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## STAT200 WEEK 8 HOMEWORK A+

by: kimwood Notetaker

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# STAT200 WEEK 8 HOMEWORK A+

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STAT200 WEEK 8 HOMEWORK A+
COURSE
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PAGES
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KARMA
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This 7 page Study Guide was uploaded by kimwood Notetaker on Monday November 9, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 11/09/15
Lane Chap. 15 10. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe? DFn = (5*6) - 1 = 29 DFe = 29 – (5*1) = 29 – 5 = 24 17. The following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Compute the analysis of variance summary table. 12-year olds 16-year olds 30 minutes 66 74 68 71 59 67 72 82 46 76 60 minutes 69 95 61 92 69 95 73 98 61 94 Hoa: there is no significant difference in the rows. H1a: there is significant difference in the rows. Hob: there is no significant difference in the columns. H1b: there is significant difference in the columns. The analysis of variance summary table is shown below. Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance 30 minutes 2 140 70 32 2 139 69.5 4.5 2 126 63 32 2 154 77 50 2 122 61 450 60 minutes 2 164 82 338 2 153 76.5 480.5 2 164 82 338 2 171 85.5 312.5 2 155 77.5 544.5 64.4888 12-year olds 10 644 64.4 9 136.266 16-year olds 10 844 84.4 7 ANOVA Source of Variation SS df MS F P-value F crit 136.088 2.10446 0.14145 3.17889 Rows 1224.8 9 9 7 9 3 30.9278 0.00035 5.11735 Columns 2000 1 2000 4 1 5 64.6666 Error 582 9 7 Total 3806.8 19 For rows: Since, p-value = 0.141459 is greater than alpha (0.05), I don’t reject Ho at 5% level of significance and conclude that there is no significant difference in the rows. For columns: Since, p-value = 0.000351 is less than alpha (0.05), I reject Ho at 5% level of significance and conclude that there is significant difference in the columns. ADHD Treatment (AT) case study http://onlinestatbook.com/2/case_studies/adhd.html 28. (AT) The dataset ADHD Treatment has four scores per subject. a. Is the design between-subjects or within-subjects? The design is within-subjects. b. Create an ANOVA summary table. Ho: there is no significant difference between the means of the four groups. H1: there is significant difference between the means of the four groups. Anova: Single Factor SUMMARY Avera Varian Groups Count Sum ge ce 128.02 D0 24 954 39.75 17 39.666 83.449 D15 24 952 67 28 44.333 138.57 D30 24 1064 33 97 44.708 151.78 D60 24 1073 33 08 ANOVA Source of P- Variation SS df MS F value F crit 557.61 185.87 1.4815 0.2247 2.7035 Between Groups 46 3 15 45 47 94 11542. 125.45 Within Groups 13 92 79 12099. Total 74 95 Since, p-value = 0.224747 which is greater than alpha (0.05), I don’t reject Ho at 5% level of significance and conclude that there is no significant difference between the means of the four groups. Illowsky Chap.13 69. A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that Table 13.24 shows the results of a study. CNN FOX Local 45 15 72 12 43 37 18 68 56 38 50 60 23 31 51 35 22 Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. Ho: there is no significance difference in the mean times (in minutes) of people watching their favorite news station. H1: there is significance difference in the mean times (in minutes) of people watching their favorite news station. Anova: Single Factor SUMMARY Su Averag Varian Groups Count m e ce 17 CNN 6 1 28.5 163.5 22 38.166 380.56 FOX 6 9 67 67 27 Local 5 6 55.2 163.7 ANOVA Source of Variation SS df MS F P-value F crit Between 1967.9 983.96 4.0814 0.0401 3.7388 Groups 25 2 27 62 33 92 Within 3375.1 241.08 Groups 33 14 1 5343.0 Total 59 16 Since p-value = 0.04 which is less than alpha (0.05), I reject Ho at 5% level of significance and conclude that there is significance difference in the mean times (in minutes) of people watching their favorite news station.

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