Suppose that the number of movies viewed in the last year by high school students has an average of 19.3 with a standard deviation of 15.8. Suppose we take an SRS of 100 high school students. Formulas: a) Verify conditions of the sample mean number of movies viewed is being normally distributed. ["", "", "", ""] b) The mean of the sample mean number of movies viewed is ["", "", "", ""] and the standard deviation for the sample mean is ["", "", "", ""] . c) The probability that the sample mean number of movies viewed is less than 21 is ["", "", "", ""]

Suppose that the number of movies viewed in the last year by high school students has an average of 19.3 with a standard deviation of 15.8. Suppose we take an SRS of 100 high school students. Formulas: a) Verify conditions of the sample mean number of movies viewed is being normally distributed. ["", "", "", ""] b) The mean of the sample mean number of movies viewed is ["", "", "", ""] and the standard deviation for the sample mean is ["", "", "", ""] . c) The probability that the sample mean number of movies viewed is less than 21 is ["", "", "", ""]

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

Suppose that the number of movies viewed in the last year by high school students has an average of 19.3 with a standard deviation of 15.8. Suppose we take an SRS of 100 high school students.

Formulas:

a) Verify conditions of the sample mean number of movies viewed is being normally distributed. ["", "", "", ""]

b) The mean of the sample mean number of movies viewed is ["", "", "", ""] and the standard deviation for the sample mean is ["", "", "", ""] .

c) The probability that the sample mean number of movies viewed is less than 21 is ["", "", "", ""]

d) The sample mean considered in the top 10 percent of number of movies viewed is approximately ["", "", "", ""] .

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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