1. A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sample distribution of the sample means by computing its mean and standard deviation. 2. The heights of male college students are normally distributed with mean of 68 inches and a standard deviation of 3 inches. If 80 samples consisting of 25 students each are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the means?

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
icon
Related questions
Question

Describing the sampling distribution of the sample means from an infinite population. The best way to solve this is to use the CENTRAL LIMIT THEOREM.

1. A population has a mean of 60 and a standard deviation of 5. A
random sample of 16 measurements is drawn from this population.
Describe the sample distribution of the sample means by computing its
mean and standard deviation.
2. The heights of male college students are normally distributed with
mean of 68 inches and a standard deviation of 3 inches. If 80 samples
consisting of 25 students each are drawn from the population, what
would be the expected mean and standard deviation of the resulting
sampling distribution of the means?
Transcribed Image Text:1. A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sample distribution of the sample means by computing its mean and standard deviation. 2. The heights of male college students are normally distributed with mean of 68 inches and a standard deviation of 3 inches. If 80 samples consisting of 25 students each are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the means?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill