Answered: Define the null hypothesis in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn column of Parade magazine. Source: Parade magazine. You discover two booths at a carnival. Each is tended by an honest man with a pair of covered coin shakers. In each shaker is a single coin, and you are allowed to bet upon the chance that both coins in that booths shakers are heads after the man in the booth shakes them, does an inspection, and can tell you that at least one of the shakers contains a head. The difference is that the man in the first booth always looks inside both of his shakers, whereas the man in the second booth looks inside only one of the shakers. Where will you stand the best chance?
A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.
3. According to an NDP Group report, the mean number of meals prepared and eaten at home is 700 per year. Suppose that a random sample of 36 households showed a sample mean number of meals prepared and eaten at home was 690. Assume o = 40. Test whether the population mean number of such meals is less than 700 using a significance level of 0.01.

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Define the null hypothesis in mathematical terms and in words Define the alternative hypothesis in mathematical terms and in words Should the null hypothesis be rejected? Why or why not?