Another teacher decides to average height of all 15-year-old male students in his classes during the day. By the end of the day, he has measured the heights of 57 boys and computed an average of 68.1 inches. (population mean: 67in, standard deviation:3.19in)
a. Compute the mean and the stadard error of the distribution of mean heights.
b. Compute the z statistic for this group.
c. What percentage of groups of people would we expect to have mean heighs, based on samples of this size (57), taller than this group?
d. How often do mean heights equal to or more extreme than 68.1 occur in this population?
e. How does this result compare to the statisical significance cutoff of 5%?