Question

you randomly select and measure the contents of 10 bottles of cough 4.218 4.298 4.253 4.242 4.188 syrup. the results (in fluid ounces) are shown to the right. 4.244 4.265 4.246 4.221 4.236 assume the sample is taken from a normally distributed population. construct 80% confidence intervals for (a) the population variance \\( \sigma^{2} \\) and (b) the population standard deviation \\( \sigma \\). interpret the results. (a) the confidence interval for the population variance is (0.000530, 0.001860). (round to six 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 six decimal place as needed.) a. with 20% confidence, it can be said that the b. with 80% confidence, it can be said that the population variance is between and. population variance is greater than c. with 80% confidence, it can be said that the d. with 20% confidence, it can be said that the population variance is between and. population variance is less than

Explanation:

A confidence interval for the population variance gives a range of values within which the true population variance is likely to lie. An 80% confidence interval means that if we were to take many samples and construct confidence intervals in the same way, about 80% of those intervals would contain the true population variance.

Answer:

C. With 80% confidence, it can be said that the population variance is between \(0.000530\) and \(0.001860\).