2. The Fruit Zoot company claims a packet of Apple Zooties contains an average of 12 fruit snacks, but a local pediatrician thinks the true average is different. He takes a random sample of 15 packets and find an average of 10 fruit snacks with a standard deviation of 1.5. Assume the population is normally distributed with an unknown variance. a) Conduct a hypothesis test for the pediatrician's claim. Use the rejection region approach. b) Construct a 95% confidence interval for the true mean number of fruit snacks. Compare this interval to your conclusion to the test in part a.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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2. The Fruit Zoot company claims a packet of Apple Zooties contains an average of 12 fruit
snacks, but a local pediatrician thinks the true average is different. He takes a random sample of
15 packets and find an average of 10 fruit snacks with a standard deviation of 1.5. Assume the
population is normally distributed with an unknown variance.
a) Conduct a hypothesis test for the pediatrician's claim. Use the rejection region approach.
b) Construct a 95% confidence interval for the true mean number of fruit snacks. Compare this
interval to your conclusion to the test in part a.
Transcribed Image Text:2. The Fruit Zoot company claims a packet of Apple Zooties contains an average of 12 fruit snacks, but a local pediatrician thinks the true average is different. He takes a random sample of 15 packets and find an average of 10 fruit snacks with a standard deviation of 1.5. Assume the population is normally distributed with an unknown variance. a) Conduct a hypothesis test for the pediatrician's claim. Use the rejection region approach. b) Construct a 95% confidence interval for the true mean number of fruit snacks. Compare this interval to your conclusion to the test in part a.
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