Statistics Final Exam Fully Solved 2026/27

Which major assumption of the t-test deals with the amount of variability in each group? - CORRECT ANSWER Variances are equal "independent" means that the groups are _______ - CORRECT ANSWER Not related in any way The t test for independent means is used when you are looking at the difference in average scores of one or more variables between ______ groups that are ______ of one another - CORRECT ANSWER Two, independent The t test for independent means is used when each group is tested ____ - CORRECT ANSWER Only two groups in total The t test for independent means is used when there are _____ - CORRECT ANSWER Only two groups in total If you want to examine the difference between the average scores of three unrelated groups, which of the following statistical techniques should you select - CORRECT ANSWER Analysis of variance In the formula that computes a t value, what does n1 represent? - CORRECT ANSWER Number of participants for group one In the formula that computes a t value, what does s1^2 represent - CORRECT ANSWER Variance for group one In the formula that computes a value, what does x bar 1 represent - CORRECT ANSWER The mean of group 1 The null hypothesis in an independent-samples t test would be represented as - CORRECT ANSWER Ho: x1 = x2 In the t test for independent samples, the actual statistical test is ___ - CORRECT ANSWER Nondirectional The research hypothesis in an independent samples t test would be represented as __- - CORRECT ANSWER H1: x bar one is not equal to x bar two In order to be 95% confident you have not committed a type 1 error, at what level should you set your p-value - CORRECT ANSWER 0.05 In order to compute the test statistic or t value, you must first approximate the sample size by calculating the _____________. - CORRECT ANSWER Degrees of freedom The t test for independent samples assumes which of the following - CORRECT ANSWER Scores are independent When examining group difference where no direction of the difference is specified, which of the following is used - CORRECT ANSWER Two tailed test When examining group difference where the direction is specified, which of the following is used - CORRECT ANSWER One tailed test The test statistic calculated by the statistical procedure selected is known as the ________ - CORRECT ANSWER Obtained value In order to determine whether or not you will reject the null hypothesis, the test statistic must be compared against the ______ - CORRECT ANSWER Critical value If the obtained value is greater than the critical value, what should you do? - CORRECT ANSWER Reject the null hypothesis If the obtained value is less than the critical value, what should you do? - CORRECT ANSWER Accept the null hypothesis Under the normal curve, if the obtained value falls to the left of the critical value, what percent of the normal curve did it fall under? - CORRECT ANSWER 95% Under the normal curve, if the obtained value falls to the right of the critical value, what percent of the normal curve did it fall under? - CORRECT ANSWER 5% If one group had a mean of 2.3, and the second group had a mean of 2.4, and this was statistically significant, this result could be described as ________________________. - CORRECT ANSWER Significant but not meaningful Imagine one group had a mean of 5.7 and the second group had a mean of 12.4. This difference was statistically significant, so this result could be described as: - CORRECT ANSWER Significant and meaningful If there is no difference between the distributions of scores in two groups, your size will be equal to ______ - CORRECT ANSWER 0 Imagine you are looking up a critical t value in a t table. If your observed t value for the degrees of freedom lies between two critical values in the table, to be conservative you would select - CORRECT ANSWER The larger value If your obtained t value is 7.14 and the critical value is 6.10, what decision should you make? - COR