(b) What is the probability the sample mean will be within $100 of the population meen? (Round your answer to four decimal places)(c) What is the probability the sample mean will be greater than 817.4007 (Round your answer to four decimal places)If the survey research firm reports a sample mean greater than $12,400, would you question whether the firm followed correct sampling procedures? Why or why not?Yes, because $12,400 is not within $100 of the population meanO No, because $12,400 is within one standard deviation of $10,348OYes, because the probability that the sample mean will be greater than $12,400 is very smalO No, because the probability that the sample mean wibbe greater than $12,400 is very largeNeed Help?Not You may need to use the appropriate technology to answer this question.Suppose data made available through a health system tracker showed health expenditures were $10,349 per person in the United States. Use $10,348 as the population mean and suppose a surveyresearch firm will take a sample of 100 people to investigate the nature of their health expenditures. Assume the population standard deviation is $2,500(a) Show the sampling distribution of the mean amount of health care expenditures in dollars for a sample of 100 people230534802503002307048 10348 12848 15348LA-500-250@O9048 10098 10348 10598 10545250X

Given Population mean, μ=10348 Population standard deviation=2500 Sample size, n=100

Answered: You may need to use the appropriate…

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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