Suppose a and n remain fixed when testing H₀: m > 815 versus H₁: m < 815 with a large sample.

    1. What is the symbol for the test statistic (I am not looking for a numeric value)?
 

You find that s is larger than you first anticipated.

    2. What does this new finding tell you about the population?

    3. What does your answer to #2 imply about our ability to correctly guess
        whether H₀ is true or false?
 

When performing hypothesis tests, we only want to reject H₀, when we obtain overwhelming evidence that H₀ is false.

    4. Given this statement of the philosophy of hypothesis testing and your answer to
        #3, will the rejection region increase or decrease because of the larger s?
 

The critical value is 2.33 for the hypotheses: H₀: m  <  9020   &   H₁: m > 9020. The test statistic is 2.67. Both the critical value and the test statistic are expressed as Z values.

    5. What is the decision for this test?
 

The critical value is -2.33 for the hypotheses: H₀: p > 0.92 & H₁: p < 0.92. The test statistic is -2.07. Both the critical value and the test statistic are expressed as Z values.

    6. What is the decision for this test?

    7. Write the hypotheses (H₀ and H₁) that the Cracker Jacks manufacturer would
        use if they want to demonstrate that the average number of peanuts in each
        box is greater than twelve.

        H₀: _________                            H₁:____________

    8. Write the hypotheses (H₀ and H₁) that a consumer group would use if they want
        to demonstrate that M&M/Mars Company's claim that twenty percent of all M&M
        Peanuts are orange is a false claim.

        H₀:____________                       H₁:___________
 
 
 

Return to Worksheet Menu
Return to Statistics Home Page
Return to Jarrell Home Page