To interpret his finding, he needs to calculate the probability that a sample of 25 graduates would have a mean of $750 or less when the population mean is $800 and the standard deviation is $100. After finding the probability, he concludes that      Dean's claim is correct because the chance of getting 770 or below is 50%      Dean's claim is correct because the chance of getting 750 or below is 15.XX%      Dean's claim is correct because the chance of getting 800 or below is 93.XX%      Dean's claim is incorrect because the chance of getting 770 or above is 50%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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  1. In the advertisements for a large university, the dean of the School of Business claims that the average salary of the school’s graduates one year after graduation is $770 per week with a standard deviation of $100.

    A second-year student in the business school who has just completed his statistics course would like to check whether the claim about the mean is correct.

    He does a survey of 25 people who graduated one year ago and determines their weekly salary.

    He discovers the sample mean to be $750.

    To interpret his finding, he needs to calculate the probability that a sample of 25 graduates would have a mean of $750 or less when the population mean is $800 and the standard deviation is $100.

    After finding the probability, he concludes that 

       

    Dean's claim is correct because the chance of getting 770 or below is 50% 

       

    Dean's claim is correct because the chance of getting 750 or below is 15.XX% 

       

    Dean's claim is correct because the chance of getting 800 or below is 93.XX% 

       

    Dean's claim is incorrect because the chance of getting 770 or above is 50% 

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