Question

In: Statistics and Probability

Part (f) Another possibility is that data in part (c) is the true data and the...

Part (f) Another possibility is that data in part (c) is the true data and the data in part (d) was obtained when the participants in the study were listening to a particularly catchy song. Lets say they where the same participants in part (c) and 1 2 part (d) but were tested at different times – i.e., we expect that the five participants were listening to the popular song in part (d). Match the data sequentially as listed with each participant and perform a χ 2 test. What may you conclude from this test? Which one is the real data that we want. In this case should we be guessing that the population mean is 100 or 120.

Solutions

Expert Solution

Col 1   Col 2   Col 3   Col 4   Col 5   Total  
Row 1 Observed   130 121 101 118 125 595
Expected   124.86 120.52 109.12 118.35 122.15 595.00
O - E   5.14 0.48 -8.12 -0.35 2.85 0.00
(O - E)² / E   0.21 0.00 0.60 0.00 0.07 0.88
Row 2 Observed   100 101 100 100 100 501
Expected   105.14 101.48 91.88 99.65 102.85 501.00
O - E   -5.14 -0.48 8.12 0.35 -2.85 0.00
(O - E)² / E   0.25 0.00 0.72 0.00 0.08 1.05
Total Observed   230 222 201 218 225 1096
Expected   230.00 222.00 201.00 218.00 225.00 1096.00
O - E   0.00 0.00 0.00 0.00 0.00 0.00
(O - E)² / E   0.46 0.00 1.32 0.00 0.15 1.94
1.94 chi-square
4 df
.7475 p-value

We can conclude that the data is independent.


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