Q2) Paired-Samples t TestA research project has been tracking the health and cognitive functions of the elderly population inArizona. The table below shows the memory test scores from some elderly residents, tested firstwhen they were 65 years old and again when they were 75 years old. The researcher wants toknow if there is a significant decline in memory functions from age 65 to age 75 based on thissample. In other words, it is hypothesized that the memory score at age 75 is significantly lowerthan the memory score at age 65. So the null and alternative hypotheses should be directional.The alpha level was set at a = .05 for a one-tailed hypothesis test.Memory scoreSubject12345678910Age 6562955590987373718266Age 7565885689907570708062 a. Identify the dependent variable (this is the outcome measure) and the independent variable(this is what differentiates the two groups of data points being compared).b. Explain why a paired-samples t test is appropriate for answering this research question.c. What would be the null and alternative hypotheses in both words and symbol notations?d. Calculate the difference score by subtracting each "Age 65" score from the associated "Age 75"score for each subject. Fill in the column in the table below for "difference score."Hint: The difference score is calculated as (age 75 minus age 65), so a negative number indicates adecline in memory performance, which is the researcher's hypothesis.Subject12345678910Difference score(Age 75 minus Age 65)e. Calculate the mean and standard error from the sample of difference scores.f. Calculate the t statistic for the sample of difference scores.g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees offreedom.h. Using jamovi, what is the corresponding p value for the t statistic?i. Compare the t statistic with the critical t value. Is the calculated t statistic more extreme or lessextreme than the critical t value? Compare as well the p value with the alpha. Based on thesecomparisons, do we "reject" or "fail to reject" the null hypothesis?k. Interpret the result in 1 sentence to answer the research question.1. Supporting Screenshot

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Answered: a. Identify the dependent variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q18. Why do we conduct post hoc analysis in ANOVA? a. To make a comparison on individual adjusted R-squares B. To make a comparison of the individual group meansC. To make a comparison of the individual group scatter plots D. None of the above
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