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...


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

Extracted text: 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% significance 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 conclusion in (a)? you about your c) What is the probability that this test fails to reject H, even though the true mean amount of sugar is 11.5 g?

Jun 04, 2022
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