Use a 0.05 significance level to test the claim that heights of female supermodels vary less than the heights of women in general. The standard deviation of heights of the population of women is 2.5 inches. Listed below are the heights (in inches) of randomly selected supermodels. Round the sample mean and sample standard deviation to the nearest hundredth.
71 71 70 69 69.5 70.5 71 72 70
70 69 69.5 69 70 70 66.5 70 71
Complete the following problem. Make sure you show the following for each hypothesis test:
a) H0
b) H1
c) the test statistic (round to the nearest thousandth)
d) the critical value(s)
e) the P-value (round to the nearest thousandth, use 0+ if necessary)
f) the conclusion (reject H0 or fail to reject H0)
g) the final conclusion stated in non-technical terms