A simple random sample of size n=16 is obtained from a population of student heights that is normally distributed with a mean of 69.8 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.

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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 69.8 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.
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 69.8 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.
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