Study pay corporate chief executive officers (CEOs) examined the increase in cash compensation for the CEOs of 111 companies, adjusted for inflation in recent years. The mean increase in compensation and the standard deviation of the increases was 4590. Is this good evidence that the mean real compensation of all CEOs increased year?
(no increase) H0: μ ≤ 0 (an increase)
Because the sample size is large, the sample closely approximates the population. Take α = 0.05.
(a) Sketch the normal curve for the sampling distribution of XÌ„ when H0 is true. Shade the area that represents the p-value for the observed outcome. (Your instructor may ask you to do this work on paper.)
(b) Calculate the p-value. (Round your answer to four decimal places.)
(c) Is the result significant at the 0.05 level? Do you think the study provides strong evidence that the mean compensation of all CEOs went up?
Reject the null hypothesis. There is significant evidence that the mean compensation of all CEOs went up.
Fail to reject the null hypothesis. There is not significant evidence that the mean compensation of all CEOs went up.