Question

A worker is given monthly tests (new test generated each month) to assess his ability to be effective in the workplace. However this worker got into an accident recently. The employer said that "the accident would change them, and the employer believe that the worker is a completely different person before versus after the accident. The employer would like to determine if the worker's performance has significantly changed since the accident has occured.

alpha = 5%
before = sample 1

(a) Find the p-values of the normality tests

p-value (before) =

p-value (after) =

(b) State the hypotheses:

(c) Find the test statistic for this test =

(d) Determine the ?P-value of your statistical test =

(e) At a=0.05, the data indicates you will [reject / fail to reject] null hypothesis. You can say that the test scores before and after the accident is _______ after the accident.

Data:

Scores Before Accident	Scores After Accident
6.01	0.79
4.95	5.76
5.5	2.33
4.91	2.23
5.78	6.65
4.19	1.81
4.49	5.56
4.96	1.07
	1.1

Answer 1

(a) Find the p-values of the normality tests

p-value (before) = 0.649

p-value (after) = 0.036

(b) State the hypotheses:

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

(c) Find the test statistic for this test =

2.457

(d) Determine the ?P-value of your statistical test =

0.0267

(e) At a=0.05, the data indicates you will reject null hypothesis. You can say that the test scores before and after the accident is different after the accident.

Scores Before Accident	Scores After Accident
5.0988	3.0333	mean
0.6244	2.2957	std. dev.
8	9	n
	15	df
	2.06542	difference (Scores Before Accident - Scores After Accident)
	2.99263	pooled variance
	1.72992	pooled std. dev.
	0.84059	standard error of difference
	0	hypothesized difference
	2.457	t
	.0267	p-value (two-tailed)

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