A simple random sample of size n=18 is obtained from a population of student heights that is normally distributed with a mean of 68.9 inches and a standard deviation of 4.6 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.

A simple random sample of size n=18 is obtained from a population of student heights that is normally distributed with a mean of 68.9 inches and a standard deviation of 4.6 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.

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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Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following is true? The dispersions of the distributions are different. The dispersions of the distributions are the same. The distributions are from two different families of distributions. The locations of the distributions are different.
There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using %3D V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.
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