Question 1: The university administration believes that there is a significant difference in the reasons why people drink between males and females. In one sentence, identify if there is a significant difference between males and females (be sure to provide the appropriate statistics and p-values). What percentage of males say they drink alcohol because it’s the only way to have a good time? What percentage of females drink because they enjoy the taste? Crosstabs Case Processing Summary Cases Mis sing N Percent Valid N Percent Why do you drink? * Gender 135 83.3% 27 16.7% Total N Percent 162 100.0% Why do you drink? * Gender Crosstabulation Why do you drink? Enjoy the taste Relaxes me Becaus e my friends drink Best way to have a good time Total Count % within Gender Count % within Gender Count % within Gender Count % within Gender Count % within Gender Gender Male Female 22 14 29.3% 23.3% 36 40 48.0% 66.7% 3 1 4.0% 1.7% 14 5 18.7% 8.3% 75 60 100.0% 100.0% Total 36 26.7% 76 56.3% 4 3.0% 19 14.1% 135 100.0% Chi-Square Te sts Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 5.655a 5.819 1.115 3 3 As ymp. Sig. (2-sided) .130 .121 1 .291 df 135 a. 2 c ells (25.0%) have ex pec ted c ount les s than 5. The minimum expected count is 1.78. There is not a significant difference in the reasons why people drink between males and females (X2 = 5.655, p ≤ .130). 18.7% of males say they drink alcohol to have a good time. 23.3% of females say they drink because they enjoy the taste Question 2: Melody, the bartender at the local watering hole, believed that student preferences differed for shots depending on how they classified themselves in terms of drinking (non-drinker, social drinker, moderate drinker, heavy drinker). In one sentence, identify if there is a significant difference in the preference for shots by drinking self classification (be sure to provide the appropriate statistics and p-values). If there are any significant differences, what are they? Who likes shots the most? Oneway Descriptives Preference for Shots N Nondrinker Social drinker Moderate drinker Heavy drinker Total 13 72 42 9 136 Mean 2.85 2.85 3.31 5.22 3.15 Std. Deviation 2.193 1.717 1.841 1.856 1.888 Std. Error .608 .202 .284 .619 .162 95% Confidence Interval for Mean Lower Bound Upper Bound 1.52 4.17 2.44 3.25 2.74 3.88 3.80 6.65 2.83 3.47 Minimum 1 1 1 1 1 Maximum 7 7 7 7 7 ANOVA Preference for Shot s Between Groups W ithin Groups Total Sum of Squares 47.515 433.543 481.059 df 3 132 135 Mean Square 15.838 3.284 F 4.822 Sig. .003 Post Hoc Tests Multiple Com pari sons Dependent Variable: Preference for Shots Bonferroni (I) Drinking self-classification Nondrinker Social drinker Moderate drink er Heavy drinker (J) Drinking self-classification Social drinker Moderate drink er Heavy drinker Nondrinker Moderate drink er Heavy drinker Nondrinker Social drinker Heavy drinker Nondrinker Social drinker Moderate drink er Mean Difference (I-J) St d. -.001 -.463 -2. 376* .001 -.462 -2. 375* .463 .462 -1. 913* 2.376* 2.375* 1.913* E rror .546 .575 .786 .546 .352 .641 .575 .352 .666 .786 .641 .666 Sig. 1.000 1.000 .018 1.000 1.000 .002 1.000 1.000 .028 .018 .002 .028 95% Confidenc e Interval Lower Bound Upper Bound -1. 46 1.46 -2. 00 1.08 -4. 48 -.27 -1. 46 1.46 -1. 40 .48 -4. 09 -.66 -1. 08 2.00 -.48 1.40 -3. 70 -.13 .27 4.48 .66 4.09 .13 3.70 *. The mean differenc e is significant at the .05 level. There is a significant difference in preference for shots by drinking self classification (F = 4.822, p ≤ .003). There are significant differences between heavy drinkers (mean preference = 5.22) and nondrinkers (mean = 2.85), social drinkers (mean = 2.85) and moderate drinkers (mean = 3.31). Heavy drinkers like shots the most. Question 3: The President of the University believes that, based on conversation with the head of the police department, WEU students drink far more than the national average. In one sentence, identify whether or not WEU students differ from the national average (be sure to provide the appropriate statistics and p-values). How many drinks, on average, do WEU students drink in a typical week? T-Test One-Sam ple Statistics N On average, how many drink s do you consume each week? Mean 136 4.53 St d. Deviation St d. Error Mean 2.976 .255 One-Sample Test Test Value = 2.5 t On average, how many drink s do you consume each week? 7.952 df 135 Sig. (2-tailed) Mean Difference .000 2.029 95% Confidenc e Int erval of t he Difference Lower Upper 1.52 WEU students differ from the national average in the number of drinks they consume each week (t = 7.952, p ≤ .000). On average, WEU students drink 4.53 drinks per week. 2.53 Question 4: One of the brothers in Pi Mu Beta, a fraternity on campus said that women and men at WEU differ in their preference of lite beer. In one sentence, identify whether or not there is a difference between men and women in their preference for lite beer (be sure to provide the appropriate statistics and p-values). Who prefers lite beer more, men or women? Is the result what you expected? Why or why not? T-Test Group Statistics Preference for Lite Beer Gender Male Female N Mean 5.03 4.03 75 60 Std. Deviation 1.952 2.393 Std. Error Mean .225 .309 Independent Samples Test Levene's Test for Equality of Variances F Preference for Lite Beer Equal variances as sumed Equal variances not ass umed 7.245 Sig. .008 t-test for Equality of Means t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower Upper 2.656 133 .009 .993 .374 .254 1.733 2.597 112.991 .011 .993 .382 .236 1.751 There is a difference in preference for lite beer between men and women (t = 2.597, p ≤ .011). Males prefer lite beer more than females. This isn’t what I expected. I though women might prefer liter beer more than men because of it contains fewer calories. Question 5: The university administration believes that there is a significant difference between those who do and do not belong to a fraternity or sorority as to whether or not they drink alcohol. In one sentence, identify whether or not there is a difference between Greeks and nonGreeks (be sure to provide the appropriate statistics and p-values). What percentage of those who drink alcohol do not belong to a Greek organization? Crosstabs Ca se Processi ng Sum mary N Do you drink alc ohol? * Belong t o fraternity or sorority ? Cases Missing N Percent Valid Percent 161 99.4% 1 Total Percent N .6% 162 100.0% Do you drink alcohol? * Belong to fraternity or sorority? Crosstabulation Do you drink alcohol? Yes No Total Belong to fraternity or sorority? Yes No 49 86 Count % within Do you drink alcohol? % within Belong to fraternity or sorority? Count % within Do you drink alcohol? % within Belong to fraternity or sorority? Count % within Do you drink alcohol? % within Belong to fraternity or sorority? Total 135 36.3% 63.7% 100.0% 98.0% 77.5% 83.9% 1 25 26 3.8% 96.2% 100.0% 2.0% 22.5% 16.1% 50 111 161 31.1% 68.9% 100.0% 100.0% 100.0% 100.0% Chi-Square Tests Pearson Chi-Square Continuity Correction a Likelihood Ratio Fis her's Exact Test Linear-by-Linear As sociation N of Valid Cases Value 10.722 b 9.260 14.139 10.655 df 1 1 1 1 As ymp. Sig. (2-sided) .001 .002 .000 Exact Sig. (2-sided) Exact Sig. (1-sided) .000 .000 .001 161 a. Computed only for a 2x2 table b. 0 cells (.0%) have expected count less than 5. The minimum expected count is 8. 07. There is a significant difference in whether or not a person consumes alcohol by whether or not the student belongs to a fraternity or sorority (X2 = 10.722, p ≤ .000). 63.7% of those who do drink so not belong to a fraternity or sorority. Question 6: Past research showed that college students, on average, rated wine coolers a 5.2 on a 1 to 7 scale where a “1” is I do not like and a “7” is I like very much. Dr. Jekyll thinks that WEU students differed from the national average in terms of their preference for wine coolers (wcooler). In one sentence, identify whether or not WEU students differ from the average college students in terms of their preference for wine coolers (be sure to provide the appropriate statistics and p-values). T-Test One-Sample Statistics N Preference for Wine Cooler Mean 136 3.55 Std. Deviation Std. Error Mean 2.135 .183 One-Sample Test Test Value = 5.2 t Preference for Wine Cooler -9.003 df 135 Sig. (2-tailed) Mean Difference .000 -1.649 95% Confidence Interval of the Difference Lower Upper -2.01 -1.29 WEU students differed from the average college student in terms of their preference for wine coolers (t = -9.003, p ≤ .000). Question 7: The Director of Greek Life (and former party animal) believes that people who belong to a fraternity or sorority go out on average more nights per week than their non-Greek classmates. In one sentence, identify if there is a difference in the number of nights a student goes out on average between Greeks and non-Greeks (be sure to provide the appropriate statistics and p-values). T-Test Group Sta tisti cs Belong to fraternity or sorority? Yes N On average, how many nights do you go out eac h week? No Mean St d. Deviat ion St d. Error Mean 49 1.96 1.020 .146 86 1.49 .991 .107 Independent Samples Test Levene's Test for Equality of Variances F On average, how many nights do you go out each week? Equal variances as sumed Equal variances not ass umed .517 Sig. .473 t-test for Equality of Means t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower Upper 2.626 133 .010 .471 .179 .116 .825 2.606 97.600 .011 .471 .181 .112 .829 There is a significant difference in the number of nights a student goes out per week between Greeks and non-Greeks (t = 2.626, p ≤ .010). Question 8: Students were asked their level of agreement or disagreement with the statements I am a party animal and I am religious. The chair of the Religion Department believes that students who state they are religious would not also say they are party animals. In one sentence, identify if the chair’s position is indeed true (be sure to provide the appropriate statistics and p-values). T-Test Paired Samples Statistics Pair 1 Mean 2.10 3.69 I am a party animal I am religious N Std. Deviation .900 1.054 162 162 Std. Error Mean .071 .083 Paired Samples Correlations N Pair 1 I am a party animal & I am religious Correlation 162 .131 Sig. .096 Paired Samples Test Paired Differences Mean Pair 1 I am a party animal - I am religious -1.586 Std. Deviation Std. Error Mean 1.293 .102 95% Confidence Interval of the Difference Lower Upper -1.787 -1.386 t -15.613 df Sig. (2-tailed) 161 The chair’s assertion would be true as there is a significant difference in a student’s level of agreement/disagreement with “I am a party animal” and “I am religious” (t = -15.613, p ≤ .000). .000 Question 9: The average WEU takes 14 credit hours per semester. The advising coordinator, Ms. Schedule, believes that there is a difference in the number of credit hours taken by an individual’s work status. In one sentence, identify whether or not this difference exists (be sure to provide the appropriate statistics and p-values). If there are any significant differences, what are they? Oneway De scri ptives Number of credit hours enrolled this semester N Do not work W ork less than 20 hours per week W orks 20 hours or more per week Total 95% Confidenc e Int erval for Mean Lower Bound Upper Bound 14.07 15.66 37 Mean 14.86 St d. Deviat ion 2.371 St d. Error .390 Minimum 9 Maximum 19 94 15.20 2.367 .244 14.72 15.69 3 20 30 13.37 1.938 .354 12.64 14.09 9 17 161 14.78 2.384 .188 14.41 15.15 3 20 ANOVA Number of credit hours enrolled this semester Between Groups W ithin Groups Total Sum of Squares 76.941 832.451 909.391 df 2 158 160 Mean Square 38.470 5.269 F 7.302 Sig. .001 Post Hoc Tests Multiple Compari sons Dependent Variable: Number of credit hours enrolled this semester Bonferroni (I) Work classification hours work ed each week Do not work W ork less than 20 hours per week W orks 20 hours or more per week (J) Work classificat ion hours work ed each week W ork less than 20 hours per week W orks 20 hours or more per week Do not work W orks 20 hours or more per week Do not work W ork less than 20 hours per week Mean Difference (I-J) St d. E rror Sig. 95% Confidenc e Int erval Lower Bound Upper Bound -.337 .445 1.000 -1. 42 .74 1.498* .564 .026 .13 2.86 .337 .445 1.000 -.74 1.42 1.835* .481 .001 .67 3.00 -1. 498* .564 .026 -2. 86 -.13 -1. 835* .481 .001 -3. 00 -.67 *. The mean differenc e is significant at the .05 level. There is a significant difference in the number of credits students take each semester by work status (F = 7.302, p ≤ .001). There were significant differences between those who worked 20 hours or more each week (mean credit hours taken = 13.37) and students who did not work (mean credit hours = 14.86) and students who work less than 20 hours each week (mean credit hours = 15.20).