A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm. Create a 95% confidence interval for the true mean test score based on this sample and describe the possible

ENGR.ECONOMIC ANALYSIS
14th Edition
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test
statistic, or P-value as appropriate, and state the final conclusion that addresses the original claim.
A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05
significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.
Create a 95% confidence interval for the true mean test score based on this sample and describe the possible Type I and II errors for this scenario.

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