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.