In order to receive a merit raise a computer clerk must average less than 15 minutes per order form processed. An across-the-board raise was given if the average is 15 minutes or more. The supervisor randomly selects 36 order forms and carefully times the length of time required to enter all of the data on each form. The significance level = 0.025. The average time to enter the 36 order forms is 14.36 minutes, and the population standard deviation is 3.03 minutes with a normal distribution. The test question is: Should a merit raise be given? What is your conclusion?
State the null and alternative hypotheses in symbolic form.
- State the null and alternative hypotheses in word form.
- State the type of test and the test statistic you will use.
- What is the critical value of the test statistic?
- What is the value of test statistic for the sample?
- State your decision regarding the null hypothesis.
- State your answer in response to the question "Should the merit raise be given?"