Question

A large company institutes an exercise break for its workers to see if this will improve job​ satisfaction, as measured by a questionnaire that was given to a random sample of workers to assess their satisfaction.

Job Satisfaction Index

Worker # nbspWorker #	1	2	3	4	5	6	7	8	9	10
Before	35	29	28	42	27	25	23	18	20	30
After	33	42	48	39	30	37	38	24	26	42

Find the test-statistic and p-value.

Answer 1

Using Excel

data -> data analysis -> t-Test: Paired Two Sample for Means

t-Test: Paired Two Sample for Means
	Before	After
Mean	27.7	35.9
Variance	49.7889	57.6556
Observations	10	10
Pearson Correlation	0.4805
Hypothesized Mean Difference	0
df	9
t Stat	-3.4665
P(T<=t) one-tail	0.0035
t Critical one-tail	1.8331
P(T<=t) two-tail	0.0071
t Critical two-tail	2.2622

Ho:mu_d = 0

Ha: mu_d > 0

this is right-tailed test(one-tail)

TS = -3.4665

p-value = 0.0035

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