Exam 3 Study Guide

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Vernon College *

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MISC

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Statistics

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Feb 20, 2024

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docx

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4

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A matched-subjects study and an independent-measures study both produced a t statistic with df = 10. How many individuals participated in each study? 22 for matched-subjects and 12 for independent-measures A random sample with n = 20 scores has df = 19. True A repeated-measures study and an independent-measures study both produce a t statistic with df = 20. The repeated-measures study used more subjects than the independent-measures study. False A repeated-measures study comparing two treatments with n = 4 participants produces MD = 2 and SS = 75 for the difference scores. What is the estimated standard error for the sample mean difference? 2.5 A repeated-measures test usually is more likely to detect a real treatment effect than an independent-measures test because the repeated-measures design typically has a smaller variance and a smaller estimated standard error. True A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study? 11 A research report describing the results from a repeated-measures t test states that "t(22) = 1.71, p > .05." From this report, what was the outcome of the hypothesis test? Fail to reject the null hypothesis with a sample of n = 23 participants A research study produces a t statistic with df = 14. For this study, which of the following designs would require a total of 30 participants? A matched-subjects design A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the 10 participants in treatment A is 4 points higher than the mean for the 10 participants in treatment B and the data produce t = 2.095, what decision should be made? With α = .05, reject H0 for a one-tailed test but fail to reject for a two-tailed test A researcher reports an independent-measures t statistic with df = 30. If the two samples are the same size (n1 = n2), then how many individuals are in each sample? 16 A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants. True A researcher reports t(12) = 2.86, p < .05 for a repeated-measures research study. How many individuals participated in the study? n=13 A researcher reports t(22) = 5.30, p < .01 for an independent-measures experiment. How many individuals participated in the entire experiment? 24 A researcher selects a sample from a population with = 30 and uses the sample to evaluate the effect of a treatment. After treatment, the sample has a mean of M = 32 and a variance of s2 = 6. If Cohen's d is used to measure the size of the treatment effect, which of the following would have no effect on the value of Cohen's d? Increase the number of individuals in the sample A researcher selects a sample from a population with a mean of = 40 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, which of the following is the correct statement of the null hypothesis for a one-tailed test? μ= > 40 A researcher selects a sample from a population with a mean of μ = 40 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, which of the following is the correct statement of the null hypothesis for a one-tailed test? μ = or >40
A researcher uses a repeated-measures design to compare individuals' performance before treatment with their performance after treatment. If all of the participants show improved performance of 8 or 9 points after treatment, what should the researcher find? The variance of the difference scores is near zero. A researcher uses a repeated-measures study to compare two treatment conditions with a set of 20 scores in each treatment. What would be the value of df for the repeated-measures t statistic? df=19 A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and produces a t statistic of t = 2.14. For a two-tailed hypothesis test with α = .05, what is the correct statistical decision for this sample? It is impossible to make a decision about H0 without more information. A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s 2 = 16. Based on this information, what is the value of Cohen's d ? d=0.50 A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d? d=0.50 A sample is selected from a population with μ = 70, and a treatment is administered to the sample. After treatment, the sample mean is M = 74, and Cohen's d is d = 1.00. What is the value of the sample variance? s2 = 16 A sample is selected from a population with μ = 70, and a treatment is administered to the sample. After treatment, the sample mean is M = 74, and Cohen's d is d = 1.00. What is the value of the sample variance? s2=16 A sample of n = 4 scores has SS = 60. What is the variance for this sample? 20 A sample of n = 4 scores with SS = 48 has a variance of s2 = 16 and an estimated standard error of 2. True A sample of n = 9 scores has a variance of s2 = 36. What is the estimated standard error for the sample mean? 2 Although a repeated-measures study measures two scores for each participant, the sample mean and variance are computed using only one score for each participant. True An independent-measures research study uses a total of 18 participants to compare two treatment conditions. If the results are used to construct a 90% confidence interval for the population mean difference, then the t values will be ±1.746. True An independent-measures study produces t(10) = 3.00, p < .05. For this study, if effect size is measured with r2, then r2 = 3/13. False As the sample size is increased, the distribution of t statistics becomes flatter and more spread out. False Compared to a z-score, a hypothesis test with a t statistic requires less information from the population. True Confidence intervals with the independent-measures t statistic are used to estimate how much difference there is between two population means. True For a repeated-measures study comparing two treatment conditions, a researcher obtains a sample of n = 9 difference scores with a mean of MD = 4 and a variance of s2 = 36. What is the value for the repeated-measures t statistic for these data? 4/2
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