Question

1. A ___________ is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter.

population parameter

confidence level

point estimate

confidence interval

standard error of the mean

2. Which of the following best describe the standard error of the mean?

It is the difference between an observed sample mean and the true population mean

It is the statistical interval that provides a level of confidence around an observed mean

It is the level of error that we are willing to accept when making population inferences

It is the average of the means of all possible samples from a population

It is the standard deviation of the sampling distribution of the mean.

3. Which of the following is NOT a true statement?

Like the z distribution, the t distribution is bell shaped, symmetrical, and centers around 0.

The t distribution is flatter and has fatter tails than the z distribution, which makes it more appropriate for the greater sample-to-sample variability in small samples

Like the z distribution, there is only one t distribution.

With sample sizes of 120 or more, the t distribution becomes virtually identical to the z distribution

All of these statements about the t distribution are true

4. What is the first step a researcher takes in hypothesis testing?

Select an appropriate test statistic and sampling distribution

Calculate the appropriate statistic

Make a decision regarding the null hypothesis

State the null and alternative hypothesis

Choose an alpha level

5. Which of the following is NOT an accurate or true statement?

The notation used to denote the null hypothesis is H0

The null hypothesis typically posits no difference, no relationship, or no effect

When conducting statistical tests, we always assume the alternative hypothesis is true in the population

The alternative hypothesis always contradicts the null hypothesis

All of these statement are true

Answer 1

1. A confidence interval is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter.

Confidence interval gives us the interval within which the parameter falls with a certain level of confidence

2. Which of the following best describe the standard error of the mean?

It is the standard deviation of the sampling distribution of the mean.

The standard error of the mean is standard deviation of the mean of the sampling distribution

3. Which of the following is NOT a true statement?

All of these statements about the t distribution are true

All the given statements are true.

4. What is the first step a researcher takes in hypothesis testing?

State the null and alternative hypothesis

The first step in hypothesis testing is stating the null and alternate hypothesis, based on which we calculate the test statistic, p value and then make a decision

5. Which of the following is NOT an accurate or true statement?

When conducting statistical tests, we always assume the alternative hypothesis is true in the population

The above statement is incorrect. Since we assume that the null hypothesis is correct and then with that assumption we try and reject the null hypothesis