Answered: Which of the following statements 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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Consider the sampling distribution of the proportion of athletes that graduate for samples of size 40 assuming that the long term graduation rate has not changed and is still 0.60.

Which of the following statements is correct for the sampling distribution of the proportion for samples of size is 40.

Group of answer choices

a) Since the sample size is greater than 30 we can assume that sampling distribution of the proportion will be normally distributed.

b) Since n×p=40×0.60=24andn×(1−p)=40×0.4=16 are both greater than 10 then we can assume that the sampling distribution of the proportion will be normally distributed.

c) Since n×(1−p)=16 is less than 30 then we cannot assume that the sampling distribution of the proportion will be normally distributed.

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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