Suppose that a random sample of n 5 was selected from the vineyard properties for sale in Sonoma

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1 . Suppose that a random sample of n 5 was selected from the vineyard properties for sale in Sonoma Coi.may, California, in each of three years. The following data are consistent with summary information on price per acre for disease-resistant grape vineyards in Sonoma County. Carry out an ANOVA to determine whether there is evidence to support the claim that the mean price per acre for vineyard land in Sonoma County was not the same for each of the three years considered. Test at the 0.05 level and at the 0.01 level. 1996: 30000 34000 36000 3800040000 1997: 30000 35000 37000 3800040000 1998: 40000 41000 43000 4400050000

2. The following data on the calcium content of wheat is consistent with summary quantities that appeared in the article “Mineral Contents of Cereal Grains as Affected by Storage and Insect Infestation” (Journal of stored Products Research [ 1 992]). Four different storage times were considered. is there sufficient evidence to conclude that the mean calcium content is not the same for the four different storage times9 Test the appropriate hypotheses at the 0.05 level. Storage Observation Time s O months 58.75 57.94 58.91 56.85 55.21 57.30 I month 58.87 56.43 56.51 57.67 59.75 58.48 2 months 59.13 60.38 58.01 59.95 59.51 60.34 3 months 62.32 58.76 60.03 59.36 59.61 61.95 n

3. Use the data below, showing a summary of highway gas mileage for several observations, to

decide if the average highway gas mileage is the same for midsize cars, SUV’s, and pickup

trucks. Test the appropriate hypotheses at the a = 0.01 level.

Mean SIL Dei’.

Midsize

31

25.8

2.56

SUV’s

31

22.68

3.67

Pickups

14

21.29

2.76

4. To examine the effects of pets and friends in stressful situations, researchers recruited 45  people to participate in an experiment. Fifteen of the subjects were randomly assigned to each of three groups to perform a stressful task alone (control group), with a good friend present, or with their dog present. Each subject’s mean heart rate during the task wasCalls and notifications NO VA Practice Problems

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