gradyt_assignment 3

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University of West Alabama *

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506

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Statistics

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Feb 20, 2024

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doc

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Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio- economic characteristics. The superintendent collected the following information: School performance scores for superintendent’s district: 124 113 111 96 86 107 125 116 90 91 101 82 82 99 118 87 116 99 102 89 97 124 127 89 112 122 93 113 102 86 98 105 79 123 114 91 121 102 114 110 School performance scores for comparison district: 115 114 130 129 97 94 101 127 103 121 100 110 93 126 118 101 117 88 125 96 103 101 131 122 91 128 110 111 116 107 108 98 102 135 1. What are the mean and standard deviation for the superintendent’s district? M=103.90 SD=13.96 2. What are the mean and standard deviation for the comparison district? M=110.82 SD=13.22 3. State an appropriate null hypothesis for this analysis. There will be no statically significance difference between the superintendent’s district and the comparison district score. 4. What is the observed or computed value of t? T= -2.187 5. What is the value of the degrees of freedom that are reported in the output (equal variances assumed)? 72 6. What is the reported level of significance? . 033 7. Based on the reported level of significance, would you reject the null hypothesis? Yes 8. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of the Independent Samples T test. The results of the results of the independent samples t-test indicate a statistically significant difference t(72)= -2.187, p=.033 between the superintendent’s district (M=103.90 SD=13.96) and the comparison district (M=110.82 SD=13.22). The results suggest that the comparison district had an higher scoring.
scores N SD Mean t superintendent’s district 40 13.96 103.90 -2.178 comparison district 34 13.22 110.82 -2.178 Note: The table must be created in Word or created in Excel and then copy/pasted into this answer document. Screenshots or screen captures of the output from SPSS are not acceptable. Examples are provided here: http://bit.ly/ED506CourseTourAddHelp
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