Four boxes of cereal are to be selected at random from a continuous process that

Question

fills boxes labeled "Contents: 340 g." The contents of the first three boxes are
found to weigh 339.0g, 337.7 g, and 338.9 g.

(a) What minimum weight of cereal must the fourth box contain so that the sample mean equals the amount specified in the label?

(b) Assume the fourth box will contain more cereal than any of the three boxes already tested. "What weight of cereal should the fourth box contain if the sample mean and median are to be identical?

(a) An individual used a correct method to calculate a population standard deviation, reporting a value of 1.100 when n = 12. Unfortunately, the sample
standard deviation was required. Determine the correct sample standard
deviation.

(b) Another individual used a correct method to calculate a sample standard
deviation, reporting a value of 1.732 when n = 4. Determine the population standard deviation, assuming N = 4.