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# Paired Samples T-Test and Descriptive Statistics

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This article discusses various statistical tests such as paired samples t-test, chi-square test of independence, and descriptive statistics. It provides examples and explains how to interpret the results of these tests. The subject matter includes the influence of cannabinoids on human sweetness perception and the difference in mean and median between two groups. The course code, course name, and college/university are not mentioned.
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Question 1:Paired Samples StatisticsMeanNStd. DeviationStd. Error MeanPair 1No THC67.9800508.739991.23602Post THC72.04005010.404001.47135Paired Samples CorrelationsNCorrelationSig.Pair 1No THC & Post THC50.104.474Paired Samples TestPaired DifferencestdfSig. (2-tailed)MeanStd.DeviationStd. ErrorMean95% Confidence Interval ofthe DifferenceLowerUpperPair 1No THC - Post THC-4.0600012.875241.82083-7.71910-.40090-2.23049.030From the data we found that comparing treatments, Mean Sweetness perception scoreswere (higher) to a degree for the Post-THC condition (M = 72.0400, SD = 10.40400) incomparison to the Baseline condition (M = 67.9800, SD = 8.73999) group.
Question 2:CorrelationsNo THCPost THCNo THCPearson Correlation1.104Sig. (2-tailed).474N5050Post THCPearson Correlation.1041Sig. (2-tailed).474N5050I want to study the dependency of No THC and Post THC. There is no significant linearrelationship between No THC and Post THC with p-value > 0.05 and low value of correlationcoefficient. Since I am applying paired t test I am keen to know about the linear relationshipbetween No THC and Post THC. Question 3:To examine the influence of cannabinoids on human sweetness perception, a paired-samples t-test was performed, t(-2.230, df=49 p = .015, r=.104), suggesting that post-THCsweetness perception (did) appear enhanced compared to the no-THC condition.
Question 4:Consider the null hypothesis, ho: there is no significant difference in the mean betweenFixed (FW.pick) and decreasing (DW.pick). This is tested against alternative hypothesis, h1: themean for Fixed (FW.pick) is more than that of decreasing (DW.pick). The histogram for FW.pick and DW.pick are given below.The mean for Fixed (FW.pick) and decreasing (DW.pick) are observed to lie between 0 –50 and 40 – 60. Hence I expect that there is not much significant difference in the mean betweenFixed (FW.pick) and decreasing (DW.pick). Since data is dependent I apply paired t test. the output is given below. Paired Samples StatisticsMeanNStd. DeviationStd. Error MeanPair 1values.FWnpick54.445053.3397.543values.DWnpick61.765032.7074.626Paired Samples CorrelationsNCorrelationSig.Pair 1values.FWnpick & values.DWnpick50.451.001Paired Samples Test

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