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Descriptive Statistics

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ABC Corporation of California publishes a variety of statistics, including the number of individuals who got a new job during the past 12 months and the mean length of time the individuals have been on the job. The Statistical Analysis Department of ABC Corporation reported that the mean length of time of newly employed individuals in California was 17.00 weeks.

A local Chamber of Commerce for the City of Riverside has commissioned a study on the status of employment in the Riverside area. A sample of 16 employed residents of Riverside included data on the age and the number of weeks on a job. A portion of the data collected in October 2001 is shown as follows:

Age Weeks Employed
55 21
30 18
23 11
52 36
41 19
25 12
42 7
45 25
25 6
40 21
25 13
25 11
59 34
49 27
33 18
35 20

Address the following:

a. Based on the above data, use descriptive statistics to summarize the data. Use EXCEL to generate your statistical results.

b. Develop a 99% confidence interval estimate of the mean age of newly hired employees.

c. Conduct a hypothesis test to individuals and determine whether the mean duration of employment in Riverside is greater than the California mean duration of 17.00 weeks. Use a .01 level of significance. What is your conclusion?

d. Is there a relationship between the age of a newly employed individual and the number of weeks of employment?

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Solution Summary

The solution discusses ABC Corporation of California publishes a variety of statistics, including the number of individuals who got a new job during the past 12 months and the mean length of time the individuals have been on the job. The Statistical Analysis Department of ABC Corporation reported that the mean length of time of newly employed individuals in California was 17.00 weeks.

A local Chamber of Commerce for the City of Riverside has commissioned a study on the status of employment in the Riverside area. A sample of 16 employed residents of Riverside included data on the age and the number of weeks on a job. A portion of the data collected in October 2001 is shown as follows:

Age Weeks Employed
55 21
30 18
23 11
52 36
41 19
25 12
42 7
45 25
25 6
40 21
25 13
25 11
59 34
49 27
33 18
35 20

Address the following:

a. Based on the above data, use descriptive statistics to summarize the data. Use EXCEL to generate your statistical results.

b. Develop a 99% confidence interval estimate of the mean age of newly hired employees.

c. Conduct a hypothesis test to individuals and determine whether the mean duration of employment in Riverside is greater than the California mean duration of 17.00 weeks. Use a .01 level of significance. What is your conclusion?

d. Is there a relationship between the age of a newly employed individual and the number of weeks of employment? Explain. For this case analysis, just answer the above questions in your prepared paper

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