The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in Table E11-7. Assume that the final averages are jointly normally distributed. TABLE • E11-7 Exam GradesStatistics OR Statistics ORStatistics OR86808681838175817176757069756572711375818485767290927172848094956265979883809093a. Find the regression line relating the statistics final average to the OR final average. Graph thedata.b. Test for significance of regression using a = 0.05.c. Estimate the correlation coefficient.d. Test the hypothesis that p = 0, using a = 0.05.e. Test the hypothesis that p = 0.5, using a = 0.05.f. Construct a 95% confidence interval for the correlation coefficient.

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The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in Table E11-7. Assume that the final averages are jointly normally distributed

The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in Table E11-7. Assume that the final averages are jointly normally distributed

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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TABLE • E11-7 Exam Grades
Statistics OR Statistics OR
Statistics OR
86
80
86
81
83
81
75
81
71
76
75
70
69
75
65
72
71
13
75
81
84
85
76
72
90
92
71
72
84
80
94
95
62
65
97
98
83
80
90
93
a. Find the regression line relating the statistics final average to the OR final average. Graph the
data.
b. Test for significance of regression using a = 0.05.
c. Estimate the correlation coefficient.
d. Test the hypothesis that p = 0, using a = 0.05.
e. Test the hypothesis that p = 0.5, using a = 0.05.
f. Construct a 95% confidence interval for the correlation coefficient.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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