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Paired T test: Stock Values of Sample A

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See attached data file.

Use the Current Sample "A" 51 stocks (the current price) and Old Sample "A" (the price for one year ago) to calculate a paired test to determine if there has been a significant change in these stock values in the last year. Explain in detail why this paired test would be appropriate for these data, but not appropriate for comparing (Current Sample "A" with a Current Sample "B" (which is not old prices)) - in which a Hypothesis test was used?

Current Old
36.18 23.73
30.92 18.2
51.7 52.06
38.07 41.79
27.87 24.08
37.11 37.38
82.85 67.51
18.74 8.57
41.86 66.59
246.94 138.61
11.55 0
12 11.25
25.5 26.75
44.37 25.63
34.19 22.93
24.29 24.8
24.31 18.17
39.43 34.27
18.9 16.95
195.01 153.02
91.3 55.26
31.87 25.38
26.46 25.62
42.3 34.57
51.79 46.95
13.84 12.15
24.58 28.36
76.48 74.79
64.81 0
41.65 52.89
26.02 21.05
67.97 70.33
36.19 29.94
27.08 25.5
33.86 32.07
32.77 20
49.42 45.22
23.18 12.99
49.18 32.38
15.24 17.18
34.76 32.61
61.94 40.56
69.7 46.77
6.14 9.8
24.69 19.7
33.5 24.37
57.91 43.41
100.21 71.38
55.05 51.55
17.96 16.92
30.93 28.83

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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included.

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