Question

1. The school principal wants to test whether a new work schedule had changed the student performance. The scores before and after the schedule was implemented are given below and it is measured . You want to test if the work schedule was effective in increasing the performance.

1. what are your null and alternate hypotheses? (0.5 Point)
2. What test do you use here? (0.5 Point)
3. Was the work schedule effective in increasing the performance rating significantly? (1 Point)

Before	After
170	185
175	180
165	180
155	172
160	175
175	190
170	195
163	175
182	190
175	190

Answer 1

(a)

H0: Null Hypothesis: 0 ( the work schedule was not effective in increasing the performance rating significantly )

HA:Alternative Hypothesis: <0 ( the work schedule was effective in increasing the performance rating significantly ) (Claim)

(b)

We use Dependent Samples t test (Paired t test)

(c)

From the given data, values of d = Before - After are got as follows:

d = Before - After =-15, - 5, - 15, - 17, - 15, - 15, -25, - 12, - 8, - 15

From d values the following statistics are calculated:

n = 10

= - 14.2

sd = 5.320

Take = 0.05

df = 10 - 1 = 9

From table, critical value of t = - 1.833

Test Statistic is given by:

Since calculated value of t = - 8.426 is less than critical value of t = - 1.833, the difference is significant. Reject null hypothesis.

Conclusion:
The data support the claim that the work schedule was effective in increasing the performance rating significantly.