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nydimaria [60]
3 years 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]3 years 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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