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A random sample is drawn from a population with mean = 66 and standard deviation a=5.5. [You may find it useful to reference the z table.). a. What is the expected value and the standard error of the sampling distribution of the sample mean with n=16 and n= 36. (Round the standard error to 3 decimal places.) n 16 36 Expected Value Standard Error b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n= 16 will have a normal distribution. O No, only the sample mean with n= 36 will have a normal distribution.

A random sample is drawn from a population with mean = 66 and standard deviation a=5.5. [You may find it useful to reference the z table.). a. What is the expected value and the standard error of the sampling distribution of the sample mean with n=16 and n= 36. (Round the standard error to 3 decimal places.) n 16 36 Expected Value Standard Error b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n= 16 will have a normal distribution. O No, only the sample mean with n= 36 will have a normal distribution.

A First Course in Probability (10th Edition)
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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A random sample is drawn from a population with mean = 66 and standard deviation a=5.5. [You may find it useful to reference the z table.). a. What is the expected value and the standard error of the sampling distribution of the sample mean with n=16 and n= 36. (Round the standard error to 3 decimal places.) n 16 36 Expected Value Standard Error b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n= 16 will have a normal distribution. O No, only the sample mean with n= 36 will have a normal distribution.
Transcribed Image Text:A random sample is drawn from a population with mean = 66 and standard deviation a=5.5. [You may find it useful to reference the z table.). a. What is the expected value and the standard error of the sampling distribution of the sample mean with n=16 and n= 36. (Round the standard error to 3 decimal places.) n 16 36 Expected Value Standard Error b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n= 16 will have a normal distribution. O No, only the sample mean with n= 36 will have a normal distribution.
c. If the sampling distribution of the sample mean is normally distributed with n= 16, then calculate the probability that the sample mean falls between 66 and 68. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed. We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 66 and 68 is Probability d. If the sampling distribution of the sample mean is normally distributed with n= 36, then calculate the probability that the sample mean falls between 66 and 68. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed, We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 66 and 68 is Probability 0.4854
Transcribed Image Text:c. If the sampling distribution of the sample mean is normally distributed with n= 16, then calculate the probability that the sample mean falls between 66 and 68. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed. We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 66 and 68 is Probability d. If the sampling distribution of the sample mean is normally distributed with n= 36, then calculate the probability that the sample mean falls between 66 and 68. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed, We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 66 and 68 is Probability 0.4854
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