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nydimaria [60]
1 year ago
11

Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A samp

le of 25 days of sales at store A has a sample standard deviation of 30, while a sample of 16 days of sales from store B has a sample standard deviation of 20. At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct.
Mathematics
1 answer:
Fiesta28 [93]1 year ago
3 0

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 n=25

Standard deviation 1 \sigma_1=30

Sample 2 n=16

Standard deviation 2 \sigma_2=20

Level of  confidence \alpha=95\%=>0.95

Generally The Hypothesis are given as

 H_0:\sigma_1^2=\sigma_1^2

 H_1:\sigma_1^2\neq \sigma_1^2

Generally the equation for test Statistics is mathematically given by

 T=\frac{\sigma_1^2}{\sigma_2^2}

 T=\frac{30^2}{20^2}

 T=2.25

Therefore

Critical Value

 X=(\alpha,df_1)

 X'=(\alpha,df_2)

Where

 df=n-1

Therefore

 X=(0.95,24)

 X'=(0.95,15)

From Table

 T_{Critical}=T_x,T_{x'}

 T_{Critical}=0.41,2.701

Therefore

 T_x

Hence,We fail to reject the Null Hypothesis H_0

Option A , should not be rejected

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Answer:

D. All three chose a valid first step toward solving the equation.

Step-by-step explanation:

Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .

Which of the following is true?

A. Blaine and Cruz made an error in picking their first steps.

B. Cruz made an error in picking his first step.

C. All three made an error because the right side equals -1.

D. All three chose a valid first step toward solving the equation.

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4/7(7 - n) = -1

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