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, using 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 parts 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 cigarettes 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, using 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.