STA 2023    Practice Test 3                                      

For all problems, round calculated values to the same number of places as the critical value from the table.

For confidence intervals, answers should be in algebraic “between” form.

Make sure you designate whether the claim is Ho or Ha !!

 

1) (9 points) For the population of male college students, m = 69.0 inches and  inches. A random sample of 50 male students had = 69.6 inches. Test the claim that the mean is 69 with a = .05.

 

DRAW IT!!                                                    Ho :

 


                                                                        Ha :

 

                                                                        One-tail or two-tail?

 

                                                                        Test screen

 


                                                                        Critical value

 

                                                                        Calculated value

 

                                                                        Decision (Reject Ho or Fail to reject Ho?)

 

 

 


Conclusion statement:

 

 

 

 

 

 

 


2) (4 points) Find the 90% confidence interval for the population mean for #1. (round values to the nearest tenth).

 

                                                                        Screen:

 


                                                                        Conf. Int.

 

 

 

 

 

 

3) (10 points) Sample statistics for  = 24 are  = 2.35 and  = 0.7. With a = .05, test the claim that the mean GPA is greater than 2.0.

 

DRAW IT!!                                                    Ho :

 

                                                                        Ha :

 

                                                                        One-tail or two-tail?

 

                                                                        Degrees of freedom:

 

Critical value:

 

                                                                        Screen:

 

Calculated value:

 

                                                                        Decision:

 

Conclusion statement:

 

 

 

 

 

 

4) (4 points) Find the 90% confidence interval for the population mean for #3 (to the nearest thousandth.)

 

                                                                        Screen

 

                                                                        Conf. Int.

 

 

 

5) (9 points) Test the claim that the two samples come from populations with the same mean. Use a = .05.

 

Math majors:    = 75,    = 15

English majors:  = 23,    = 70,    = 14

 

DRAW IT!!                                                    Ho :

 


                                                                        Ha :

 


                                                                        One-tail or two-tail?

 


                                                                        p-value:

 


                                                                        Screen:

 


Calculated value:

 


                                                                        Decision:

 

Conclusion statement

 

 

 

 

 

 

 


6) (4 points)  Find the 90% confidence interval for the difference between the means for #5. ( round to the tenths place.)

 

                                                                        Screen:            

           

                                                                        Conf. Int.:                                                                    

                                                                         

 

 

7) (9 points)  Use a = .01 to test the claim that the two proportions are equal.

 

            Faculty                       

 

            Students                   

 

DRAW IT!!                                                    Ho :

 


                                                                        Ha :

 


                                                                        One-tail or two-tail?

 


                                                                        Screen:

 

p-value:

 


                                                                        Calculated value:

 


                                                                        Decision:

 

Conclusion statement

 

 

 

 

 

 

 

 


8)(4 points) Find the 98% confidence interval for the difference between the population proportions for #7 (round to the hundredths place)

 

                                                                        Screen:

 


                                                                        Conf. Int.