The mean and standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is greater than 31. 2) The mean and the standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is less than 29.

The mean and standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is greater than 31. 2) The mean and the standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is less than 29.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

1) The mean and standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is greater than 31.

2) The mean and the standard deviation of a normally distributed population is 30.5 and 5.0, respectively. Find the probability that the mean of a sample of size 25 drawn from this population is less than 29.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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