The heights of ten-year-old males are normally distributed with a mean of 54.9 inches and a standard deviation of 5.1 inches. If a pediatrician selects a random sample of 60 ten-year-old males from his patient population, what is the probability that the mean height of this sample will be greater than 54 inches? Round your answer to at least three decimal places

The heights of ten-year-old males are normally distributed with a mean of 54.9 inches and a standard deviation of 5.1 inches. If a pediatrician selects a random sample of 60 ten-year-old males from his patient population, what is the probability that the mean height of this sample will be greater than 54 inches? Round your answer to at least three decimal places

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

The heights of ten-year-old males are normally distributed with a mean of 54.9 inches and a standard deviation of 5.1 inches. If a pediatrician selects a random sample of 60 ten-year-old males from his patient population, what is the probability that the mean height of this sample will be greater than 54 inches?

Round your answer to at least three decimal places

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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