Question

the number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to the right. 1.78 1.85 1.53 1.67 1.77 1.91 1.38 1.53 1.49 2.08 assume the sample is taken from a normally distributed population. construct 98% confidence intervals for (a) the population variance σ² and (b) the population standard deviation σ. (b) the confidence interval for the population standard deviation is (0.141, 0.453). (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 98% confidence, you can say that the population standard deviation is between and hours of reserve capacity. b. with 98% confidence, you can say that the population standard deviation is less than hours of reserve capacity. c. with 2% confidence, you can say that the population standard deviation is greater than hours of reserve capacity. d. with 2% confidence, you can say that the population standard deviation is between and hours of reserve capacity.

Explanation:

A confidence interval gives a range of values within which the population parameter is likely to lie. A 98% confidence interval for the population standard deviation means that if we were to take many samples and construct confidence intervals, about 98% of those intervals would contain the true population standard deviation.

Answer:

A. With 98% confidence, you can say that the population standard deviation is between \(0.141\) and \(0.453\) hours of reserve capacity.