1. A coffee machine dispenses coffee into paper cups. On average, 12 ounces of coffee should be dispensed into eachcup. However, in a random sample of 35 cups, the mean amount of coffee dispensed was 10.05, with a sample standard deviation of 0.05. Assuming the distribution of ounces of coffee dispensed is Normal, is there evidence that this coffee machine is under-filling cups? Use a 5% level of significance.

1. State the null and alternative hypotheses

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1. What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.
2. Run the calculator test and obtain the P-value.
3. Based on your P-value, will you reject or fail to reject the null hypothesis?
4. Interpret your conclusion from part d in the context of this problem.

2. In the December 2002 issue of Consumer Reports, Consumers Union reported on their investigation of the presence of bacteria in packages of chicken sold in supermarkets. They randomly selected both name brand (Perdue) and store-brand chicken in several different U.S. cities. Laboratory tests found campylobacter contamination in 25 of the 75 Perdue packages, and in 34 of the 75 store brand packages. Does this indicate that there is a statistically significant difference (either way) in the amount of contamination in the two brands? Use a 10% level of significance.

a) State the null and alternative hypotheses

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• ?: 1

b) What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.

c) Run the calculator test and obtain the P-value.

d)Based on your P-value, will you reject or fail to reject the null hypothesis?

e)Interpret your conclusion from part d in the context of this problem.

3. One indicator of physical fitness is resting pulse rate. Ten men were randomly selected to test an exercise device advertised on television by using it 3 times a week for 20 minutes. Their resting pulse rates (beats per minute) were measured before the test began, and then again after 6 weeks. Results are shown in the table below. Assuming differences are Normally distributed, is there evidence that this kind of exercise can reduce resting pulse rates? Use a 5% level of significance. Subject Pulse rate before (bpm) Pulse rate after (bpm) Allen 75 70 Brandon 83 81 Carlos 86 84 David 88 89 Edwin 91 87 Franco 96 94 Graeme 87 84 Hans 85 83 Ivan 83 84 Jorge 79 76 a. (2 points) State the null and alternative hypotheses Ho: b. (2 points) What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem. c. (2 points) Run the calculator test and obtain the P-value. d. (2 points) Based on your P-value, will you reject or fail to reject the null hypothesis? e. (2 points) Interpret your conclusion from part d in the context of this