Use the following data to answer the questions posed below.  This is data taken from a simple random sample of students a class from a large population.  The variables are defined as follows: Student: Student ID. Credits: # of credits earned GPA: Current College GPA Student’s Gender: Male/Female Program:  Program of study Final Exam: Students’ scores on final exam SATM: Students’ SAT math scores The data are as follows student    credits      gpa        gender     program Final Exam   SATM      1 42 3.00 female Business 42.5 410 2 42 3.49 male Business 77.5 440 3 45 3.72 female Business 75.0 390 4 45 3.39 male Business 70.0 550 5 100 3.39 male Arts & Sciences    92.5 560 6 43 3.36 male Arts & Sciences 72.5 600 7 69 2.83 female Business 75.0 460 8 28 2.86 male Arts & Sciences 77.5 520 9 25 3.68 male Arts & Sciences 82.5 600 10 42 1.68 female Business 52.5 540 11 45 2.89 female Business 65.0 440 12 42 3.15 male Business 45.0 550 13 69 3.18 female Business 57.5 480 14 45 3.11 male Business 42.5 590 15 37 2.32 female Arts & Sciences 47.5 440 16 45 2.86 male Business 62.5 590   Now consider the Final Exam variable.  In this sample, the average final exam score is 64.8, but now suppose, more realistically that the population standard deviation is unknown.  The sample standard deviation is 15.5.   A researcher claims that the average final exam score for students across all sections in the class is 75.  Conduct a hypothesis test, with a significance level of 5%, to refute this researcher’s claim.  Please use the critical value approach.  (Note: students should explicitly list and perform the steps in this procedure).

Use the following data to answer the questions posed below.  This is data taken from a simple random sample of students a class from a large population.  The variables are defined as follows:

• Student: Student ID.
• Credits: # of credits earned
• GPA: Current College GPA
• Student’s Gender: Male/Female
• Program:  Program of study
• Final Exam: Students’ scores on final exam
• SATM: Students’ SAT math scores

The data are as follows

Now consider the Final Exam variable.  In this sample, the average final exam score is 64.8, but now suppose, more realistically that the population standard deviation is unknown.  The sample standard deviation is 15.5.  

A researcher claims that the average final exam score for students across all sections in the class is 75.  Conduct a hypothesis test, with a significance level of 5%, to refute this researcher’s claim.  Please use the critical value approach.  (Note: students should explicitly list and perform the steps in this procedure).