Question

For each of the following write a hypothesis test by following the handout The Steps in Hypothesis Testing.

1) Smoking and College Education A survey showed that among 785 randomly selected subjects who completed four years of college that 145 of them smoke. I n the general population the smoking rate is 27%. (based on data from the American Medical Association). Use a 1% level of significance to test the claim that the rate of smoking among those with four years of college is less than the 27% rate found in the general population

2) Ski Patrol: Avalanches: Snow avalanches can be real problems for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of engineering at the University of British Columbia. Slab avalanches studied in Canada have an average thickness of μ=67 cm. The Ski Patrol in Vail, Colorado is studying slab avalanches in its region.

A random sample of avalanches in spring gave the following thickness in cm.

59 51 76 38 65 54 79 62 68 55 64 67 63 74 65 79

A box-and-whiskers plot of the data shows no outliers and a normal probability plot shows a correlation statistic of 0.973. Check for normality and if applicable, use a 5% level of significance to test the claim that the meal slab thickness is Vail region is different from that in Canada.

Answer 1