Use the following information to answer questions 1, 2, and 3. 1. Suppose that x has a normal distribution with a mean of 20 and a standard deviation of 3. Random samples of size 36 are drawn. What is the probability that the next time x is measured that it will have a value less than 16? 2.What is the probability that the next sample taken will have an average value greater than 20.5? 3.What is the probability that the next sample taken will have an average value less than 17?

Use the following information to answer questions 1, 2, and 3. 1. Suppose that x has a normal distribution with a mean of 20 and a standard deviation of 3. Random samples of size 36 are drawn. What is the probability that the next time x is measured that it will have a value less than 16? 2.What is the probability that the next sample taken will have an average value greater than 20.5? 3.What is the probability that the next sample taken will have an average value less than 17?

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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Use the following information to answer questions 1, 2, and 3.

1. Suppose that x has a normal distribution with a mean of 20 and a standard deviation of 3. Random samples of size 36 are drawn. What is the probability that the next time x is measured that it will have a value less than 16?

2.What is the probability that the next sample taken will have an average value greater than 20.5?

3.What is the probability that the next sample taken will have an average value less than 17?

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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