1) The sugar content in a one-cup serving of a certain breakfast cereal is claimed to be 11 g. To test this claim, the sugar content was measured over a sample of 40 servings. The sample mean was 11.4 g and the sample standard deviation was 1.1 g.a)Can you say, at a 5% significane level, that the sugar content per serving is actually above 11 g?b) What is the (approximate) p-value for this test? What does this p-value tell you about your conclusion in (a)?c) What is the probability that this test fails to reject Ho even though the true mean amount of sugar is 11.5 g?

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Answered: a)Can you say, at a 5% significane…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1) The sugar content in a one-cup serving of a certain breakfast cereal is claimed to be 11 g. To test this claim, the sugar content was measured over a sample of 40 servings. The sample mean was 11.4 g and the sample standard deviation was 1.1 g.
1. a)Can you say, at a 5% significane level, that the sugar content per serving is actually above 11 g?
2. b) What is the (approximate) p-value for this test? What does this p-value tell you about your conclusion in (a)?
3. c) What is the probability that this test fails to reject Ho even though the true mean amount of sugar is 11.5 g?

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