The college statistics club is reviewing its order for sweat suits for the new fall semester. Its review involves the random sample of heights for 24 students, listed here (in inches):

Find each of the following:
a. mean
b. median
c. mode
d. midrange
e. range
f. variance
g. standard deviation
h. Q1
i. Q2
j. Q3
k. What is the level of measurement of these data? (nominal, ordinal, interval, ratio)
l. Construct a boxplot for the data.
m. Construct a histogram and identify its general shape.
n. Construct a 99% confidence interval for the population mean.
o. Construct a 99% confidence interval for the standard deviation s.
p. Find the sample size necessary to estimate the mean height so that there is 99% confidence that the sample mean is in error by no more than 0.2 in. Use the sample standard deviation s from part (g) as an estimate of the population standard deviation σ.
q. Based on a prior study, the heights of statistics students are approximately normally distributed with a mean of 68.00 in. and a standard deviation of 4.36 in. Do the heights of the new sample of 24 students (as listed above) agree with the population parameters for statistics students? Explain.

Transcribed Image Text:

73.4 66.9 68.2 70.6 67.1 70.4 71.0 65.9 72.5 705 71.5 69.5 70.4 68.6 69.7 70.9 72.1 73.3 72.6 67.4 69.4 71.9 69.3 71.6