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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
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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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.
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
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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