Case study:
Problem 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. Does the data indicate that the mean remission time using the new drug is different at a level of significance of ?
1. State the Null Hypothesis
2. State the Alternative Hypothesis
3. State the Level of significance
4. State the Test Statistic
5. Perform Calculations
6. Statistical Conclusion
7. Experimental Conclusion
Problem 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.
1. State the Null Hypothesis
2. State the Alternatice Hypothesis
3. State the Level of significance
4. State the Test Statistic
5. Perform Calculations
6. Statistical Conclusion
7. Experimental Conclusion