A random variable X is normally distributed. It has a mean of 270 and a standard deviation of 31. For a sample of size 21, the mean is 270 and the standard deviation is 6.76. 1. Find the probability of getting a sample mean greater than 277.85 when taking a sample of size 21 from this population.

A random variable X is normally distributed. It has a mean of 270 and a standard deviation of 31. For a sample of size 21, the mean is 270 and the standard deviation is 6.76. 1. Find the probability of getting a sample mean greater than 277.85 when taking a sample of size 21 from this population.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A random variable X is normally distributed. It has a mean of 270 and a standard deviation of 31.

For a sample of size 21, the mean is 270 and the standard deviation is 6.76.

1. Find the probability of getting a sample mean greater than 277.85 when taking a sample of size 21 from this population.

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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