random variable is normally distributed. It has a mean of 241 and a standard deviation of 17. For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. μx̄ = σx̄ =

random variable is normally distributed. It has a mean of 241 and a standard deviation of 17. For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. μx̄ = σx̄ =

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

A random variable is normally distributed. It has a mean of 241 and a standard deviation of 17.

For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μ_x̄ =
σ_x̄ =

For a sample of size 10, find the probability that the sample mean is more than 238.
P(x̄ > 238) =

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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