A simple random sample of size n=16 is obtained from a population of student heights that is normally distributed with a mean of 69.2 inches and a standard deviation of 4.1 inches. Is the sampling distribution normally distributed? Why? O Yes, the sampling distribution is normally distributed because the population is normally distributed. O Yes, the sampling distribution is normally distributed because the population mean is greater than 30. O No, the sampling distribution is not normally distributed because the population is not normally distributed. O No, the sampling distribution is not normally distributed because the sample size is less than 30.

MATLAB: An Introduction with Applications
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A simple random sample of size n=16 is obtained from a population of student heights that is
normally distributed with a mean of 69.2 inches and a standard deviation of 4.1 inches. Is the
sampling distribution normally distributed? Why?
Yes, the sampling distribution is normally distributed because the population is normally
distributed.
Yes, the sampling distribution is normally distributed because the population mean is greater
than 30.
O No, the sampling distribution is not normally distributed because the population is not
normally distributed.
No, the sampling distribution is not normally distributed because the sample size is less than
30.
Transcribed Image Text:A simple random sample of size n=16 is obtained from a population of student heights that is normally distributed with a mean of 69.2 inches and a standard deviation of 4.1 inches. Is the sampling distribution normally distributed? Why? Yes, the sampling distribution is normally distributed because the population is normally distributed. Yes, the sampling distribution is normally distributed because the population mean is greater than 30. O No, the sampling distribution is not normally distributed because the population is not normally distributed. No, the sampling distribution is not normally distributed because the sample size is less than 30.
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