One-Sample Statistics Mean Std. Deviation Std. Error Mean Wage (median weekly wage) 16 440.75 91.394 22.849 One-Sample Test Test Value = 500 95% Confidence Interval of the Difference df Sig. (2-tailed) Mean Difference Lower Upper Wage (median weekly wage) -2.593 15 .020 -59.250 -107.95 -10.55
Below is the result of a one-sample t-test that examined whether the average weekly wage earned by a sample of employees in Virginia was significantly different from the average weekly wage in the population (µ = 500). Make sure to follow all the hypothesis testing steps as you think through your response.
For full credit, please give your (1) null and alternative hypotheses in words, (2) state what is the calculated t-value from the output, (3) state whether this finding significant and how you know, (4) state your decision (reject the null hypothesis/fail to reject the null hypothesis), (5) give the effect size d, and (6) summarize the findings in APA format as a 1 - 2 sentence summary (blurb plus stats summary) including the confidence intervals. NOTE: while you are calculating d in step 5, I want you to report the confidence intervals in your APA summary.
Note: As per the guidelines, only first three sub-parts have been solved here.
Given data:
Sample size, N = 16
Sample mean,
Sample standard deviation, s = 91.394
Average weekly wage in the population, .
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