See attached worksheet please:
PSYZOS: CH. 10 WORKSHEET Computing a Paired Samples & independent Samples trTest Show your work for full credit. PAIR E D-SAM P LES TTESTS INHRUCTIONS: This example is from page 209 (data comes from Table 10.3 on page 203). Follow along and copy down the work for computing a pairedsamples t-test. 1. Calculate Descriptive Statistics (Mean & Standard Deviation): a. Calculate Group Means: You'll need the mean of both groups (1?, y) to start With, so calculate them if they are not already provided (however. for the test. they Will be provided). - Mean for Y (Before Day Camp): - Mean for X (After Day Camp): - Sample Size (number of pairs): in. Calculate Mean of Differences (5L For two-sample ttests the mean of interest is that of the differences in the pairs of scores & is represented usmg the symbol 5. c. Calculate Standard Deviation of the Differences (5D): Calcuiate the standard deviation of difference scores. 2. Calculate Effect Size: This is the mean difference divided by the standard deviation of the difference scores. 3. Calculate Condence Intervals: Above we calculated an average/mean for difference score (TD). Now, we caicuiate 95% confidence intervals (Cis) that show the range Within which we ate confident the true difference score falls. 3. First, we need to calcuiate 55 (i.e., the standard error of the difference between paired means). b. Then, we calculate the confidence intervals (Cls). 4. Perform a null-hypothesis signicance test (NHST) by calculating the t-statistic 8. comparing it to t-statistic for the appropriate alpha (p-value). a. Decide what the null and alternative hypotheses are. Remember, the nui! hypothesis is that the two groups are equivalent (H3321 = 322). The alternative hypothesis can be either onetailed (eitherj-l'lnf1 > Ear H111 > E) or two-tailed (Hg)?1 at 2). b. DeCIde on an alpha level. Alpha refers to the probability of making a Type 1 error (incorrectly rejecting the null hypothesis). We refer to this as the p-value (probability value) that we Will accept as statistically significant. In most cases, p less than .05 (p