3. Applying the central limit theoremSuppose you are a television network executive interested in how a new pilot show, Statistics, will be received by the general U.S. television-viewingpopulation. You hire several market research firms; each recruits a random sample of television viewers and asks them to watch the pilot of Statistics.Each firm then gathers 25 respondents and asks each of them, "On a scale of 1 to 10, where 1 means you'll never watch Statistics again, and 10means you expect to never miss an episode of Statistics, how do you rate Statistics?"Assume that if you asked every member of the general U.S. television-viewing population about the pilot, the mean response would be 4.0 with astandard deviation of 1.7.Each market research firm reports the mean rating of its random sample. Assume each market research firm recruits a different sample, and that youhired exactly enough market research firms such that all possible samples of 25 U.S. television viewers were sampled and their mean ratings reported.Which of the following are true about the sampling distribution of the mean ratings reported to you by the market research firms? Check all that apply.O The central limit theorem does not provide justification to assume that the shape of this particular distribution of mean ratings is normal.O The standard error of the mean ratings is 1.7.O The mean of the distribution of mean ratings is 4.0.O The standard deviation of the distribution of mean ratings is 0.07.If you were really a television network executive, you would not hire multiple market research firms to each recruit a different sample of respondents.Instead, you would likely hire only one market research firm. If this is the case, why should you care about the theoretical distribution of mean ratingsof multiple samples if you are only going to hire one firm and get one sample and one mean from that sample?O To draw conclusions about the population mean using a sample mean, you need to know the theoretical distribution of the possible valuesthe sample mean ratings could have.O You should not care about the possible distribution of mean ratings. You should only care about the mean and perhaps the highest andlowest ratings.O You need to know the theoretical distribution of possible values of the sample mean ratings to know whether the market research firmrecruited the right sample.

Option a) and c) are correct. The central limit theorem does not apply. The mean rating is 4

ation. You hire several market research firms; each recruits a random sample of television vi firm then gathers 25 respondents and asks each of them, "On a scale of 1 to 10, where 1 me s you expect to never miss an episode of Statistics, how do you rate Statistics?" ne that if you asked every member of the general U.S. television-viewing population about th ard deviation of 1.7. market research firm reports the mean rating of its random sample. Assume each market res exactly enough market research firms such that all possible samples of 25 U.S. television vie n of the following are true about the sampling distribution of the mean ratings reported to yor O The central limit theorem does not provide justification to assume that the shape of this

ation. You hire several market research firms; each recruits a random sample of television vi firm then gathers 25 respondents and asks each of them, "On a scale of 1 to 10, where 1 me s you expect to never miss an episode of Statistics, how do you rate Statistics?" ne that if you asked every member of the general U.S. television-viewing population about th ard deviation of 1.7. market research firm reports the mean rating of its random sample. Assume each market res exactly enough market research firms such that all possible samples of 25 U.S. television vie n of the following are true about the sampling distribution of the mean ratings reported to yor O The central limit theorem does not provide justification to assume that the shape of this

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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Just question #2 The chart above will be used to answer it. (:
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