Homework_3_V_2011

# A formulate the hypotheses that could be used to

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whether they believed that supermarket ketchup was as good as the national brand ketchup. a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%. b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value? c. At a = .05, what is your conclusion? d. Should the national brand ketchup manufacturer be pleased with this conclusion? 8. The Motor Trend New Car Buyer’s Guide listed the Ford Taurus as having a highway fuel efficiency of 30 miles per gallon. A consumer interest group conducts automobile mileage tests seeking statistical evidence to identify instances where automobile manufacturers overstate the miles-per-gallon rating for a particular model. a. State the hypotheses that would enable the consumer interest group to conclude that the Ford Taurus fuel efficiency is less than the published 30 miles per gallon.

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b. A sample of 25 mileage tests with the Ford Taurus showed a sample mean of 29.6 miles per gallon and a sample standard deviation of 1.8 miles per gallon. What is the p -value? c. What conclusion should be drawn from the sample results? Use a = .01. Repeat the preceding hypothesis test using the critical value approach
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