A packaging line fills nominal 32-ounce tomato juice jars with a quantity of juice havin...

A packaging line fills nominal 32-ounce tomato juice jars with a quantity of juice having a normal distribution with a mean of 32.30 ounces. The process should have a standard deviation smaller than .15 ounces per jar. (A larger standard deviation leads to too many underfilled and overfilled jars.) A random sample of 50 jars is taken every hour to evaluate the process. The data from one such sample are summarized here.

a. If the process yields jars having a normal distribution with a mean of 32.30 ounces and a standard deviation of .15 ounces, what proportion of the jars filled on the packaging line will be underfilled?

b. Does the plot suggest any violation of the conditions necessary to use the chi-square procedures for generating a confidence interval and a test of hypotheses about ?

c. Construct a 95% confidence interval on the process standard deviation.

d. Do the data indicate that the process standard deviation is greater than .15? Use α = .05.

e. Place bounds on the p-value of the test.