The waiting times​ (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 4.5 minutes. Construct a confidence interval for the population variance σ2 and the population standard deviation σ. Use a 95% level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the population variance σ2​?   ​(__ ​, __) ​(Round to one decimal place as​ needed.) Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to one decimal place as​ needed.)     What is the confidence interval for the population standard deviation σ​?   ​(__ , __)​ (Round to one decimal place as​ needed.) Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to one decimal place as​ needed.)

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The waiting times​ (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 4.5 minutes. Construct a confidence interval for the population variance σ2 and the population standard deviation σ. Use a 95% level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the population variance σ2​?

 

​(__ ​, __) ​(Round to one decimal place as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to one decimal place as​ needed.)

 

 

What is the confidence interval for the population standard deviation σ​?

 

​(__ , __)​ (Round to one decimal place as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to one decimal place as​ needed.)

Expert Solution
Step 1

Solution:

Given information:

n= 22 sample size 

s= 4.5  Sample standard deviation

α=0.05 Level of significance 

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