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[answered] 1. You may use Excel (as written in my instructions) or man


1. You may use Excel (as written in my instructions) or manual calculations as shown in the Lane?s book

To test if the mileage of three different makes of cars is the same, randomly selected trips on those makes are recorded and the data is shown below for the miles per gallon of the trips.

Make 1

Make 2

Make 3

29.9

45.8

34.8

31.1

40.3

41.4

23.5

36.6

40

30.5

29

37.6

35.4

40.3

41.4

33

33

48.1

28.5

35.5

37.2

32.4

34.9

44.1

25.7

31

42

40.3

44.9

Use one way ANOVA to test if the means of the mileage of the all the cars of these make are the same. Assume that the data may be treated as simple random samples.

Show

a. Use Excel or other technology to compute the standard deviations of the three groups and verify that the largest standard deviation is no larger than the smallest standard deviation.

b. Refer to the box plot below.

Are there any extreme outliers in any of the groups?

c. State the F statistic and the P_value and your conclusion at a 5% level of significance.


2. Jamal suspects that his diastolic blood pressure is higher when he is at work than his diastolic blood pressure when he is not at work. He is going to test this statement based on blood pressure readings at randomly selected times in the above two situations.

Here are the data (units in mmHg)

at work

84 84 86 86 87 87 87 88 90 97 99

not at work

77 78 79 79 80 83 84 85 85 89

Refer to the following box plots

a) Why should we not use the two sample t-test in this case?

b) Use the Wilcoxon Rank Sum test with normal approximation to test if the BP readings at work are higher than the readings when not at work. Write the P_value and your conclusion at 5% level of significance.

 


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