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The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

I think the answer will be:- m = -4 but I'm not sure.

Answer:

first is 18

second is 36

third is -10

fourth is -10

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

oval (option C)

rectangle (option D)

circle (option E)

The cross section gotten from a shape depends on the orientation of the plane used in cutting the shape.

If the plane is cutting the cylinder vertically, the cross section obtained will be a rectangle

If the plane is cutting the cylinder horizontally, the cross section obtained will be a circle

if the plane is cutting the cylinder in slant manner, the cross section will be an oval

A line is not a shape and we can't get it whne the plane cuts the cylinder.

Hence, the shapes are oval, rectangle and circle

The solution is:

Less unemployment is least likely to exist in a recession or a depression.

Explanation:

People who are not employed will have little income, and this contributes to a lower consumption of commodities. Demand and rates are likely to decrease. This, therefore, confuses people because there are few opportunities, thus causing a recession that occurs as unemployment decreases.

When the rate of unemployment increases, the recession also worsens, the rise of structural unemployment has contributed significantly to this, thus triggering the recession. The economy is also drastically affected because of the changes in employment status.

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Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

The three solutions are (0,3), (1, 3/2) and (2,0)

Given the equation below expressed as;

y = -3/2x + 3

If the value of x is zero, then;

y = -3/2(0) + 3

y = 3

Hence one of the solution is  (0, 3)

If the value of x is 1 then;

y = -3/2(1) + 3

y = -3/2 + 3

y = 3/2

Hence another solution is  (1, 3/2)

If the value of x is 2, then;

y = -3/2(2) + 3

y = -3 + 3

y = 0

Hence another of the solution is  (2, 0)

The three solutions are (0,3), (1, 3/2) and (2,0)

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Answer:

4/7

Step-by-step explanation:

5+2=7

7 children

4 boys Out of 7 children

Answer:1/7

Step-by-step explanation:

Khan academy

Answer:

770,400

Step-by-step explanation:

770,400 seconds

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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ANSWER:

the distance is 4.5

SOLUTION:

Point A is (

Answer:

the dean bought more of swiss than cheddar because hee only bought  1.5 pounds of cheddar and 1.7 of swiss

Step-by-step explanation:

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

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Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

9 cans of soup and the 4 frozen dinners were purchased

Step-by-step explanation:

Let x represent the number of cans of soup purchased.

Let y represent the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13

Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that

250x + 550y = 4450 - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

Answer:

7.3 units

Step-by-step explanation:

We have points

(2,-2) and (-5,-4)

x1- 2 , y1- -2, x2- -5 and y2- -4

d =√(x2-x1)2 + (y2-y1)

=√(-5-2)2 +(-4--2)2

=√(-7)2 + (-2)2

=√49+4

=√53

=7.3 units

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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a) There are 5 grades within one standard deviation of the mean.

b) All of the grades fall within two standard deviations of the mean.

c) There are 4 grades with a z-score less than 0.3.

The standard deviation is the square root of the variance.

We need to first calculate the mean and standard deviation of the grades.

Step 1: Calculate the mean

Mean = (60 + 64 + 75 + 77 + 83 + 86 + 91 + 95 + 98 + 100) / 10

= 811 / 10

= 81.1

Step 2: Calculate the standard deviation

s = √ {Σ(xi - x)²} / (N - 1)

where xi is the individual grade, x is the mean, and N is the total number of grades.

SD = √ {(60 - 81.1)² + (64 - 81.1)² + ... + (100 - 81.1)²} / 9

SD = √ [9746.9] / 9

SD = 10.78

Step 3: Use the mean and standard deviation to answer the questions.

A) One standard deviation from the mean in either direction would be:

81.1 - 10.78 = 70.32

81.1 + 10.78 = 91.88

So, the grades that fall within one standard deviation of the mean are:

(75, 77, 83, 86, 91)

There are 5 grades within one standard deviation of the mean.

B) Two standard deviations from the mean in either direction would be:

81.1 - 2(10.78) = 59.54

81.1 + 2(10.78) = 102.66

So, the grades that fall within two standard deviations of the mean are:

(60, 64, 75, 77, 83, 86, 91, 95, 98, 100)

All of the grades fall within two standard deviations of the mean.

C) To calculate the z-score for each grade, we use the formula:

z = (x - μ) / σ   ; where x is the individual grade, μ is the mean, and σ is the standard deviation.

For a z-score to be less than 0.3, we need to find the grades that satisfy:

(x - μ) / σ < 0.3

Rearranging this inequality, we get:

x < μ + 0.3σ

Substituting the values for μ and σ, we get:

x < 84.86

So, the grades that have a z-score less than 0.3 are (60, 64, 75, 77)

There are 4 grades with a z-score less than 0.3.

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Answer:

0.7063

Step-by-step explanation:

Given that:

Number of students = 30

Number of days in a year = 365

P(atleast 2 people share same birthday) = 1 - p(none share same Birthday)

p(none share same Birthday) =

(365! / (365 - 30)!) * 1/365^30

(365! / 335!) * 1/365^30

365! ÷ (335! * 365^30)

= 0.2936837

P(atleast 2 people share same birthday) :

1 - 0.2936837

= 0.7063163

= 0.7063 * 100%

= 70.63%