Question

# The school principal wants to test whether a new work schedule had changed the student performance....

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

(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.

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