The heights of 1000 students are approximately normally distributed with a mean of 174.6 centimeters and a standard deviation of 7.5 centimeters. Suppose 400 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μ= (Type an integer or a decimal. Do not round.)
The heights of 1000 students are approximately normally distributed with a mean of 174.6 centimeters and a standard deviation of 7.5 centimeters. Suppose 400 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μ= (Type an integer or a decimal. Do not round.)
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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![The heights of 1000 students are approximately normally distributed with a mean of 174.6 centimeters and a standard deviation of 7.5 centimeters. Suppose 400 random samples of size 25 are
drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) Determine the mean and standard deviation of the sampling distribution of X.
The mean is μ=
(Type an integer or a decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671be518-f9e6-4df9-9304-33791fefeccb%2F9dbcea36-dd16-4f97-a725-d61bea726501%2F5vi8rgb_processed.png&w=3840&q=75)
Transcribed Image Text:The heights of 1000 students are approximately normally distributed with a mean of 174.6 centimeters and a standard deviation of 7.5 centimeters. Suppose 400 random samples of size 25 are
drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) Determine the mean and standard deviation of the sampling distribution of X.
The mean is μ=
(Type an integer or a decimal. Do not round.)
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