Question

8) An instructor claims that the mean score for all students in a statistics course is greater than 76. A current class of 46 students has a mean score of 76.2 and a standard deviation of 11.9. Use this data to test the instructor’s claim at the 0.025 level of significance.

The symbols below can be copied and pasted for answers to some of the following questions.

                             µ   p   ≥   ≤   ≠   >   < =    H₀:     H_a:   

A] What type of test is this?         ➔       

a. beta-test of means               c. t-test of means           e. c² Test of proportions

b. a-Test of proportions           d. F-Test of means         f. t-Test of proportions

B] What is the stated claim (include the numerical value associated with the claim). Type in a sentence using words not symbols.

➔                                                                      

C] What is the stated claim, in symbols? Do not type in a sentence. Type in (or copy and paste) mathematical symbols.        

        

➔                                                                    

D] What are H₀ (the null hypothesis) and H_a (the alternative hypothesis) in symbols? (PROVIDE TWO ANSWERS) Type in or copy and paste from top of the page.  

Alternative hypothesis:         ➔                

                            

Null hypothesis:                   ➔                   

E] What type of tails does this test have?

a. Fat tailed          c. Meta-tailed                                e. Two tailed        

b. Right tailed      d. Inverse tailed             f. Left tailed

F] What is the numerical value of the test statistic (TS) calculated from the observed data (three decimal points)?

➔       

G] Provide EITHER the Critical Value (CV) OR the p-value

Critical Value (CV):     ➔       

P-value:        ➔       

Answer 1