Assume that weights of adult females are normally distributed with a mean of 80 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights less than 77 kg? If samples of 49 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are less than 77 kg?

Assume that weights of adult females are normally distributed with a mean of 80 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights less than 77 kg? If samples of 49 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are less than 77 kg?

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

Assume that weights of adult females are normally distributed with a mean of

kg and a standard deviation of

kg. What percentage of individual adult females have weights less than

kg? If samples of

adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are less than

kg?

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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