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A coin operated soda machine was designed to discharge an average of 7 ounces of soda per cup. In a test of the machine, 30

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A coin operated soda machine was designed to discharge an average of 7 ounces of soda per cup. In a test of the machine, 30 cups of beverage were drawn from the machine and measured. The mean and standard deviation of the measurements were 7.1 ounces and 0.12 ounce, respectively. 1. Do these data present sufficient evidence to indicate that the mean dis- charge differs from 7 ounces? Use a = 0.10. If you use a formula for this problem, please verify every condition needed for it. (20 points) 2. What is the p-value? Write your answer in terms of the c.d.f of normal distribution. You do not need to calculate the number. (5 points) (Some quantiles you may need: 20.25 = 1.96, zo.05 = 1.64, 20.1 = 1.28)

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