Answered: A random variable is not normally…

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

See similar textbooks

Related questions

Question

A random variable is not normally distributed, but it is mound shaped. It has a mean of 18 and a standard deviation of 2.

If you take a sample of size 12, can you say what the shape of the sampling distribution for the sample mean is? Why?

If the sample size is 12, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30.
If the sample size is 12, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30.
If the sample size is 12, then you can say the sampling distribution of the sample mean is normally distributed since the sample size is less than 30.

For a sample of size 12, 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 =

If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? Why?

If the sample size is 36, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30.
If the sample size is 36, then you can say the sampling distribution of the sample mean is normally distributed since the sample size is greater than 30.
If the sample size is 36, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30.

For a sample of size 36, 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 =

Expert Solution