Question

26. The Allegheny County, Pennsylvania school district states that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania, is $60 per day. A disgruntled teacher believes the salary is actually less than this amount. A random sample of five school districts is selected, and the daily salaries (in dollars) are shown. Based on the evidence below, does it look like the disgruntled teacher is correct? Note: In your summary statement, remember to comment on the italicized phrase. You can use α = .10.

60 56 60 55 70

Part A: Solve for ?̅ :

Part B: Solve for s:

Part C: State ho and h1:

Part D: Solve for Critical Values t α/2:

Part E: Calculate

Part F: Apply Decision Rule to determine if ho should be accepted or rejected:

Part G: Summary Statement:

Answer 1

A)

B) S =

C)

D) here given , therefore , so we have to solve for critical values

E) So, we will test at 5% level of significance and the test statistic is

F) We reject the null hypothesis if obs T <

So we accept null hypothesis at 5% level of significance.

G) The disgruntled teacher is not correct.