STEP BY STEP EXPLANATION PLEASE. (a) Determine the area under a normal distribution curve with μ = 55 and o = 7i. To the right of x = 58ii. to the right of x = 43(b) A random sample of sixteen (16) SDC workers taken from the management level of the company gives amean monthly salary of $17,000 with a standard deviation of $5500.What is the 98% confidence interval for the population mean of management level employees?(c) The HR manager at Swift Delivery Company (SDC) has been investigating the level of job satisfaction ofvarious employees at different levels of the organization. She categorized the jobs into levels of seniority 1to 12, with 12 being the most senior and 1 being the least senior. The CEO and Board of Directors (levels 13- 14) were not surveyed. Job satisfaction was rated as a score out of 80. Choosing one person at randomfrom each of the twelve levels she collected the following data: Seniority LevelΣ* =78ΣSS = 953X123456789101112Job Satisfaction RatingΣv= 630y5263676158505244464038Ex = 650SS=-226 SS = 143x 6.5= 52.5(i) Find the equation of the least squares regression line for the data.(ii) Calculate the correlation coefficient, r, and interpret the result.(iii) Calculate the coefficient of determination, ²,(iv) What job satisfaction score would you expect to see for a person working at a seniority level of 10?59Σμ = 34028;Σαν = 3869

It is given that Mean, μ = 55 Standard deviation, σ = 7 Note: According to Bartleby expert…

Answered: (a) Determine the area under a normal…

(a) Determine the area under a normal distribution curve with μ = 55 and o = 7 i. To the right of x = 58 ii. to the right of x = 43

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

STEP BY STEP EXPLANATION PLEASE.

(a) Determine the area under a normal distribution curve with μ = 55 and o = 7
i. To the right of x = 58
ii. to the right of x = 43
(b) A random sample of sixteen (16) SDC workers taken from the management level of the company gives a
mean monthly salary of $17,000 with a standard deviation of $5500.
What is the 98% confidence interval for the population mean of management level employees?
(c) The HR manager at Swift Delivery Company (SDC) has been investigating the level of job satisfaction of
various employees at different levels of the organization. She categorized the jobs into levels of seniority 1
to 12, with 12 being the most senior and 1 being the least senior. The CEO and Board of Directors (levels 13
- 14) were not surveyed. Job satisfaction was rated as a score out of 80. Choosing one person at random
from each of the twelve levels she collected the following data:

Seniority Level
Σ* =78
ΣSS = 953
X
1
2
3
4
5
6
7
8
9
10
11
12
Job Satisfaction Rating
Σv= 630
y
52
63
67
61
58
50
52
44
46
40
38
Ex = 650
SS=-226 SS = 143
x 6.5
= 52.5
(i) Find the equation of the least squares regression line for the data.
(ii) Calculate the correlation coefficient, r, and interpret the result.
(iii) Calculate the coefficient of determination, ²,
(iv) What job satisfaction score would you expect to see for a person working at a seniority level of 10?
59
Σμ = 34028
;
Σαν = 3869

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Follow-up Questions

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Follow-up Question

iii) and iv)

Σ* =78
ΣSS = 953
Seniority Level
X
1
2
3
4
5
6
7
8
9
10
11
12
Σv= 630
Ex = 650
SS₂ = -226 SS = 143
Job Satisfaction Rating
y
52
63
67
61
58
50
52
44
46
40
38
59
Σμ = 34028
;
Σαν = 3869
x 6.5 = 52.5
(iii) Calculate the coefficient of determination, ²,
(iv) What job satisfaction score would you expect to see for a person working at a seniority level of 10?

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