Perform the Required Hypothesis Test by Using a Mann-Whitney Test

question 80

Essay

Perform the required hypothesis test by using a Mann-Whitney test. Use a normal approximation for M. Find the meanand standard deviation of M, the value of M and of the test statistic, the critical value(s), and state your conclusion.
-Independent simple random samples of 11 female employees and 11 male employees are selected from one company and the weekly salaries of the employees are recorded. The salaries (in dollars)are shown below. Use a significance level of 0.10 to test whether the mean salary for female employees differs from the mean salary for male employees.

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Definitions:

Employer Contributions

Employer contributions refer to the amounts added by an employer to an employee's benefits or retirement savings accounts, such as a 401(k) plan, often matching the employee's contributions up to a certain percentage.

Tax-Deferred Plans

Investment accounts, such as IRAs or 401(k)s, where contributions may reduce taxable income in the year made, with taxes paid later upon withdrawal.

Accumulation Period

The phase in some investment vehicles, such as annuities, during which an investor builds up their investment value through payments or investment returns.

Distribution Period

The timeframe over which payments are made from a retirement or investment account to the account holder.