Question

2. An educator claims that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania is less than $65 per day. A random sample of eight schools districts is selected and the daily salaries are shown below. Is there enough evidence to support the educator’s claim? Perform the appropriate hypothesis test using a significance value of 0.05.

.

            65        68        64        63        65        59        63        58       

Find the p-value for the above hypothesis test.

What do you conclude using the p-value?

Answer 1

= 63.125

s = 3.271

H₀: = 65

H₁: < 65

The test statistic t = ()/(s/)

                            = (63.125 - 65)/(3.271/sqrt(8))

                            = -1.62

P-value = P(T < -1.62)

             = 0.0746

Since the P-value is greater than the significance level (0.0746 > 0.05), we should not reject the null hypothesis.

So there is not sufficient evidence to support the educator's claim.