3. [ ] A financial corporation desires to estimate the total number of work- hours lost for a given fiscal year because of sick-days taken among all employees. Since the analysts, information technologists and managers have different sick-days rates, the researchers decided to use stratified random sampling, with each group forming a separate stratum. A stratified random sample of n₁ =18 analysts, n₂ = 10 information technologists, and n - 2 managers were selected and the collected data are summarized as follows: = Parameters/Statistics Sample mean, Y h 2 Sample variance, s Size of i-th stratum, N h 2 Population variance, o Analysts 8.83 81.54 132 36 Information Technologists 6.89 56.40 92 25 Managers 4.5 24.50 27 9 a. [ ] Estimate the total number of work-hours lost by the corporation for a given fiscal year. b. [ ] Construct a 95% confidence interval for the total number of work-hours lost by the corporation for a fiscal year. c. [ ] Estimate the av -hours lost per employee in the corporation for a Page 2 of 5 d. [ ] Construct a 9 the average number of work- hours lost per employee in the corporation for a given fiscal year. e. [ ] Is the average number of work-hours lost by the analysts significantly different from those of the information technologists? Justify your answer. e. [] Is the average number of work-hours lost by the analysts significantly different from those of the information technologists? Justify your answer. (Hint: Hypothesis testing). f. Suppose the researcher was tasked to conduct the same study for another but similar financial corporation to estimate the total number of work-hours lost for a given fiscal year. i. [ ] Find the optimal allocation when the costs of interviewing each sampled employee are the same across all strata but the variability in the number of work-hours lost is different from stratum to stratum for a given overall sample of n = 30. ii. [ ] Find the optimal allocation when the costs of interviewing each sampled employee are the same across all strata and the variability in the number of work-hour lost is also the same from stratum to stratum for a given overall sample of n = 30. 2
3. [ ] A financial corporation desires to estimate the total number of work- hours lost for a given fiscal year because of sick-days taken among all employees. Since the analysts, information technologists and managers have different sick-days rates, the researchers decided to use stratified random sampling, with each group forming a separate stratum. A stratified random sample of n₁ =18 analysts, n₂ = 10 information technologists, and n - 2 managers were selected and the collected data are summarized as follows: = Parameters/Statistics Sample mean, Y h 2 Sample variance, s Size of i-th stratum, N h 2 Population variance, o Analysts 8.83 81.54 132 36 Information Technologists 6.89 56.40 92 25 Managers 4.5 24.50 27 9 a. [ ] Estimate the total number of work-hours lost by the corporation for a given fiscal year. b. [ ] Construct a 95% confidence interval for the total number of work-hours lost by the corporation for a fiscal year. c. [ ] Estimate the av -hours lost per employee in the corporation for a Page 2 of 5 d. [ ] Construct a 9 the average number of work- hours lost per employee in the corporation for a given fiscal year. e. [ ] Is the average number of work-hours lost by the analysts significantly different from those of the information technologists? Justify your answer. e. [] Is the average number of work-hours lost by the analysts significantly different from those of the information technologists? Justify your answer. (Hint: Hypothesis testing). f. Suppose the researcher was tasked to conduct the same study for another but similar financial corporation to estimate the total number of work-hours lost for a given fiscal year. i. [ ] Find the optimal allocation when the costs of interviewing each sampled employee are the same across all strata but the variability in the number of work-hours lost is different from stratum to stratum for a given overall sample of n = 30. ii. [ ] Find the optimal allocation when the costs of interviewing each sampled employee are the same across all strata and the variability in the number of work-hour lost is also the same from stratum to stratum for a given overall sample of n = 30. 2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![3. [
] A financial corporation desires to estimate the total number of work-
hours lost for a given fiscal year because of sick-days taken among all
employees. Since the analysts, information technologists and managers have
different sick-days rates, the researchers decided to use stratified random
sampling, with each group forming a separate stratum. A stratified random
sample of n₁ =18 analysts, n₂ = 10 information technologists, and n - 2
managers were selected and the collected data are summarized as follows:
=
Parameters/Statistics
Sample mean, Y
h
2
Sample variance, s
Size of i-th stratum, N
h
2
Population variance, o
Analysts
8.83
81.54
132
36
Information
Technologists
6.89
56.40
92
25
Managers
4.5
24.50
27
9
a. [ ] Estimate the total number of work-hours lost by the corporation for a
given fiscal year.
b. [ ] Construct a 95% confidence interval for the total number of work-hours
lost by the corporation for a fiscal year.
c. [ ] Estimate the av
-hours lost per employee in the
corporation for a
Page 2 of 5
d. [ ] Construct a 9
the average number of work-
hours lost per employee in the corporation for a given fiscal year.
e. [ ] Is the average number of work-hours lost by the analysts significantly
different from those of the information technologists? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76f5089c-8cf5-4463-b6fc-dd4c86631dd9%2F62ab234b-b19f-447d-a3d9-5becfed4e80c%2Fdotudmg_processed.png&w=3840&q=75)
Transcribed Image Text:3. [
] A financial corporation desires to estimate the total number of work-
hours lost for a given fiscal year because of sick-days taken among all
employees. Since the analysts, information technologists and managers have
different sick-days rates, the researchers decided to use stratified random
sampling, with each group forming a separate stratum. A stratified random
sample of n₁ =18 analysts, n₂ = 10 information technologists, and n - 2
managers were selected and the collected data are summarized as follows:
=
Parameters/Statistics
Sample mean, Y
h
2
Sample variance, s
Size of i-th stratum, N
h
2
Population variance, o
Analysts
8.83
81.54
132
36
Information
Technologists
6.89
56.40
92
25
Managers
4.5
24.50
27
9
a. [ ] Estimate the total number of work-hours lost by the corporation for a
given fiscal year.
b. [ ] Construct a 95% confidence interval for the total number of work-hours
lost by the corporation for a fiscal year.
c. [ ] Estimate the av
-hours lost per employee in the
corporation for a
Page 2 of 5
d. [ ] Construct a 9
the average number of work-
hours lost per employee in the corporation for a given fiscal year.
e. [ ] Is the average number of work-hours lost by the analysts significantly
different from those of the information technologists? Justify your answer.
![e. [] Is the average number of work-hours lost by the analysts significantly
different from those of the information technologists? Justify your answer.
(Hint: Hypothesis testing).
f. Suppose the researcher was tasked to conduct the same study for
another but similar financial corporation to estimate the total number of
work-hours lost for a given fiscal year.
i. [ ] Find the optimal allocation when the costs of interviewing each
sampled employee are the same across all strata but the variability
in the number of work-hours lost is different from stratum to stratum
for a given overall sample of n = 30.
ii. [ ] Find the optimal allocation when the costs of interviewing each
sampled employee are the same across all strata and the variability
in the number of work-hour lost is also the same from stratum to
stratum for a given overall sample of n = 30.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76f5089c-8cf5-4463-b6fc-dd4c86631dd9%2F62ab234b-b19f-447d-a3d9-5becfed4e80c%2Fo48yu7_processed.png&w=3840&q=75)
Transcribed Image Text:e. [] Is the average number of work-hours lost by the analysts significantly
different from those of the information technologists? Justify your answer.
(Hint: Hypothesis testing).
f. Suppose the researcher was tasked to conduct the same study for
another but similar financial corporation to estimate the total number of
work-hours lost for a given fiscal year.
i. [ ] Find the optimal allocation when the costs of interviewing each
sampled employee are the same across all strata but the variability
in the number of work-hours lost is different from stratum to stratum
for a given overall sample of n = 30.
ii. [ ] Find the optimal allocation when the costs of interviewing each
sampled employee are the same across all strata and the variability
in the number of work-hour lost is also the same from stratum to
stratum for a given overall sample of n = 30.
2
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