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, and suppose, for now, that the population standard deviation is known to be 18.    Construct a 98% confidence interval for the population mean of final exam scores, rounding your answers to two decimal points, and inputting your response in the space next to the appropriate letter.  The 98% confidence interval has a lower value of  The 98% confidence interval has an upper value of  To guarantee a margin of error of 5 points in a 98% confidence interval, we would need a sample size of

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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, and suppose, for now, that the population standard deviation is known to be 18.   

  1. Construct a 98% confidence interval for the population mean of final exam scores, rounding your answers to two decimal points, and inputting your response in the space next to the appropriate letter. 
    1. The 98% confidence interval has a lower value of 
    2. The 98% confidence interval has an upper value of 
    3. To guarantee a margin of error of 5 points in a 98% confidence interval, we would need a sample size of 
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman