Question

A researcher was interested in how performance on a standard test was affected by different sound backgrounds. A sample of n = 7 subjects were selected for each of the 3 sound backgrounds while the subjects performed the standard test a. Noise(traffic) b. Perfect silence c. Soothing Music The scores on the tests are tabulated below: Noise Perfect Silence Soothing Music 71 48 80 85 477 2x 35 398 24888 L 62 488 36272 Sr 33495 24) Identify the correct ANOVA table for this test. Choices b) Source Between Within Total SS df 688.67 2 8501.14 18 9189.8120 MST 344.33 0.729 472.29 Source SS df Between 1688.67 2 Within 501.14 18 Total 1189.8120 MS 344 33 112 368 27.84 MS Source SSD df Between 1688.672 Within 4501.14 18 Total 6189.8120 1.127 844.333.376 250.06 Source Between Within Total SS df 688.67 2 5501.14 18 6189.8120 MS 344.33 305.62 Source SSD df Between 688.67 2 Within 6601.14 18 Total 7289.8120 MS 344.33 366.73 0.939 Source Between Within Total SS df 4688.672 1501.14 18 6189.8120 MSF 2344.33 28.111 83.40 25) Identify the conclusions that would be made from this analysis. Choices a) Ho is rejected for both a=0.05 and a= 0.01 b) Ho is rejected for a=0.05 and accepted for a=0.01 c) Ho accepted for a=0.05 and rejected for a= 0.01 d) Ho is accepted for both a= 0.05 and a=0.01

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	std dev
Noise	7	477	68.143	165.1	12.9
perfect Silence	7	398	56.857	376.5	19.4
Soothing Music	7	488	69.714	375.2	19.4
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	688.667	2	344.33	1.13	0.3459	3.55
Within Groups	5501.143	18	305.62
Total	6189.810	20

24)

d) Source TSS df MSF Between 688.67 2 344.33 1.127 Within 5501.14 18 305.62 Total 6189.8120

25)