In: Statistics and Probability
6) Cholesterol measurements from 54 vegetarians and 51 nonvegetarians yield the following data:
| 
 Vegetarians  | 
 115 140 160 165 175 215  | 
 125 140 160 170 180 215  | 
 125 140 160 170 180 225  | 
 130 145 160 170 180 230  | 
 130 145 165 170 180  | 
 130 150 165 170 180  | 
 130 150 165 170 185  | 
 135 150 165 170 185  | 
 135 155 165 175 185  | 
 140 160 165 175 200  | 
| 
 Nonvegetarians  | 
 105 150 175 190 210 245  | 
 110 160 175 190 210  | 
 115 165 175 190 210  | 
 125 165 180 195 210  | 
 125 165 180 200 215  | 
 130 170 180 200 220  | 
 135 170 180 200 230  | 
 145 170 185 200 230  | 
 145 170 185 200 240  | 
 150 170 190 205 240  | 
| 
 Do  | 
Do vegetarians have lower cholesterol levels than nonvegetarians? Let ? = .01.
a)State the null and alternative hypotheses
b)Choose the appropriate statistical procedure (independent or paired t-test)
c)Identify the level of significance and corresponding critical value
d)Calculate t
e)Express your results in terms of p-values (p < or p > ?)
f)Determine whether your results are significant
g)State in one or two sentences your conclusions
Worked out by hand- not with a computer program.