Hypothesis Testing Week 3

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