Suppose that the amount of time MMU students spend weekly working as a part timer is normally distributed with a standard deviation of 30 minutes. A lecturer chooses 20 students from Faculty of Management to identify the amount of time spent at part time jobs (in minutes) and the result are listed below. 160 120 130 155 70 110 60 150 180 70 200 220 160 120 80 95 100 120 240 140 (a) Compute the point estimate of the population mean. (b) Compute the 95% margin of error. (c) Construct a 95% confidence interval of the population mean. Interpret the interval.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that the amount of time MMU students spend weekly working as a part timer is
normally distributed with a standard deviation of 30 minutes. A lecturer chooses 20
students from Faculty of Management to identify the amount of time spent at part time jobs
(in minutes) and the result are listed below.
120
60
130
155
180
120
240
160
70
110
150
70
200
220
160
80
95
100
120
140
(a) Compute the point estimate of the population mean.
(b) Compute the 95% margin of error.
(c) Construct a 95% confidence interval of the population mean. Interpret the interval.
(d) Construct a 90% confidence interval of the population mean. Interpret the interval.
(e) Is the width of the 95% confidence interval larger than the width of the 90%
confidence interval? Sketch the area and explain.
(f) A committee of FOM Student and Staff Affairs would like to estimate a population
mean to within 10 students with 97% confidence level and o = 20. Determine the
sample size.
Transcribed Image Text:Suppose that the amount of time MMU students spend weekly working as a part timer is normally distributed with a standard deviation of 30 minutes. A lecturer chooses 20 students from Faculty of Management to identify the amount of time spent at part time jobs (in minutes) and the result are listed below. 120 60 130 155 180 120 240 160 70 110 150 70 200 220 160 80 95 100 120 140 (a) Compute the point estimate of the population mean. (b) Compute the 95% margin of error. (c) Construct a 95% confidence interval of the population mean. Interpret the interval. (d) Construct a 90% confidence interval of the population mean. Interpret the interval. (e) Is the width of the 95% confidence interval larger than the width of the 90% confidence interval? Sketch the area and explain. (f) A committee of FOM Student and Staff Affairs would like to estimate a population mean to within 10 students with 97% confidence level and o = 20. Determine the sample size.
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