A random sample of 40 ostrich eggs has a mean incubation period of 42 days. Assume the population standard deviation is 1.6 days. (a) Construct a 95% confidence interval for the population mean...

A random sample of 40 ostrich eggs has a mean incubation period of 42 days. Assume the population standard deviation is 1.6 days.

(a) Construct a 95% confidence interval for the population mean incubation period.

(b) A zoologist claims that the mean incubation period for ostriches is at least 45 days. At a = 0.05, can you reject the zoologist’s claim? Interpret the decision in the context of the original claim.