The data in this file are the differences in the productivity of workers measured before and...

The data in this file are the differences in the productivity of workers measured before and after they undertake a training program.

x
3.483286
0.502139
1.182506
-0.78977
-1.23055
0.050956
-0.55935
-0.44297
-0.28723
-2.20755
-1.29574
-2.37856
1.590792
-1.07265
-0.51803
0.88382
-1.20074
-0.37303
0.046192
0.178191
3.011939
0.370306
-1.16088
0.896363
0.921949
-0.79235
-0.65858
1.442165
1.291734
-1.19235
0.77025
0.130772
0.170839
0.424066
0.144973
-2.14435
0.925843
2.61098
1.358568
1.635042
-0.39504
0.493437
-0.12331
-1.35487
0.336548
-2.47492
-2.26872
-0.25936
-0.54652
1.104589
-0.39521
3.072957
1.835252
-1.30094
2.040434
2.496305
0.567188
0.268885
2.94741
-0.68594
0.456223
3.001556
0.13461
1.583389
-2.45525
0.400895
-0.47353
0.125818
1.759114
-1.28538
1.848862
1.660223
1.305507
-0.90777
0.613334
1.93013
-0.65393
1.430928
0.788061
0.914506
-0.43457
-0.30062
1.352496
0.585404
0.425084
1.503991
1.308418
0.96236
1.012683
-1.09146
0.990711
-1.1824
-2.12897
-1.1366
1.619349
1.026202
-1.49041
-1.53156
-1.11697
-1.00746

Compute the p-value for the null hypothesis that the training program makes no difference to productivity.
Using a significance level of 10% and a two-sided alternative hypothesis, do you reject H0H0?
Do you need to make any assumptions in order for your test to be valid?

In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, the p-value, and your conclusion.

Expert Solution

a) 0.20 approximately is the p-value for the null hypothesis that the training program makes no difference to productivity.

b) No, we accept the null hypothesis using a significance level of 10% and a two-sided alternative hypothesis.

c) The following image explains all,

orchestra answered 2 years ago

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