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MIS171-Business Analytics

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Question:

As for Assignment 1, you are playing the role of John Frank, junior Analyst at Cuteen. Lee Maston, Human Resources Manager at Cuteen has written to you again regarding the Cuteen dataset. His memorandum is reproduced here:
 
For Attention: John Frank, Senior Analyst 
From: Lee Maston, Human Resources Manager
Regarding: Further analysis of dataset
 
Dear John, Thank you for your earlier responses. In order for me to finalise the employee profile required by senior management, I need the following information.
 
1. An estimate of: a. The mean hours worked for ALL Cuteen employees.
 
b. The proportion of ALL Cuteen employees who are very likely to stay in their job.
 
2. The mean number of hours worked across the industry is 48 per week. Senior management claims that our employees work fewer hours than the industry average. Can you please check the validity of this claim?
 
3. Senior management also believes that the proportion of employees likely to stay in the job is more than 40%. Can you please check and verify whether this claim is true.
 
4. Is there a significant difference in the mean number of hours worked of ALL male and ALL female employees?
 
Activity
 
Part 2: Response to Lee
 
1. (a ) An estima te of the mean hours worked by all Cuteen employees.
 
1. (b ) The proportion of employees who are very likely to stay in their job
 
2. The mean number of hours worked across the industry is 48 per week. Senior management claims that our employees work fewer hours than the industry average. Can you please check the validity of this claim?
 
3. Senior management also believes that the proportion of employees very likely to stay in the job is more than 40%. Is this true?
 
4. Is there is a significant difference in the mean number of hours worked by ALL male and ALL female employees?
 
5. Lee is concerned that a sample of 450 employees may not provide very accurate estimates. What sample size is required to ensure: a. the mean number of hours worked for ALL Cuteen employees is accurate to within 2 hours, with 95% confidence?
 
b. the proportion of ALL Cuteen employees who are very likely to stay with their job to within 5%, with 95% confidence?
 
6. Lee would like to know whether Gross salary last year was affected by the Years of full-time employment (provide solutions for a, b, c, d).
 

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