Part 2) URGENT CARE

You recently started working as a nurse manager at a larger local urgent care facility.Because the center is so new (and a bit fancier than most) many patients come here expecting a bit of a wait before they can be seen.Out of curiosity, on a particularly busy day you write down how many minutes a random sample of patients has to wait before being seen by one of the medical staff.Using a significance level of 20%, test whether the average wait time is less than 15 minutes. See info below (table):

12 10 15 17 15 18 15 15

10 15 12 10 12 19 10 14

10 17 13 15 23 12 15 20

7 10 16 14 14 14 18 13

1.A. What is the name of the type of hypothesis test required here?

B. Is this a left-tailed, right-tailed, or two-tailed test?

2.State AND verify all assumptions required for this test.

[HINT: this test has two assumptions to be verified.]

3.State the null and alternate hypotheses for this test: (use correct symbols and format!)

Null hypothesis

Alternate hypothesis

4.Run the correct test in Excel or on the TI-84 calculator and provide the information below.For each statistic provide the correct symbol and numeric value (round answers to 3 decimal places).

Degrees of Freedom

Test Statistic

Critical Value

p-value

5.State your statistical decision for this test and justify it using the statistics above.

6.Interpret your decision within the context of the problem: what is your conclusion?