in order to determine whether or not there is a significant difference between the hourly wages of two companies, two independent random samples were selected and the following statistics were calculated. company a company b sample size 80 60 sample mean $6.75 $6.25 population standard deviation $1.00 $0.95 refer to exhibit 10-8. the value of the test statistic is . a. 3.01 b. 1.645 c. 2.75 d. .098
The value of the test statistic is approximately 2.84. Its significance can't be determined.
To determine whether or not there is a significant difference between the hourly wages of two companies, we need to conduct a hypothesis test.
The null hypothesis states that there is no significant difference between the hourly wages of the two companies, while the alternative hypothesis states that there is a significant difference.
The test statistic for this hypothesis test is calculated using the formula:
\(t = (x1 - x2) / (s1^2/n1 + s2^2/n2)^(1/2)\)
where x1, x2 are the sample means for companies A and B, s1 and s2 are the sample standard deviations for companies A and B, and n1 and n2 are the sample sizes for companies A and B.
Plugging in given values, we get:
\(t = (6.75 - 6.25) / [(1^2/80) + (0.95^2/60)]^(1/2)\)
t = 0.5 / 0.1759
t = 2.8437
Without knowing the significance level or the degrees of freedom, we cannot determine whether or not the test statistic is statistically significant.
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The value of the test statistic is 2.75.
To determine the test statistic for comparing the hourly wages of two companies, the researcher would need to conduct a two-sample t-test with equal variances.
The formula for the test statistic is:
\(t = (\bar x1 - \barx2) / [s_p \times \sqrt(1/n1 + 1/n2)]\)
where:
\(\bar x1\) and\(\bar x2\) are the sample means for Company A and Company B, respectively
\(s_p\) is the pooled standard deviation of the two samples, calculated as:
\(s_p = sqrt [((n1 - 1) \times s1^2 + (n2 - 1) \times s2^2) / (n1 + n2 - 2)]\)
n1 and n2 are the sample sizes for Company A and Company B, respectively
s1 and s2 are the sample standard deviations for Company A and Company B, respectively.
Plugging in the given values, we get:
\(t = (6.75 - 6.25) / [\sqrt(((80-1)\times 1^2 + (60-1)\times 0.95^2)/(80+60-2)) \times \sqrt(1/80 + 1/60)]\)
\(t = 2.75\)
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This equation has one solution. 5(x – 1) 3x = 7(x 1) what is the solution?
Answer:
send the complete question . there are some missing signs .
Poisons are used to prevent rat damage in sugarcane fields. The U.S. Department of Agriculture is investigating whether rat poison should be located in the middle of the field or on the outer perimeter. One way to answer this question is to determine where the greater amount of damage occurs. If damage is measured by the proportion of cane stalks that have been damaged by the rats, how many stalks from each section of the field should be sampled in order to estimate the true difference between proportions of stalks damaged in the two sections, to within 0.02 with 90% confidence? (Assume equal number of stalks will be sampled from each section)
To estimate the difference between proportions, sample around 3355 stalks from each section of the field.
In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.
To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.
Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.
To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.
Using this conservative estimate, we can apply the formula for sample size determination:
n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)
where:
n is the required sample size per sectionZ is the z-score corresponding to the desired confidence level (90% confidence corresponds to a z-score of approximately 1.645)p1 and p2 are the estimated proportions of stalks damaged in the two sections (assumed to be 0.5)d is the desired precision or margin of error (0.02)Plugging in the values, we get:
n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)
n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004
n = (1.645 * sqrt\((0.5))^2\) / 0.0004
n =\((1.645 * 0.707)^2\) / 0.0004
n =\(1.158^2\) / 0.0004
n = 1.342 / 0.0004
n ≈ 3355
Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.
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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.
In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.
To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.
To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.
The formula to estimate the sample size is given by:
n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2
Where:
n is the required sample size per section
Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)
p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)
d is the desired precision (0.02)
Plugging in the values, we can calculate the sample size needed for each section.
n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2
n ≈ 664.86
Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.
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The equation y = -16x² +96x + 20 models the height, in feet, after a seconds, of a toy rocket
that is launched from a cliff that is 20 feet (ft) above the ground.
Use the above information to answer the questions below. Round all answers to the tenthplace.
Answer:
No questions are shown. See attached graph for more details.
Step-by-step explanation:
See attachment
The 6 elephants at the zoo have a combined weight of 11,894 pounds. About how much does each elephant weigh?
Answer: 14,000 i think
Step-by-step explanation:
Answer: about 1982 pounds.
Find the value of h and k.
Answer:
h = 6, k = 6.5
Step-by-step explanation:
The segment marked h is half the length of the one marked 3h-6.
2h = 3h -6
6 = h . . . . . . . add 6-2h
__
The segment marked k is half the length of the one marked 2h+1.
2k = 2(6) +1
k = 13/2 = 6.5 . . . . divide by 2
The values of h and k are 6 and 6.5, respectively.
Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
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Your friend really wants to buy the newest cell phone which will cost him $750. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $55 to detail a car and $70 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $750?
A: 55c+70x \(\leq\) 750
B: 55c+70x > 750
C: 55c+70x \(\geq\) 750
D: 55c+70x < 750
Answer:
C, 55c + 70x ≥ 750
Step-by-step explanation:
He needs a minimum of $750.
The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that,
Number of cars = c
Number of SUVs = x
Amount paid for detailed car = $55
Amount paid for detailed SUV = $70
Cost of coolest cellphone = $750
The inequality for the given data will be written as below,
(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone
55c + 70x ≤ 750
Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
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8x^{3}+26x^{2}+19x+38x
3
+26x
2
+19x+3 is divided by 4x+34x+3.
Applying synthetic division, the quotient between 8x³ + 26x² + 19x + 3 by 4x + 3 is:
2x² + 5x + 1.
Synthetic division algorithmIn the synthetic division algorithm, the coefficients of a polynomial are each divided by a value.This divisor is the zero of the divided polynomial, which goes into the far left box.In this context of this problem, the coefficients of the polynomial 8x³ + 26x² + 19x + 3 are given as follows:
8, 26, 19 and 3.
The divisor is found as follows:
4x + 3 = 0
4x = -3
x = -3/4
x = -0.75.
The resulting coefficients of the quotient are given as follows:
8, 20, 4 and remainder of 0.
Hence the quotient is:
8x² + 20x + 4.
Which can be simplified as:
2x² + 5x + 1.
The first coefficient of the polynomial, of 8, was moved down, the multiplied by -0.75 and added to 26, resulting in 20. Then the same procedure was done with 20(multiplied with -0.75 and added with the next coefficient of 19), until the last coefficient of 3.
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(3x + 5)(4x^2 + 8x + 40)
Step-by-step explanation:
= ( 3x + 5 ) ( 4x² + 8x + 40 )
= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )
= 12x³ + 24x²+ 120x + 20x² + 40x + 200
= 12x³ + 24x² + 20x² + 120x + 40x + 200
= 12x³ + 44x² + 160x + 200
Answer:
12x^3 +44x^2 +160x +200
Step-by-step explanation:
Distribute:
(3x+5)(4x^2 +8x+40)
3x(4x^2 +8x+40) +5(4x^2 +8x+40)
Then it would be:
(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)
therefore the soloution is:
12x^3 +44x^2 +160x +200
I need help With surface area but I’m not in a room right now help
The prompt on measurement of rooms and surface area is given below. Note that the total surface area of the room is 752 ft².
What is the explanation for the above response? The room measured is the Sitting Roomdimensions of the room are length = 12 feet, width = 10 feet, and height = 8 feet.The area of the base of the room is the product of the length and width of the room. In this case, the area of the base of the room is 12 x 10 = 120 square feet.The perimeter of the base of the room is the sum of the lengths of all four sides of the base. In this case, the perimeter of the base of the room is 2(12 + 10) = 44 feet.To find the total surface area of the room, you need to calculate the area of each face of the rectangular prism and add them up.The area of the front and back faces is the product of the length and height of the room, which is 12 x 8 = 96 square feet.The area of the two side faces is the product of the width and height of the room, which is 10 x 8 = 80 square feet each, for a total of 160 square feet.The area of the top and bottom faces is the product of the length and width of the room, which is 12 x 10 = 120 square feet each, for a total of 240 square feet.Therefore, the total surface area of the room is 96 + 96 + 160 + 160 + 120 + 120 = 752 square feet.
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pls answer the question in the following pic below
Answer:
1:3
Step-by-step explanation:
8:24
divide by 8
1:3
Answer 1.3
hope it help!
Step-by-step explanation:
\(\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }\)solve this equation
Answer:
Step-by-step explanation:
Exponent law:
\(\sf \bf a^m * a^n = a^{m+n}\\\\ (a^m)^n = a^{m*n}\)
\(\sf a^{-m}=\dfrac{1}{a^m}\)
First convert radical form to exponent form and then apply exponent law.
\(\sf \sqrt{3}=3^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}\)
\(\sf \left(\dfrac{(\sqrt{3}*3^{-2}}{(\sqrt{5})^2}\right)^{\frac{1}{2}}= \left(\dfrac{3^{\frac{1}{2}}*3^{-2}}{(5^{\frac{1}{2}})^2} \right )^{\frac{1}{2}}\)
\(= \left(\dfrac{3^{\frac{1}{2}-2}}{5^{\frac{1}{2}*2}}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{1-4}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{-3}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\dfrac{3^{\frac{-3}{2}*{\frac{1}{2}}}}{5^{\frac{1}{2}}}\\\\ =\dfrac{3^{{\frac{-3}{4}}}}{5^{\frac{1}{2}}}\)
8(2x + 3y)
In distributive property
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
How do you find the cube root of a number?
I am literally confused, it would be appreciated if someone explained to me. Thank you :)
Answer:
How to Cube A Number
To cube a number, just use it in a multiplication 3 times .
A cube root goes the other direction:
3 cubed is 27, so the cube root of 27 is 3
A fire department’s longest ladder is 110 feet long, and the safety regulation states that they can use it for rescues up to 100 feet off the ground. What is the maximum safe angle of elevation for the rescue ladder?
Answer:
65.4 degrees
Step-by-step explanation:
sin theta = 100/110
theta = inverse sin (100/110)
theta = 65.4 degrees
Hope this helped!
The required maximum safe angle of elevation for the rescue ladder is 65.4°
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
Perpendicular distance = 100 ft
hypotenuse length = 110 ft
SinФ = perpendicular height/hypotenuse length
sin Ф= 100/110
Ф = inverse sin (100/110)
Ф = 65.4 °
Thus, the required maximum safe angle of elevation for the rescue ladder is 65.4°
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May 23, 8:49:32 PM
Watch help video
In physics lab, Austin attaches a wireless sensor to one of the spokes of a bicycle
wheel spinning freely on its axle. The sensor's height above the ground, in
centimeters, is given by the function h(t) = 7.46 cos(2(t-0.25)) + 38.86,
where t is time measured in seconds.
What is the minimum and what does it represent in this
context?
The minimum is 29 cm and it represents the sensor's minimum height above the ground.
How to interpret the graph of a cosine function?In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):
y = Acos(Bx - C) + D
Where:
A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.
In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
Please help I would really appreciate it
Answer:
alternate exterior
a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in or fewer successes?
In a binomial experiment with probability of success and trials is conducted, the probability of one trial is independent of another.
How to find the number of success in a binomial distribution?
The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial expression, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.
One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the probability of one trial do not influence those of the others.
Therefore, in a binomial experiment with probability of success and trials is conducted, the probability of onetrial is independent of another.
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a motorcycle tire has a radius of 1 foot if the motorcycle travels at a speed of 6,300 feet per minute, how many revolutions will each tire make in 2 minutes
a.) 500
b.) 1000
c.) 2000
d.) 2,500
Please show work and explain BEST ANSWER WILL BE THE BRAINIEST
9514 1404 393
Answer:
c.) 2000
Step-by-step explanation:
In 2 minutes, the motorcycle travels a distance of ...
(6300 ft/min)(2 min) = 12600 ft
The circumference of the tire is ...
C = 2πr = 2π(1 ft) = 2π ft
The distance traveled is n times the circumference, where n is the number of revolutions of the tire.
12600 = 2π·n
12600/(2π) = n = 6300/π ≈ 2005.4
The tire makes about 2000 revolutions in 2 minutes.
5 bullets in a 6 bullet barrell, what are your chances of dying on the first trigger pull?
Compound interest factors: Two ways to determine Consider the following factors. 1. (F/P,17%,34) 2. (A/G,23%,45) Problem 02.027.a - Linear interpolation of tabulated factors Find the numerical values of the factors using linear interpolation. The numerical value of factor 1 is The numerical value of factor 2 is
The factor of the expression using linear interpolation is 208.12 and 11,110.41
What is Linear Interpolation?Linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.
Now, The linear interpolation is given as:
1. (F/P,17%,34)
2. (A/G,23%,45)
Now, According to the question:
The factor is then calculated as:
\(Factor=(1+17\)%\()^3^4\)
Express 17% as decimal
\(Factor=(1+0.17)^3^4\)
Take the sum of 1 and 0.17
\(Factor=(1.17)^3^4\)
Evaluate the exponent
Factor = 208.12
2.The factor is then calculated as:
\(Factor=(1+23\)%\()^4^5\)
Express 23% as decimal
\(Factor=(1+0.23)^4^5\)
Take the sum of 1 and 0.23
\(Factor=(1.23)^4^5\)
Evaluate the exponent
Factor = 11,110.41
Hence, the factor of the expression using linear interpolation is 208.12 and 11,110.41
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Please help me determine the volume. c;
Answer:
The answer is 720 ft of the triangular prism.
Step-by-step explanation:
10ft (x6) > 12= 720
a school takes feild triod tk the skating rink. when thd school brings 30 people they are charged 180 dollars. when the school brings 50 people they are charged 220 dollars. write and equation in slope intercept form to represent this situation and explain what the slope and y intercept represent.
y = 3x^2+20 when x = 21
Answer:
y=1343
Step-by-step explanation:
when you plug in 21 for x the equation would be 3(21)^2+20 solve using the order of operations and you get 1343
There are 7 people taking part in a raffle.
Ann, Elsa, Hans, Jim, Kira, Lena, and Omar.
Suppose that prize winners are randomly selected from the 7 people.
Compute the probability of each of the following events.
Event A: Kira is the first prize winner, Ann is second, Omar is third, and Hans is fourth.
Event B: The first four prize winners are Lena, Omar, Hans, and Jim, regardless of order.
Write your answers as fractions in simplest form.
P (A) =
х
6
?
P (3) = 1
Answer:
I dont really know l
Step-by-step explanation:
I just want a free answer lol
6+4=10
:)
ur welcome incase u did not know the problem
Solve for 1/3(8x-5)-4=-3
Let's solve your equation step-by-step.
13(8x−5)−4=−3
Step 1: Simplify both sides of the equation.
13(8x−5)−4=−3
(13)(8x)+(13)(−5)+−4=−3 (Distribute)
83x+−53+−4=−3
(83x)+(−53+−4)=−3 (Combine Like Terms)
83x+−173=−3
83x+−173=−3
Step 2: Add 17/3 to both sides.
83x+−173+173=−3+173
83x=83
Step 3: Multiply both sides by 3/8.
(38)*(83x)=(38)*(83)
X = 1
Answer: x = 1
Step-by-step explanation
a ______ is a way to organize qualitative data into categories and record the number of observations in each category.
Frequency distribution is a way to organize qualitative data into categories and record the number of observations in each category.
Differentiate between frequency distribution and relative frequency ?
A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.
One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.
Define relative frequency distribution
A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.
what is qualitative data ?
Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.
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Answer Immediately Please
Answer:
x = 28.5 units
Step-by-step explanation:
from the angles we understand that they are similar, therefore in proportion, we solve, in fact, with a proportion between the corresponding sides
24 : x = 32 : 38
x = 24 x 38 : 32
x = 912 : 32
x = 28.5 units
-------------------------
check
24 : 28.5 = 32 : 38
0.84 = 0.84
The answer is good