Understanding Dependent Samples T-Test

What is the primary purpose of a dependent samples t-test?

• To determine if the means of two dependent samples differ significantly

• To analyze the variance within a single group

• To test the correlation between two variables

• To compare the means of two independent groups

In a dependent samples t-test, what does the null hypothesis typically state?

• There is no significant difference between the means of the two dependent groups

• One group has a larger mean than the other

• The means of the two groups are equal

• There is a significant difference between the means of the two groups

What is an example of a dependent sample scenario?

• Surveying customer satisfaction from two unrelated stores

• Comparing test scores of students from two different schools

• Measuring stress levels of different people before and after a vacation

• Analyzing sales data from two separate companies

In the diet program example, what is the main variable of interest?

• The number of participants

• The weight difference before and after the diet

• The type of diet program

• The duration of the diet program

How is the t-value calculated in a dependent samples t-test?

• By adding the mean difference to the standard deviation

• By subtracting the mean from the critical value

• By dividing the mean difference by the standard deviation

• By dividing the mean difference by the standard error of the mean

What does a critical t-value help determine?

• The standard deviation of the sample

• The mean difference between two samples

• Whether the null hypothesis should be rejected

• The significance level of the test

Which assumption is necessary for a dependent samples t-test?

• The sample size must be greater than 30

• The differences between paired values must be normally distributed

• The variables must be non-metric

• The samples must be independent

What is a metric variable example in the context of a t-test?

• A person's educational attainment

• A person's hometown

• A person's favorite color

• A person's salary

How can you calculate a dependent samples t-test online?

• By using a text editor

• By using a word processor

• By using a statistics calculator like Data Tab

• By using a spreadsheet software

What does a p-value greater than 0.05 indicate in a t-test?

• The test is inconclusive

• The null hypothesis is retained

• The alternative hypothesis is accepted

• The null hypothesis is rejected