A fruit-canning company produces 250ml pineapple juice cans at its bottling plant. The population standard deviation for volume of pineapple juice filled in the cans this company measured was 10ml. Assume that this company takes a random sample of 25 cans. What is the standard deviation of the sampling distribution?

A manufacturing process produces packages of walnuts. The package weights follow a normal distribution with a mean of 9.2 oz and a standard deviation of 2.5 oz. How many packages should be randomly selected so that the standard error is equal to 0.1 oz? packages.

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 365 seconds. For a sample of 47 patients, the mean time in which the medicine relieved pain was 370 seconds. Assume the population standard deviation is 25. Find the P-value of the test statistic.

A hiring manager rates a large pool of job applicants for eligibility for a job vacancy. The ratings are normally distributed with a mean of 100 and a standard deviation of 15. Find the rating score that separates the top 10% with the rest. Round to the closest integer.