In the midst of labor-management negotiations, the president of a company argues

Q: In the midst of labor-management negotiations, the president of a company argues

The statistical software output for this problem is: One sample T summary hypothesis test: : Mean of population H0 : = 43000 HA : > 43000 Hypothesis test results: Hence, 1. H0 : 43000 t = 0.954 P - value = 0.171 Conclusion: At = 0.05, do not reject; p - value > ; insufficient; population mean; greater than; 43000 is not; is Mean Sample Mean Std. Err. DF T-Stat P-value 43318 333.33333 224 0.954 0.1706

ID: 3317396 • Letter: I

Question

In the midst of labor-management negotiations, the president of a company argues that the company’s blue-collar workers, who are paid an average of $43,000 per year, are well paid because the mean annual income of all blue-collar workers in the country is less than $43,000. That figure is disputed by the union, which does not believe that the mean blue-collar income is less than $43,000. To test the company president’s belief, an arbitrator draws a random sample of 225 blue-collar workers from across the country and asks each to report his or her annual income. The sample mean annual income of the 225 randomly selected blue-collar workers was $43,318, and the sample standard deviation was $5,000. Can it be inferred at the 5% significance level that the company president is correct?

1. To test: Ho: (Click to select)x¯ (Click to select)=>< vs. Ha: (Click to select) x¯ (Click to select)><=

2. Test Statistic (Round to 3 decimals): t =

3. p-value (Round to 3 decimals):

Conclusion: At = , (Click to select)do not reject Horeject Horeject Hado not reject Ha since p-value (Click to select)><= . We have (Click to select)sufficientinsufficient evidence to conclude that the (Click to select)sample variancepopulation meansample meanpopulation variance annual income of blue-collar workers (Click to select)is less thanis greater thanis equal todiffers from .

Therefore, there (Click to select)is notis enough evidence to infer that the company president is (Click to select)incorrectcorrect

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 43000
HA : > 43000

Hypothesis test results:

Hence,

1. H0 : < 43000
HA : > 43000

t = 0.954

P - value = 0.171

Conclusion: At = 0.05, do not reject; p - value > ; insufficient; population mean; greater than; 43000

is not; is

Mean Sample Mean Std. Err. DF T-Stat P-value 43318 333.33333 224 0.954 0.1706

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In the midst of labor-management negotiations, the president of a company argues

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