Hypothesis Testing
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 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
Alternative Hypothesis
State the
Level of significance
State the
Test Statistic
Perform
Calculations
Statistical
Conclusion
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.
State the
Null Hypothesis
State the
Alternatice Hypothesis
State the
Level of significance
State the
Test Statistic
Perform
Calculations
Statistical
Conclusion
Experimental
Conclusion
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
