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An important function of a firm’s resources manager is to track worker turnover.

ID: 3320554 • Letter: A

Question

An important function of a firm’s resources manager is to track worker turnover.  As a general rule, companies prefer to retain workers. New workers frequently need to be trained and it often takes time for new workers to learn how to perform their jobs. To investigate nationwide results, a resources manager organized a survey wherein a random sample of men and women was asked how long (in years) they have worked for their current employer.

Let variable 1=number of years worked by men, and Let variable 2=number of years worked by women.

Can we infer that mean tenure between years worked by men and by women is different? (Using the 5% significance level) Assume independent samples.

After performing the appropriate test, you obtain the following result:

t-Test: Two-Sample Assuming Equal Variances Excel Results

Men

Women

Mean

5.556209

5.491034

Variance

28.75709

31.09625

Observations

306

290

Pooled Variance

29.89517

Hypothesized Mean Difference

0

Df

594

t Stat

0.14545

P(T<=t) one-tail

0.442202

t Critical one-tail

1.647423

P(T<=t) two-tail

0.884405

t Critical two-tail

1.963966

Your conclusion, after performing the appropriate hypothesis test, would be:

Do not reject the null; there is not sufficient evidence mean tenure between years worked by men and by women is different.

Reject the null; there is sufficient evidence mean tenure between years worked by men and by women is different.

Not enough information provided to make an inference.

None of the above.

t-Test: Two-Sample Assuming Equal Variances Excel Results

Men

Women

Mean

5.556209

5.491034

Variance

28.75709

31.09625

Observations

306

290

Pooled Variance

29.89517

Hypothesized Mean Difference

0

Df

594

t Stat

0.14545

P(T<=t) one-tail

0.442202

t Critical one-tail

1.647423

P(T<=t) two-tail

0.884405

t Critical two-tail

1.963966

Explanation / Answer

From the given output,

p - Value = 0.8844

Since p - value is very high, we do not reject Ho.

Hence,

There is not sufficient evidence mean tenure between years worked by men and by women is different.

Option A is correct.

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