Question

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.

Answer 1

		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.