A survey asked, “What do you think is the ideal number of hours a child should study?” The 528 female students who responded had a median of 5, mean of 6.02, and standard deviation of 2.75.

(a) Find and interpret the standard error of the sample mean.

(b) The 95% confidence interval is (5.79, 6.25). Interpret.

(c) Is it plausible that the population mean = 5? Explain.