E-Campus Inferential Statistics - Part 2

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E-Campus Inferential Statistics - Part 2 Group Members: James Jones Question 4-Isthere a significant difference in the mean prices of the stores? New Textbook Prices New Price Descriptives 95% Confidence Interval for N Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum 41 60.8078 25.2749 3.9473 52.8301 68.7855 9.95 112.00 39 58.9115 25.2455 4.0425 50.7279 67.0952 7.96 114.75 42 60.8707 26.1026 4.0277 52.7366 69.0049 7.96 114.75 40 58.1205 24.8290 3.9258 50.1798 66.0612 7.99 108.35 36 64.5758 19.8465 3.3078 57.8607 71.2909 32.78 110.14 41 50.1985 21.4404 3.3484 43.4311 56.9660 7.93 95.30 38 61.8561 24.4228 3.9619 53.8285 69.8836 9.95 114.67 41 61.1446 26.0015 4.0607 52.9376 69.3517 7.95 122.15 41 56.6024 22.4132 3.5004 49.5280 63.6769 7.00 101.00 41 57.7585 24.8746 3.8848 49.9071 65.6099 5.96 109.94 400 59.0030 24.1800 1.2090 56.6262 61.3798 5.96 122.15 New Price Test of Homogeneity of Variances Levene Statistic df1 df2 Sig..360 9 390.953 The variances are assumed equal, which was one of the requirements for performing the ANOVA. New Price ANOVA Between Groups Within Groups Sum of Squares df Square F Sig. 5404.968 9 600.552 1.028.417 227879.29 390 584.306 233284.26 399 There is no significant difference in the new textbook prices. Page 1

Used Textbook Prices Descriptives Used Price 95% Confidence Interval for N Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum 41 45.4383 18.6265 2.9090 39.5590 51.3175 7.46 84.00 40 49.4803 20.8439 3.2957 42.8140 56.1465 7.08 93.95 38 49.4108 16.6657 2.7035 43.9329 54.8887 20.70 86.95 20 48.3370 13.9600 3.1215 41.8035 54.8705 24.26 72.80 38 46.3918 18.3173 2.9715 40.3711 52.4126 7.46 86.00 41 48.8610 19.3256 3.0182 42.7611 54.9609 6.30 89.50 218 47.9483 18.3059 1.2398 45.5046 50.3919 6.30 93.95 Used Price Test of Homogeneity of Variances Levene Statistic df1 df2 Sig..637 5 212.671 The variances are assumed equal, which was one of the requirements for performing the ANOVA. Used Price ANOVA Between Groups Within Groups Sum of Squares df Square F Sig. 562.689 5 112.538.331.894 72155.072 212 340.354 72717.760 217 There is no significant difference in the used textbook prices. Page 2

Best Textbook Prices Descriptives Best Price 95% Confidence Interval for N Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum 41 45.4383 18.6265 2.9090 39.5590 51.3175 7.46 84.00 39 58.9115 25.2455 4.0425 50.7279 67.0952 7.96 114.75 42 60.8707 26.1026 4.0277 52.7366 69.0049 7.96 114.75 40 49.4685 20.8473 3.2962 42.8012 56.1358 7.08 93.95 38 49.4108 16.6657 2.7035 43.9329 54.8887 20.70 86.95 41 45.4917 19.3884 3.0280 39.3720 51.6115 7.93 95.30 38 46.3918 18.3173 2.9715 40.3711 52.4126 7.46 86.00 41 61.1446 26.0015 4.0607 52.9376 69.3517 7.95 122.15 41 48.8610 19.3256 3.0182 42.7611 54.9609 6.30 89.50 41 57.7585 24.8746 3.8848 49.9071 65.6099 5.96 109.94 402 52.4374 22.4959 1.1220 50.2316 54.6431 5.96 122.15 Best Price Test of Homogeneity of Variances Levene Statistic df1 df2 Sig. 1.650 9 392.099 The variances are assumed equal, which was one of the requirements for performing the ANOVA. 70 s Plot 60 of Best Price 50 40 Bookstore Page 3

It appears that,, and are the cheapest stores and that,, and are the most expensive. However, it is important to realize that you can not tell just by looking at the graph, you must use a statistical test to tell. So, we look at the ANOVA. Best Price ANOVA Between Groups Within Groups Sum of Squares df Square F Sig. 15491.466 9 1721.274 3.600.000 187441.04 392 478.166 202932.51 401 There is a significant difference in the best textbook prices. So, we'll run the Post Hoc tests on the best price to see where these differences lie. The entries in the table with a * next to it are significantly different. Dependent Variable: Best Price LSD Multiple Comparisons (I) Bookstore (J) Bookstore 95% Confidence Interval Difference (I-J) Std. Error Sig. Lower Bound Upper Bound -13.4732* 4.8911.006-23.0894-3.8571-15.4324* 4.8008.001-24.8709-5.9939-4.0302 4.8597.407-13.5846 5.5241-3.9725 4.9240.420-13.6533 5.7083-5.3415E-02 4.8296.991-9.5486 9.4418 -.9535 4.9240.847-10.6343 8.7272-15.7063* 4.8296.001-25.2015-6.2112-3.4227 4.8296.479-12.9179 6.0725-12.3202* 4.8296.011-21.8154-2.8251 13.4732* 4.8911.006 3.8571 23.0894-1.9592 4.8627.687-11.5194 7.6010 9.4430 4.9209.056 -.2315 19.1176 9.5007 4.9844.057 -.2987 19.3002 13.4198* 4.8911.006 3.8037 23.0360 12.5197* 4.9844.012 2.7202 22.3191-2.2331 4.8911.648-11.8492 7.3831 10.0506* 4.8911.041.4344 19.6667 1.1530 4.8911.814-8.4631 10.7691 Page 4

Multiple Comparisons Dependent Variable: Best Price LSD (I) Bookstore (J) Bookstore 95% Confidence Interval Difference (I-J) Std. Error Sig. Lower Bound Upper Bound 15.4324* 4.8008.001 5.9939 24.8709 1.9592 4.8627.687-7.6010 11.5194 11.4022* 4.8311.019 1.9042 20.9002 11.4599* 4.8957.020 1.8347 21.0851 15.3790* 4.8008.001 5.9405 24.8175 14.4789* 4.8957.003 4.8537 24.1041 -.2739 4.8008.955-9.7124 9.1646 12.0097* 4.8008.013 2.5712 21.4482 3.1122 4.8008.517-6.3263 12.5507 4.0302 4.8597.407-5.5241 13.5846-9.4430 4.9209.056-19.1176.2315-11.4022* 4.8311.019-20.9002-1.9042 5.771E-02 4.9535.991-9.6811 9.7965 3.9768 4.8597.414-5.5776 13.5311 3.0767 4.9535.535-6.6622 12.8155-11.6761* 4.8597.017-21.2305-2.1218.6075 4.8597.901-8.9468 10.1619-8.2900 4.8597.089-17.8444 1.2643 3.9725 4.9240.420-5.7083 13.6533-9.5007 4.9844.057-19.3002.2987-11.4599* 4.8957.020-21.0851-1.8347-5.7711E-02 4.9535.991-9.7965 9.6811 3.9191 4.9240.427-5.7617 13.5999 3.0189 5.0166.548-6.8439 12.8818-11.7338* 4.9240.018-21.4146-2.0531.5498 4.9240.911-9.1310 10.2306-8.3477 4.9240.091-18.0285 1.3330 5.341E-02 4.8296.991-9.4418 9.5486-13.4198* 4.8911.006-23.0360-3.8037-15.3790* 4.8008.001-24.8175-5.9405-3.9768 4.8597.414-13.5311 5.5776-3.9191 4.9240.427-13.5999 5.7617 -.9001 4.9240.855-10.5809 8.7806-15.6529* 4.8296.001-25.1481-6.1577-3.3693 4.8296.486-12.8645 6.1259-12.2668* 4.8296.011-21.7620-2.7716 Page 5

Multiple Comparisons Dependent Variable: Best Price LSD Difference 95% Confidence Interval (I) Bookstore (J) Bookstore (I-J) Std. Error Sig. Lower Bound Upper Bound.9535 4.9240.847-8.7272 10.6343-12.5197* 4.9844.012-22.3191-2.7202-14.4789* 4.8957.003-24.1041-4.8537-3.0767 4.9535.535-12.8155 6.6622-3.0189 5.0166.548-12.8818 6.8439.9001 4.9240.855-8.7806 10.5809-14.7528* 4.9240.003-24.4336-5.0720-2.4691 4.9240.616-12.1499 7.2116-11.3667* 4.9240.021-21.0475-1.6859 15.7063* 4.8296.001 6.2112 25.2015 2.2331 4.8911.648-7.3831 11.8492.2739 4.8008.955-9.1646 9.7124 11.6761* 4.8597.017 2.1218 21.2305 11.7338* 4.9240.018 2.0531 21.4146 15.6529* 4.8296.001 6.1577 25.1481 14.7528* 4.9240.003 5.0720 24.4336 12.2837* 4.8296.011 2.7885 21.7788 3.3861 4.8296.484-6.1091 12.8813 3.4227 4.8296.479-6.0725 12.9179-10.0506* 4.8911.041-19.6667 -.4344-12.0097* 4.8008.013-21.4482-2.5712 -.6075 4.8597.901-10.1619 8.9468 -.5498 4.9240.911-10.2306 9.1310 3.3693 4.8296.486-6.1259 12.8645 2.4691 4.9240.616-7.2116 12.1499-12.2837* 4.8296.011-21.7788-2.7885-8.8976 4.8296.066-18.3927.5976 12.3202* 4.8296.011 2.8251 21.8154-1.1530 4.8911.814-10.7691 8.4631-3.1122 4.8008.517-12.5507 6.3263 8.2900 4.8597.089-1.2643 17.8444 8.3477 4.9240.091-1.3330 18.0285 12.2668* 4.8296.011 2.7716 21.7620 11.3667* 4.9240.021 1.6859 21.0475-3.3861 4.8296.484-12.8813 6.1091 8.8976 4.8296.066 -.5976 18.3927 *. The mean difference is significant at the.05 level. Page 6

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