The students in a certain high school have an average height of 160 cm with a standard deviation of 12 cm. Random samples of size 50 will be taken. a.) What is the mean of the sampling distribution of the sample means? b.) What is the standard deviation of the sampling distribution of the sample means? c.) What is the distribution of the sampling distribution of the sample means? T-Distribution or Bell-Shaped Distribution d.) What percentage of the random samples will have a sample mean greater than 165 cm? e.) What percentage of the random sample mean will have a sample mean within 2 cm of the population mean?     Thankyou!

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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The students in a certain high school have an average height of 160 cm with a standard deviation of 12 cm. Random samples of size 50 will be taken.

a.) What is the mean of the sampling distribution of the sample means?

b.) What is the standard deviation of the sampling distribution of the sample means?

c.) What is the distribution of the sampling distribution of the sample means? T-Distribution or Bell-Shaped Distribution

d.) What percentage of the random samples will have a sample mean greater than 165 cm?

e.) What percentage of the random sample mean will have a sample mean within 2 cm of the population mean?

 

 

Thankyou!

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