1) The sugar content in a one-cup serving of a certain breakfast cereal is claimed to be 11 g. Totest this claim, the sugar content was measured over a sample of 40 servings. The sample meanwas 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 above11 g?b) What is the (approximate) p-value for this test? What does this p-value tellconclusion in (a)?youaboutyourc) What is the probability that this test fails to reject H, even though the true mean amountof sugar is 11.5 g?

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Answered: 1) The sugar content in a one-cup…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A FOOD PROCESSOR WANTS TO COMPARE TWO PRESERVATIVES FOR THEIR EFFECTS ON RETARDING SPOILAGE. SUPPOSE 16 CUTS OF FRESH MEAT ARE TREATED WITH PRESERVATIVE A AND 16 ARE TREATED WITH PRESERVATIVE B, AND THE NUMBER OF HOURS UNTIL SPOILAGE BEGINS IS RECORDED FOR EACH OF THE 32 CUTS OF MEAT. THE RESULTS ARE SUMMARIZED IN THE TABLE BELOW 4.1 4.2 4.3 Sample Mean Sample Standard Deviation Preservative A 108.7 hours t: 10.5 hours Preservative B 98.7 hours 13.6 hours State the null and alternative hypotheses to determine if the average number of hours until spoilage begins differs for the preservatives A and B. Assume population variances are equal. Calculate the pooled variance and the value of the test statistic. Determine the rejection region at a= .05 and write the proper conclusion. Rejection region: Decision: Conclusion:
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