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Would it be appropriate to use a normal distribution to model the sampling distribution of X?

Would it be appropriate to use a normal distribution to model the sampling distribution of X?

MATLAB: An Introduction with Applications
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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Suppose that 70% of residents in a certain city own at least one pet. You select a random sample of 30 city residents. Let X = the number of residents that own at least one pet. Would it be appropriate to use a normal distribution to model the sampling distribution of X? No, there are at least 10 "successes" expected, but there are not at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X. No, the sample size is greater than 10, so it is not appropriate to use a normal distribution to model the sampling distribution of X. Yes, the sample size is at least 30, so it is appropriate to use a normal dist bution to model the sampling distr ution of X. Yes, there are at least 10 "successes" expected and 10 "failures" expected so it is appropriate to use a normal distribution to model the sampling distribution of X. No, there are not at least 10 "successes" expected, although there are at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X.
Transcribed Image Text:Suppose that 70% of residents in a certain city own at least one pet. You select a random sample of 30 city residents. Let X = the number of residents that own at least one pet. Would it be appropriate to use a normal distribution to model the sampling distribution of X? No, there are at least 10 "successes" expected, but there are not at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X. No, the sample size is greater than 10, so it is not appropriate to use a normal distribution to model the sampling distribution of X. Yes, the sample size is at least 30, so it is appropriate to use a normal dist bution to model the sampling distr ution of X. Yes, there are at least 10 "successes" expected and 10 "failures" expected so it is appropriate to use a normal distribution to model the sampling distribution of X. No, there are not at least 10 "successes" expected, although there are at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X.
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