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Need Help with Minitab. 1. The following data are taken from four different populations. Sample 1 Sample 2 Sample 3 Sample 4 110 138 98

Need Help with Minitab.

1. The following data are taken from four different populations.

Sample 1 Sample 2 Sample 3 Sample 4
110 138 98 130
85 140 100 116
83 130 94 157
95 115 110 137
103 101 104 144
105 130 118 124
107 123 102

Test the hypothesis that each sample comes from a population with the same mean at the =0.05 level of significance by doing the following steps:

  • State the null and the alternative hypotheses.
  • Verify that the requirements to use the one-way ANOVA procedure are satisfied. Then test the hypotheses in part a. Put down your decision and conclusion for this test.
  • If you rejected the null in part b, use Tukey's test to determine which pairwise means differ using a familywise error rate of =0.05.
  • Draw boxplots of each set of sample data to support your results from part a and b.

2. A researcher wants to determine the effect that smoking has on resting heart rate. She randomly selects seven individuals from three categories: 1) nonsmokers, 2) light smokers (fewer than 10 cigarette per day) 3) heavy smokers (10 or more cigarettes per day) and obtains the following heart rate data (beats per minute):

Nonsmokers Light Smokers Heavy Smokers
70 67 79
58 75 80
51 65 77
56 78 77
53 62 86
53 70 68
65 73 83
  • Test the null hypothesis that the mean resting heart rate for each category is the same at the =0.05 level of significance. Note: the requirements for a one-way ANOVA are satisfied.
  • If the null hypothesis is rejected in part a, use Tukey's test to determine which pairwise means differ using a familywise error rate of =0.05.
  • Draw boxplots of the three treatment levels to support the results obtained in parts a and b.

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