The diameters? (in inches) of 17 randomly selected bolts produced by a machine a
ID: 3368753 • Letter: T
Question
The diameters? (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 95?% level of confidence to construct a confidence interval for ?(a) the population variance sigma squared and ?(b) the population standard deviation sigma. Interpret the results. 4.468 4.423 4.036 4.361 4.005 3.746 3.825 3.754 4.237 3.952 4.125 4.566 3.975 3.743 3.854 3.825 4.466 ?(a) The confidence interval for the population variance is ?( nothing?, nothing?). ?(Round to three decimal places as? needed.) Interpret the results. Select the correct choice below and fill in the answer? box(es) to complete your choice. ?(Round to three decimal places as? needed.) A. With 95?% ?confidence, it can be said that the population variance is greater than nothing. B. With 95?% ?confidence, it can be said that the population variance is between nothing and nothing. C. With 5?% ?confidence, it can be said that the population variance is between nothing and nothing. D. With 5?% ?confidence, it can be said that the population variance is less than nothing. ?(b) The confidence interval for the population standard deviation is ?( nothing?, nothing?). ?(Round to three decimal places as? needed.) Interpret the results. Select the correct choice below and fill in the answer? box(es) to complete your choice. ?(Round to three decimal place as? needed.) A. With 95?% ?confidence, you can say that the population standard deviation is between nothing and nothing inches. B. With 5?% ?confidence, you can say that the population standard deviation is between nothing and nothing inches. C. With 5?% ?confidence, you can say that the population standard deviation is greater than nothing inches. D. With 95?% ?confidence, you can say that the population standard deviation is less than nothing inches. Click to select your answer(s).
Explanation / Answer
The statistical software output for this problem is:
One sample variance confidence interval:
?2 : Variance of variable
95% confidence interval results:
Hence,
95% confidence interval for population variance is: (0.045, 0.189)
Option B; 0.045; 0.189
95% confidence interval for population standard deivation is: (0.213, 0.435)
Option A; 0.213; 0.435
Variable Sample Var. DF L. Limit U. Limit Data 0.081657309 16 0.045293848 0.18914019