A large corporation has thousands of employees. The distribution of annual salaries for the employees is

skewed to the right, with a mean of $68,000 and a standard deviation of $18,000. Because business has

been good this year, the CEO of the company decides that every employee will receive a $5000 bonus. Let

X be the current annual salary of a randomly selected employee before the bonus and Y be the employee's

salary after the bonus. Describe the shape, center, and variability of the probability distribution of Y.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)