simple random sample of size n-35 is obtained. Complete parts a through e below. B Click here to view the t-Distribution Area in Right Tail (a) Does the population have to be normaly distributed totest this hypothesis? Why? OA. Yes, because n230. O B. No, because n2 30 C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x 101.9 and s 5.7, compute the test statistic. The test statistic is to(Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. Ов. Ос.
Answers
The population does not have to be normaly distributed (b) because n ≥ 30
The test statistic is -3.218
Does the population have to be normaly distributedFrom the question, we have the following parameters that can be used in our computation:
n = 35
This represents the sample size
The sample size is greater than 30 as required by the central limit theorem
So, the true option is (b) No, because n ≥ 30
Calculating the test statisticHere, we have
x = 101.9
s = 5.7
μ = 105
So, we have
t = (x - μ) / (s / √n)
This gives
t = (101.9 - 105) / (5.7 / √35)
Evaluate
t = -3.218
Hence, the test statistic is -3.218
Read more about test of hypothesis at
https://brainly.com/question/14701209
#SPJ4
Related Questions
There are 4 consecutive even integers that sum to 68. What are the integers?
Answers
Hi there,
Let x be the first number.Then the next three even numbers are x+2, x+4, and x+6.The sum of these numbers is 68So,
x + (x + 2) + (x + 4) + (x + 6) = 68Simplify and solve for x.
4x + 12 = 684x = 68 - 12x = 56/4x = 14In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.
Checking we see that 14+16+18+20=68.
What are consecutive integers?Consecutive integers are integers that follow each other in order.x+y=2 in slopt intercept form
Answers
Answer:
y = -x + 2
Step-by-step explanation:
x + y = 2
y = -x + 2
In Evan's senior class of 240 students, 85% are planning to attend college after graduation. What is the probability that a senior is chosen at random not planning to attend college after graduation?
Answers
Answer:
36% ,hope this helps
Step-by-step explanation:
1) 100 - 85 = 15
2) 240 times 15 devided by:100
3) equals 36
4) 36 %
we are given an array of numbers and we are asked to find an optimal solution to maximize the sum of numbers (i.e continuous subsequence that has maximum sum). if the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer. T/F
Answers
The statement ''If the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer.'' is false because the order of the input numbers and the choice of algorithm can indeed affect the resulting combination of numbers that maximizes the sum.
The maximum sum of a continuous subsequence within an array depends on the values and arrangement of the numbers.
Different orders of the input numbers can lead to different maximum sums and different combinations of numbers that achieve those sums.
Similarly, the choice of algorithm can also impact the result. Different algorithms may employ different strategies for finding the maximum sum subsequence, which can yield different combinations of numbers as the optimal solution.
Therefore, it is incorrect to claim that altering the order of input numbers or using a different algorithm will always result in the same combination of numbers as the answer.
To know more about input numbers refer here:
https://brainly.com/question/14188691#
#SPJ11
L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
Answers
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
For more question on equation
https://brainly.com/question/17145398
#SPJ8
Let ⋆ be the binary operation on z (set of integers) defined by
a ⋆ b = 2ab + 5
show that ⋆ is commutative. hint: show that a ⋆ b = b ⋆ a
solution:
show that ⋆ is associative. hint: show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
solution:
a. let ⋆ be the binary operation on z (set of integers) defined by
a ⋆ b = a + b + ab
1. show that ⋆ is commutative. hint: show that a ⋆ b = b ⋆ a
solution:
2.show that ⋆ is associative. hint: show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
solution:
Answers
Since the expression is the same, we can conclude that the binary operation ⋆ is associative.
To show that the binary operation ⋆ is commutative, we need to demonstrate that a ⋆ b is equal to b ⋆ a for any integers a and b.
Let's start by evaluating a ⋆ b:
a ⋆ b = 2ab + 5.
Now let's evaluate b ⋆ a:
b ⋆ a = 2ba + 5.
By comparing the expressions for a ⋆ b and b ⋆ a, we can see that they are indeed equal:
2ab + 5 = 2ba + 5.
Since the expression is the same, we can conclude that the binary operation ⋆ is commutative.
To show that the binary operation ⋆ is associative, we need to demonstrate that (a ⋆ b) ⋆ c is equal to a ⋆ (b ⋆ c) for any integers a, b, and c.
Let's evaluate (a ⋆ b) ⋆ c:
(a ⋆ b) ⋆ c = (2ab + 5) ⋆ c = 2(2ab + 5)c + 5 = 4abc + 10c + 5.
Now let's evaluate a ⋆ (b ⋆ c):
a ⋆ (b ⋆ c) = a ⋆ (2bc + 5) = 2a(2bc + 5) + 5 = 4abc + 10a + 5.
By comparing the expressions for (a ⋆ b) ⋆ c and a ⋆ (b ⋆ c), we can see that they are indeed equal:
4abc + 10c + 5 = 4abc + 10a + 5.
To know more about binary operation, refer here:
https://brainly.com/question/30666019
#SPJ11
I need help on this anyone got answers
Answers
Answer:
cos R is 44/55
sin S is 33 / 55
Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
Answers
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
Learn more about standard deviation here: brainly.com/question/29808998
#SPJ11
answer; #13,#14,#15. ((PLEASE HELP ME)). ((due today)).
Answers
The domain and range of f(x) = -24 are given as follows:
Domain: all real values.Range: {-24.}The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:
Domain: all real values.Range: f(x) >= -11.The range of y = -2x² + 12x - 13 is given as follows:
y <= 5.
How to obtain the domain and the range of a function?The domain of a function is the set that contains all the input values that can be assumed by the function.
As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.
The range of a function is the set that contains all the output values that can be assumed by the function.
The ranges are given as follows:
Constant function: single constant, hence the {}.Quadratic functions: negative infinity to vertex (concave down) and vertex to positive infinity (concave up).More can be learned about the domain and the range of a function at https://brainly.com/question/30248800
#SPJ1
Suppose ms bush charges $4 per baseball. Would each team pay more if there are 6 teams or 9 teams?
Answers
It is going to be more expensive for 9 teams to buy these baseballs.
It has been mentioned in the problem that Ms.Bush charges $4 per baseball. This means that we need to pay $4xn dollars where n is the number of baseballs. According to the question, the member of baseball depends on the number of teams as well. More teams mean more baseballs will be bought.
Since it is obvious that 9 is greater than 6, so, it automatically means that it is going to be more expensive for 9 teams to buy these baseballs as compared to 6 teams.
Learn more about greater than problems on
https://brainly.com/question/29163855?referrer=searchResults
#SPJ4
What’s the percentage?
Answers
Answer:
66%
Step-by-step explanation:
66 out of 100 (66/100) of the grid is shaded, which is 66%
statistical measures that communicate the most information should be used with scales that contain the most information. true false
Answers
True , statistical measures that communicate the most information should be used with scales that contain the most information.
Given :
statistical measures that communicate the most information should be used with scales that contain the most information. true or false .
we know that ,
What is statistical measures ?
The mean, median, mode, percentiles, range, variance, and standard deviation are the most commonly used numerical measures for quantitative data.
So the statistical measures that must communicate the most information should be used with scales that contain the most information for knowing the details of the given data .
Learn more about the measures here:
https://brainly.com/question/12020266
#SPJ4
find the unknown angle 56°
Answers
The sum of angle 36 degree and 3x is equal to 180 degree. So equation for x is,
\(3x+36=180\)Simplify the equation for x.
\(\begin{gathered} 3x+36=180 \\ 3x=180-36 \\ x=\frac{144}{3} \\ =48 \end{gathered}\)So value of x is 48.
The equation is 3x + 36 = 180 and value of x is 48.
What are the solutions to the quadratic equation (2b+3)^2=12
Answers
Answer:
b=− 3/4 =−1.333
b= 2/3=1.500
explanation
middle term, which is -1 .
-72 + 1 = -71
-36 + 2 = -34
-24 + 3 = -21
-18 + 4 = -14
-12 + 6 = -6
-9 + 8 = -1 That's it
Two real solutions:
b =(1+√289)/12=(1+17)/12= 1.500
or:
b =(1-√289)/12=(1-17)/12= -1.333
Noah buys a packet of beads. He uses 1/2 of the packets to make a necklace, and 2/5 of the packet to make a bracelet. What fraction of the packet is left over
Answers
Evaluate limh→0f(8 h)−f(8)h, where f(x)=3x 2. if the limit does not exist enter dne.
Answers
The limit exist for →0f(8 h)−f(8)h is 48.
How to evaluate the limit?
Follow these steps:
1. Substitute the given function f(x) = 3x² into the expression: lim(h→0) [(3(8+h)² - 3(8²))/h]
2. Expand the expression: lim(h→0) [(3(64 + 16h + h²) - 3(64))/h]
3. Simplify the expression: lim(h→0) [(192 + 48h + 3h² - 192)/h]
4. Cancel out the constant terms: lim(h→0) [(48h + 3h²)/h]
5. Factor out h from the expression: lim(h→0) [h(48 + 3h)/h]
6. Cancel out h from the numerator and denominator: lim(h→0) [48 + 3h]
7. Substitute h = 0 into the expression: 48 + 3(0) = 48
So, the limit is 48.
Learn more about constant terms.
brainly.com/question/26099230
#SPJ11
PLEASE YALL I NEED TO GET THIS DONE TN
Ricky is playing a game using 5 cards and a spinner. The cards are numbered 1,2,3,4, and
5 and the spinner is divided into three equal parts. If Ricky picks a card and spins the
spinner, what number would represent the sample size?
options
15
8
3
5
Answers
Answer:
15
Step-by-step explanation:
The cards have 5 possible outcomes and the spinner has 3 possible outcomes. To find the sample size, you need to calculate the number of possibilities when drawing 1 card and landing on 1 side of the spinner. You can do this by multiplying the possible outcomes together.
5×3 = 15
Therefore, the sample size is 15.
Answer:
Option 1: 15
Step-by-step explanation:
Ricky is playing a game using 5 cards and a spinner
Card 1 , Card 2 , Card 3 , Card 4 , Card 5
and
㉦ Green, Red, Blue
Ricky picks a card and spins the spinner
The sample size outcome is:
{(1, G) (1, R) (1, B) (2, G) (2, R) (2, B) (3, G) (3, R) (3, B) (4, G) (4, R) (4, B) (5, G) (5, R) (5, B)}
Sample size is 15
What is the distance around triangle tats has sides measuring 2 1/8 feet, 3 1/2 feet, 2 1/2 feet?
Answers
Answer:
8 1/8 ft
Step-by-step explanation:
convert all to eighths
2 1/8 feet
3 4/8 feet
2 4/8 feet
add
7 9/8 feet
reduce
8 1/8 feet
Testing H0:μ=5.74H1:μ=5.74 Your sample consists of 7 subjects, with a mean of 7.1 and standard deviation of 4.72. Calculate the test statistic, rounded to 2 decimal places.
Answers
The calculated value of the test statistic is 0.76.
How to calculate the test statisticFrom the question, we have the following parameters that can be used in our computation:
Sample Mean, x = 7.1Sample Size, n = 7Standard Deviation, s = 4.72Population Mean, μ = 5.74The test statistic can be calculated using
t = (x - μ)/(s/√n)
Substitute the known values in the above equation, so, we have the following representation
t = (7.1 - 5.74) / (4.72 / √7)
Evaluate
t = 0.76
Hence, the test statistic is 0.76.
Read more about test statistic at
https://brainly.com/question/15110538
#SPJ4
a. During a basketball practice, Mai attempted 40 free throws and was successful
on 25% of them. How many successful free throws did she make?
Answers
Answer:
ten
Step-by-step explanation:
40/4=10 so I think that's 25% of the throws
you and a friend each roll two dice. what is the probability that you both have the same two numbers? (the two cases are whether you role doubles or not)
Answers
The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.
If you and your friend each roll two dice, there are two possible cases:
You both roll doubles (i.e., both dice show the same number).
You both roll non-doubles (i.e., the two dice show different numbers).
Let's calculate the probability of each case separately:
The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.
The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.
Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:
1/1296 + 625/1296
= 626/1296
= 0.4823 (rounded to four decimal places)
So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.
To know more about probability check below link:
https://brainly.com/question/24756209
#SPJ4
My friends and i are buying a total of 20 cupcakes. i'd like to buy 10% of the total
Answers
You would like to buy 2 cupcakes out of the total of 20 cupcakes. This proportion represents your share based on the 10% you desire.
If you and your friends are collectively buying 20 cupcakes, and you would like to buy 10% of the total, it means you want to purchase a portion that corresponds to 10% of the whole.
To calculate this, you can multiply the total number of cupcakes (20) by 10% (or 0.10), which represents the fraction or decimal form of 10%.
10% of 20 can be computed as follows:
10% of 20 = 0.10 * 20 = 2
Therefore, you would like to buy 2 cupcakes out of the total of 20 cupcakes. This proportion represents your share based on the 10% you desire.
By purchasing 2 cupcakes, you ensure that you have obtained your desired portion while leaving the remaining 18 cupcakes for your friends to distribute among themselves. This way, everyone gets a fair share, and you are able to satisfy your preference for 10% of the total quantity.
To know more about proportion:
https://brainly.com/question/33460130
#SPJ4
{(2,u), (0,e), (-1,e), (2,e)} is this a function or not
Answers
Choose all answers that describe the polygon NOPQ
Answers
Answer:Parallelogram,Quadrilateral,Rhombus
Step-by-step explanation:
I js guessed & got it right!!
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A.
Positive correlation means that both variables tend to increase (or decrease) together.
B.
Positive correlation means that there is a good relationship between the two variables.
C.
Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D.
Positive correlation means that there is no apparent relationship between the two variables.
Answers
Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.
Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.
Learn more about Positive correlation:
https://brainly.com/question/28898177
#SPJ4
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answers
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
Given ~v1 = h1,3,4i and ~v2 = h⇡,e,7i, find
(a) the distance from v1 to v2, (b) v1 · v2 and v1 ⇥ v2,
(c) the (parametric) equation for a line through the points (1, 3, 4) and (⇡, e, 7),
(d) thee quation for the plane containing the points(1,3,4),(⇡,e,7) and the origin.
Answers
Which best describes a standard thermometer...
EXPLAIN
Rational
Real Number
Whole Number
Integer
Answers
Answer:
inteager
Step-by-step explanation:
temperature can express both positive and negative
the perimeter of a rectangle is twice the sum of its length and width. The perimeter is 22 meters and its length is 2 meters more than twice its width. What is the length?
Answers
Answer:
Length=8 & Width=3
Step-by-step explanation:
The perimeter is 22 meters and is twice the sum of its length and width. 8+3 is 11, and 11 times 2 is 22. Also, its length is 2 meters more than twice its width. Width is 3 because 3 times 2 is 6, and 6 plus 2 more meters is 8 (which is the length). Hope this helps!
there is no prior information about the proportion of americans who support gun control in 2018. if we want to estimate 95% confidence interval for the true proportion of americans who support gun control in 2018 with a 0.36 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number)
Answers
Answer:
Step-by-step explanation:
To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)
p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)
E = margin of error
Substituting the values into the formula:
n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2
n = (3.8416 * 0.25) / 0.1296
n ≈ 9.6042 / 0.1296
n ≈ 74.0842
Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.