In: Statistics and Probability
TOPIC: Hypothesis Testing (Statistic Question)
In 2015, I taught my first semester at Yale University, a standard deviation was calculated based on the scores on the SDF, the question was asking whether or not I encourage student questions in my classroom. The standard deviation for the 2015 class (economics class) was 1.03 with 31 responses. In 2018, the standard deviation for that same question came out to be 0.88 with 24 responses in my calculus class. [2015 = economics class, 2018 = calculus class] Questions are below.
(a). Please test the hypothesis that the Standard Deviation of the 2015 class on this question is larger than it is for the 2018 class at a significance level of 0.05. Please do problem by hand and find the correct critical value using the R Studio (software program). If you statisticians are familiar with that software.
(b). Please test the hypothesis that the Standard Deviation of the 2015 class on this question is different than it is for the 2018 class at a significance level of 0.05. Please do problem by hand and find the correct critical value using the R Studio (software program).
THANK YOU CHEGG EXPERTS