The vice president for Nursing Services at University Hospital recently noticed in the job postings for nurses that those that are unionized seem to offer higher wages. She decided to investigate and gathered the following information.
Group |
Mean Wage |
Sample Standard Deviation |
Sample Size |
Nonunion |
$19.8125 |
$2.95 |
16 |
Union |
$20.7692 |
$2.49 |
13 |
Using a significance level of α = .10, does it appear that there is a significant difference in the variances in wages for the union and nonunion nurses? Conduct a complete and appropriate hypothesis test.
The upper-tail critical value for rejecting the most obvious H0 is (Click to select)-±+ . (Report your answer to 2 decimal places, using conventional rounding rules)
The value of the test statistic is (Click to select)+-± . (Report your answer to 2 decimal places, using conventional rounding rules)
Should the most obvious null hypothesis be rejected? (Click to select)cannot be determined from the information provided no yes
Can you conclude that there is a significant difference in the variances in wages for the union and nonunion nurses? (Click to select)yes no cannot be determined from the information provided
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