2. Construct a 95% confidence interval for the population standard deviation of a random sample of 15 men who have a mean weight of 165.2 pounds with a standard deviation of 12.7 pounds. Assume the population is normally distributed. A. (2.6,5.6) B. (9.8, 18.5) C. (86.5,401.1) D. (9.3,20.0)

A simple random sample of 27 filtered​ 100-mm cigarettes is obtained from a normally distributed​ population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.22 mg. Use an 0.05 significance level to test the claim that the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.35​mg, which is the standard deviation for unfiltered​ king-size cigarettes.  a. Find the test statistic. chi squared equals​(Round to three decimal places as​ needed.)   b. Find the​ P-value of the test statistic. The​ P-value of the test statistic is ​(Round to three decimal places as​ needed.)

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P89, the 89-percentile. This is the temperature reading separating the bottom 89% from the top 11%. P89 = *C

A random sample of 58 apples are selected from an orchard and the weight of each apple is measured. The mean weight is 96.8 grams and the standard deviation is 16.6 grams. Which of the following best describes the distribution of the mean weight of apples for samples of size 58? A: It is normal with a mean of 96.8grams and a standard error of 0.29grams. B: It is normal with a mean of 96.8grams and a standard error of 2.18grams. C: It has a mean of 96.8grams and a standard error of 2.18grams. D: It has a mean of 96.8grams and a standard error of 16.6grams.