2 Sample T test

A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his classes. After collecting data from a random sample of his students, the professor tested the hypothesis H₀: μ_M = μ_W against the alternative H_A: μ_M ≠ μ_W. The P-value for the test was 0.003. Which is true?

• It is very unlikely that the professor would see results like these if the mean age of men was equal to the mean age of women.

• There is a 0.3% chance that the mean ages for the men and women are equal.

• There is a 99.7% chance that another sample will give these same results.

• There is a 0.3% chance that another sample will give these same results.

• There is a 0.3% chance that the mean ages for the men and women are different.

The null and alternative hypothesis can be the same.

• Yes

• No

• Maybe

• All the above

What is the purpose of a t-test?

• To determine if there is a statistically significant difference between the means of two groups or conditions

• To analyze categorical data

• To perform regression analysis

• To calculate the median of a dataset

• Reject Ho, there is a significant difference

• Fail to reject Ho, there is NOT a significant difference

• Reject Ho, there is NOT a significant difference

• Accept Ho, there is a significant difference

What does a p-value less than 0.05 indicate in hypothesis testing?

• There is a significant difference

• There is no significant difference

• The null hypothesis is true

• The sample size is too small

Which of the following is an example of an alternative hypothesis (H1)?

Which value about a distribution is NOT needed to conduct a t-test?

• Mean

• Maximum value

• Standard deviation

• Number of observations

For the 2-sample t-test in this course pooled data should be set to Yes

• True

• False

In a 2-sample t-test, HO is

When we calculate the p-value we assume

• n1 = n2

• H0 is true

• H0 is false