The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size of 50, calculate the mean and standard deviation of the mean of the samples. b. Figure out how likely it is that the mean of a sample size of 50 will be more than 570

The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size of 50, calculate the mean and standard deviation of the mean of the samples. b. Figure out how likely it is that the mean of a sample size of 50 will be more than 570

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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Question

The mean and standard deviation of a population are 555 and 40, respectively.

a. For a sample size of 50, calculate the mean and standard deviation of the mean of the samples.
b. Figure out how likely it is that the mean of a sample size of 50 will be more than 570.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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