Question 4 The Human Resources department in a local company aims to better understand the profile of their staff. Among the various aspects of this big project, they measure the EI (Emotional Intelligence) of their employees and the data regarding the scores of the EI (Emotional Intelligence) test for their 526 employees are presented in the following table: Class intervals for the score of the El test Number of Employees 59) 30 68) 45 77) 112 77 86) 138 100 [86, 95) [95, 104) [104, 113) 62 39 [50 [59 [68 3 1 3 3 (a) Compute an estimate of the mean and variance of the EI scores assuming that observations in a class interval are represented by the midpoint of the relevant class interval. (b) Perform a goodness of fit test of the null hypothesis that the observed El scores follow a normal distribution at the 5% significance level. What is the p-value in your test? (c) What does the p-value that you calculated in (h) indio
Question 4 The Human Resources department in a local company aims to better understand the profile of their staff. Among the various aspects of this big project, they measure the EI (Emotional Intelligence) of their employees and the data regarding the scores of the EI (Emotional Intelligence) test for their 526 employees are presented in the following table: Class intervals for the score of the El test Number of Employees 59) 30 68) 45 77) 112 77 86) 138 100 [86, 95) [95, 104) [104, 113) 62 39 [50 [59 [68 3 1 3 3 (a) Compute an estimate of the mean and variance of the EI scores assuming that observations in a class interval are represented by the midpoint of the relevant class interval. (b) Perform a goodness of fit test of the null hypothesis that the observed El scores follow a normal distribution at the 5% significance level. What is the p-value in your test? (c) What does the p-value that you calculated in (h) indio
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 4
The Human Resources department in a local company
aims to better understand the profile of their staff. Among the various aspects of this
big project, they measure the EI (Emotional Intelligence) of their employees and the
data regarding the scores of the EI (Emotional Intelligence) test for their 526 employees
are presented in the following table:
Class intervals for the score of the El test Number of Employees
[50, 59)
30
[59
68)
[68
77)
(77, 86)
[86, 95)
1
[95, 104)
[104, 113)
5 12 138 100 2 39
45
62
(a) Compute an estimate of the mean and variance of the EI scores assuming that
observations in a class interval are represented by the midpoint of the relevant
class interval.
(b) Perform a goodness of fit test of the null hypothesis that the observed EI scores
follow a normal distribution at the 5% significance level. What is the p-value in
your test?
(c) What does the p-value that you calculated in (b) indicate about the null
hypothesis?
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