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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 25PFA

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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).

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