1. There is a new drug that is used to treat leukemia. The following data represents the remission time in weeks for a random sample of 21 patients using the drug.
| 10 |
7 |
32 |
23 |
22 |
6 |
16 |
| 11 |
20 |
19 |
6 |
17 |
35 |
6 |
| 10 |
34 |
32 |
25 |
13 |
9 |
6 |
Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?
State the Null Hypothesis
State the Alternatice Hypothesis
State the Level of significance
State the Test Statistic
2. We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.
| Men |
Women |
| 20 |
29 |
| 37 |
28 |
| 46 |
20 |
| 23 |
28 |
| 20 |
42 |
| 23 |
45 |
| 21 |
19 |
| 15 |
45 |
| 20 |
16 |
| 28 |
32 |
| 27 |
38 |
| 20 |
45 |
| 30 |
41 |
| 22 |
34 |
| 27 |
28 |
| 38 |
21 |
| 29 |
42 |
| 20 |
21 |
| 16 |
30 |
| 27 |
28 |
| 42 |
30 |
| 37 |
43 |
| 39 |
40 |
| 39 |
16 |
| 32 |
44 |
| 16 |
15 |
| 21 |
16 |
| 26 |
20 |
| 17 |
41 |
| 39 |
16 |
State the Null Hypothesis
State the Alternatice Hypothesis
State the Level of significance
State the Test Statistic