Answered: In the following situations, indicate…

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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In the following situations, indicate whether you’d use the normal distribution, the t distribution, or neither.

a. The population is normally distributed, and you know the population standard deviation.

b. You don’t know the population standard deviation, and the sample size is 35.

c. The sample size is 22, and the population is normally distributed.

d. The sample size is 12, and the population is not normally distributed.

e. The sample size is 45, and you know the population standard deviation.

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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