The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.1 mm. Suppose that 50 individuals are randomly chosen. Round all answers to 4 where possible. For the group of 50, find the probability that the average hand length is more than 193. ? Find the first quartile for the average adult male hand length for this sample size.?

The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.1 mm. Suppose that 50 individuals are randomly chosen. Round all answers to 4 where possible. For the group of 50, find the probability that the average hand length is more than 193. ? Find the first quartile for the average adult male hand length for this sample size.?

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

The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.1 mm. Suppose that 50 individuals are randomly chosen. Round all answers to 4 where possible.

For the group of 50, find the probability that the average hand length is more than 193. ?
Find the first quartile for the average adult male hand length for this sample size.?

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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