a large company with offices in major cities asked emloyees from time to time to

Question

a large company with offices in major cities asked emloyees from time to time to move with their families and administrators claim that it's emloyees move on the average of once every 8.50 year, with a standard deviation of 3.62 year. however, trends for the past few years have led people to think a change might have occurred. to test this claim, a random sample was taken of 49 employees ( from the entire company) and they were asked the number of years employed by the company and if they had never been asked to move. for this sample, the mean time was 7.91 year. use a confidence level of 0.05 to test the claim.

Problem#712.5 pts A lhrgre comlies and adninistrators claim that its emploeen trendi time to time to move with their families and administrators claim that its employees move on the average of once every 8.50 year, with a standard deviation of 3.62 year. However, trends for the past few years have led people to think a change might have occurred. To test this claim, a random sample was taken of 49 employees (from the entire company) and they were asked the number of years employed by the company and if they had never been asked to move. For this sample, the mean time was 7.91 year. Use a confidence level of claim

Explanation / Answer

Hypothesis:

Ho :  µ = 8.50

vs.

H1 : µ is not equals to 8.50

= 3.62 (given)

n = 49

X bar = 7.91 (sample mean)

test statistic:

Z = (7.91 - 8.50) / (3.62 / 400.5) =

-1.0308

Z0.025 = -1.96

Here, Z > Z0.025

So, we accept the null hypothesis.

-1.0308

Z0.025 = -1.96

Here, Z > Z0.025

So, we accept the null hypothesis.

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