SOLUTION: A recent survey of 50 executives who were laid off from their previous position revealed
it took a mean of 26 weeks for them to find another position. The standard deviation of
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Question 343434: A recent survey of 50 executives who were laid off from their previous position revealed
it took a mean of 26 weeks for them to find another position. The standard deviation of
the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population
mean. Is it reasonable that the population mean is 28 weeks? Justify your answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A recent survey of 50 executives who were laid off from their previous position revealed
it took a mean of 26 weeks for them to find another position. The standard deviation of
the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population
mean. ---
xbar = 26
E = invT(0.975 when df = 49)
= 2.0096 * [0.8768] = 1.7620
------
95% CI: 26-1.762 < u < 26+1.762
95% CI: 24.238 < u < 27.762
=====================================
Is it reasonable that the population mean is 28 weeks? Justify your answer.
28 is not in the 95% confidence interval.
==========================================
Cheers,
Stan H.
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