Hypothesis Testing and t-Tests

The video tutorial demonstrates how to conduct a hypothesis test about a mean when the population standard deviation is unknown, using a t-test. It uses an example of testing whether the mean weight of tomatoes this year differs from last year. The tutorial explains setting up null and alternate hypotheses, using a TI calculator for calculations, interpreting results, and considering different test setups. It emphasizes the importance of correct test setup and discusses using critical values for conclusion.

What type of test is used when the population standard deviation is unknown?

• F-test

• Z-test

• Chi-square test

• T-test

In the example, what is the average weight of tomatoes from last year?

• 8.7 ounces

• 11.5 ounces

• 10.3 ounces

• 9.8 ounces

What is the sample size of tomatoes used in the farmer's test?

• 20

• 40

• 50

• 30

What is the main purpose of using a t-test in the farmer's example?

• To calculate the standard deviation

• To find the average weight of tomatoes

• To determine if the mean weight is different from last year

• To compare two different fertilizers

What is the null hypothesis in the farmer's example?

• The mean weight this year is greater than last year.

• The mean weight this year is less than last year.

• The mean weight this year is different from last year.

• The mean weight this year is equal to last year.

What is the alternate hypothesis in the farmer's example?

• The mean weight this year is greater than last year.

• The mean weight this year is different from last year.

• The mean weight this year is less than last year.

• The mean weight this year is equal to last year.

What is the role of the alternate hypothesis in hypothesis testing?

• It is the hypothesis that is tested against the null hypothesis

• It is the hypothesis that is always accepted

• It is the hypothesis that is always rejected

• It is the hypothesis that is never tested

What is the role of the null hypothesis in hypothesis testing?

• It is the hypothesis that is always accepted

• It is the hypothesis that is tested against the alternate hypothesis

• It is the hypothesis that is never tested

• It is the hypothesis that is always rejected

Which function on the TI calculator is used for the t-test?

• Z-Test

• T-Test

• ANOVA

• Chi-Square

What is the significance level used in the farmer's test?

• 0.01

• 0.10

• 0.05

• 0.001