The median ACT scores for four-year colleges to follow normal distribution with a mean of 24 points and a standard deviation of 4. We look at the distribution of means of the MidACT variable for samples of 150 colleges at a time. a) using the normal distribution for MidACT, what proportion of colleges should have MidACT of 26 or higher? b) what proportion of samples of 100 colleges would give a sample mean of MidACT of 26 or higher? c) would the results of part a and part b still be appropriate if the distribution of

The median ACT scores for four-year colleges to follow normal distribution with a mean of 24 points and a standard deviation of 4. We look at the distribution of means of the MidACT variable for samples of 150 colleges at a time. a) using the normal distribution for MidACT, what proportion of colleges should have MidACT of 26 or higher? b) what proportion of samples of 100 colleges would give a sample mean of MidACT of 26 or higher? c) would the results of part a and part b still be appropriate if the distribution of

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

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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