7. The mcasurcnents of the drying time, in hours, of a certain brand of latex paint follow a normal distribution. Suppose 22 mcasurements of the drying times are recorded. The sample mean and the standard deviation of 22 mcasurements is 3.70 and 0.946, respec- tively. (a) Construct a 90% confidcnce interval for the truc mcan measurements of the drying times. Assumne that the distribution of the mcasurements of the drying times is approximately normal. (b) Find the 95% confidence interval for the standard deviation of measurcments of the drying times.

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