Barron's reported that the average number of weeks anindividual is unemployed is 18.5 weeks. Assume that for thepopulation of all unemployed individuals the population meanlength of unemployment is 18.5 weeks and that the populationstandard deviation is 4 weeks. Suppose you would like toselect a sample of 45 unemployed individuals for a follow-upstudy.(b) What is the probability that a simple random sample of45 unemployed individuals will provide a sample meanwithin 1 week of the population mean? (Round youranswer to four decimal places.)(c) What is the probability that a simple random sample of45 unemployed individuals will provide a sample mean1within week of the population mean? (Round your2answer to four decimal places.)

Answered: Image /qna-images/answer/dec12e58-715a-4ce2-8193-65b30b42a260.jpg

Answered: Barron's reported that the average…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is the probability of randomly selecting 90 observations from a population whose mean is 100 and whose standard deviation is 15.7 and finding that the mean is between 102 and 105.
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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
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