Question: Another teacher decides to average the height of all male students in all of his classes throughout the day. By the end of the day, he has measured the heights of 57 boys and calculated an average of 68.1 inches (μ = 67 inches and σ = 3.19 inches).
a. Calculate the mean and standard error of the distribution of mean heights.
b. Calculate the z statistic for this group.
c. What percentage of mean heights, based on samples of this size, would we expect to be taller than this group?
d. How often do mean heights equal to or more extreme than this size occur in this population?
e. How does this result compare to the statistical significance cutoff of 5%?