Analysis #5

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School

Marywood University *

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MISC

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Statistics

Date

Jun 6, 2024

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docx

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Uploaded by ProfessorNewtMaster1100

Ashley Chrysler Analysis # 5 (a) Do females and males differ in current GPA? Females current GPA (3.333) does significantly differ from males (3.023). The two-sided p value of 0.004 is less than an alpha value of 0.05, meaning the null hypothesis should be rejected and t = -3.030 falls in the region of rejection. t(48) = -3.030, p = 0.004. Group Statistics gender of student N Mean Std. Deviation Std. Error Mean student's current gpa males 26 3.023 .3983 .0781 females 24 3.333 .3171 .0647 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t student's current gpa Equal variances assumed .370 .546 -3.030 Equal variances not assumed -3.058 Independent Samples Test t-test for Equality of Means df Significance One-Sided p Two-Sided p student's current gpa Equal variances assumed 48 .002 .004 Equal variances not assumed 47.023 .002 .004 Independent Samples Test t-test for Equality of Means Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower student's current gpa Equal variances assumed -.3103 .1024 -.5161 Equal variances not assumed -.3103 .1015 -.5143 Independent Samples Test t-test for Equality of Means 95% Confidence Interval of the Difference Upper

student's current gpa Equal variances assumed -.1044 Equal variances not assumed -.1062 (b) Do males and females differ in the number of hours they watch television each day? The mean number of hours males watch television each day (13.04) is not significantly different from the number of hours females watch television each day (10.83). The two-sided p value of 0.204 is greater than an alpha value of 0.05, meaning the null hypothesis should be retained and t = 1.286 falls in the region of acceptance. t(48) = 1.286, p = 0.204 Group Statistics gender of student N Mean Std. Deviation Std. Error Mean amount of tv watched per week males 26 13.04 6.328 1.241 females 24 10.83 5.746 1.173 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t amount of tv watched per week Equal variances assumed .821 .369 1.286 Equal variances not assumed 1.291 Independent Samples Test t-test for Equality of Means df Significance One-Sided p Two-Sided p amount of tv watched per week Equal variances assumed 48 .102 .204 Equal variances not assumed 47.990 .101 .203 Independent Samples Test t-test for Equality of Means Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower amount of tv watched per week Equal variances assumed 2.205 1.714 -1.242 Equal variances not assumed 2.205 1.707 -1.228

Independent Samples Test t-test for Equality of Means 95% Confidence Interval of the Difference Upper amount of tv watched per week Equal variances assumed 5.652 Equal variances not assumed 5.638 (c) Is the positive evaluation of the students’ institutions signifigantly different than the positive evaluation of the students’ majors? The mean positive evaluation of students’ institutions (3.39) is not significantly different from the mean positive evaluation of students’ majors (3.27). The two-sided p value of 0.182 is greater than an alpha value of 0.05, meaning the null hypothesis should be retained and t = 1.353 falls in the region of acceptance. t(49) = 1.353, p = 0.182 Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 positive evaluation, institution 3.39 49 .953 .136 positive evaluation, major 3.27 49 .953 .136 Paired Samples Test Paired Differences Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference Lower Pair 1 positive evaluation, institution - positive evaluation, major .122 .634 .091 -.060 Paired Samples Test Paired Differences t df Significance 95% Confidence Interval of the Difference One-Sided p Two-Sided p Upper Pair 1 positive evaluation, institution - positive evaluation, major .304 1.353 48 .091 .182 (d) Is the positive evaluation of the students’ institutions significantly different than the positive evaluation of the students’ social lives? The mean positive evaluation of students’ institutions (3.38) is not significantly different from

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the mean positive evaluation of students’ social lives (3.10). The two-sided p value of 0.056 is greater than an alpha value of 0.05, meaning the null hypothesis should be retained and t = 1.958 falls in the region of acceptance. t(49) = 1.958, p = 0.056 Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 positive evaluation, institution 3.38 50 .945 .134 positive eval, social life 3.10 50 1.182 .167 Paired Samples Test Paired Differences Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference Lower Pair 1 positive evaluation, institution - positive eval, social life .280 1.011 .143 -.007 Paired Samples Test Paired Differences t df Significance 95% Confidence Interval of the Difference One-Sided p Two-Sided p Upper Pair 1 positive evaluation, institution - positive eval, social life .567 1.958 49 .028 .056 (e) Is the number of hours students study significantly different from the number of hours they watch television? Conduct this analysis separately for females and males. What do you conclude? The number of hours male students study per week is not significantly different from the number of hours they watch television. The two-sided p value of 0.895 is greater than an alpha value of

0.05, meaning the null hypothesis should be retained and t = 0.133 falls in the region of acceptance. t(25) = 0.133, p = 0.895 The number of hours female students study per week is significantly different from the number of hours they watch television. The two-sided p value of 0.003 is less than an alpha value of 0.05, meaning the null hypothesis should be rejected and t = 3.271 falls in the region of rejection. t(23) = 3.271, p = 0.003 Paired Samples Statistics gender of student Mean N Std. Deviation Std. Error Mean males Pair 1 hours of study per week 13.35 26 7.272 1.426 amount of tv watched per week 13.04 26 6.328 1.241 females Pair 1 hours of study per week 18.08 24 8.802 1.797 amount of tv watched per week 10.83 24 5.746 1.173 Paired Samples Test gender of student Paired Differences Mean Std. Deviation Std. Error Mean males Pair 1 hours of study per week - amount of tv watched per week .308 11.767 2.308 females Pair 1 hours of study per week - amount of tv watched per week 7.250 10.860 2.217 Paired Samples Test gender of student Paired Differences t df 95% Confidence Interval of the Difference Lower Upper males Pair 1 hours of study per week - amount of tv watched per week -4.445 5.060 .133 25 females Pair 1 hours of study per week - amount of tv watched per week 2.664 11.836 3.271 23 Paired Samples Test gender of student Significance One-Sided p Two-Sided p males Pair 1 hours of study per week - amount of tv .447 .895