Deck 8: Standard Error of the Mean

Question 1

Which of the following is NOT true about the central limit theorem?

A) In order for the sample means to create a normal distribution the data in each sample also needs to be normally distributed
B) As the sample size increases the more the sample means create a normal distribution shape
C) The mean of the sample means becomes the true population mean
D) The standard deviation of the sample means is called the standard error of the mean

Answer 1

A

Question 2

Suppose a researcher found that m = 30 and SE_{M =} 2. Find the 68% confidence interval of the mean.

Answer 2

68%= 28-32

Question 3

The standard error of the mean is a type of standard deviation.

Answer 3

True

Question 4

it is more common to report 95% or 99% confidence interval than 68% confidence interval.

Question 5

In an example where the 95% confidence interval is 73.61 and 76.39, which of the following is NOT true?

A) We are 95% confident that the true mean lies between the values
B) We are absolutely certain of the value of the true population mean
C) We have a high confidence level in accurately estimating the population mean
D) Confidence intervals are valid only when the means are obtained with random sampling

Question 6

What is a point estimate of the mean?

A) A single value as an estimate of a population mean based on a sample
B) An interval estimate of the mean
C) An interval estimate based on 68% confidence interval for a mean
D) An interval estimate based on 99% confidence interval for a mean

Question 7

With regards to the computation of the standard error of the mean, what is an important factor in minimizing the confidence interval?

A) a small sample size
B) a large sample size
C) a random sample