Question: Using what we know about the height of 15-year-old girls (again, μ = 63.8 inches and σ = 2.66 inches), imagine that a teacher finds the average height of 14 female students in one of her classes to be 62.4 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 shorter than this group?
d. How often do mean heights equal to or more extreme than this size occur in this population?
e. If statisticians define sample means that occur less than 5% of the time as "special" or rare, what would you say about this result?