Subject Code : | STA100 |
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Directions
Use R to analyze the questions below.
Additionally,
Questions
I. You will be using the dataset DRP.csv (or DRP.txt). Results of an experiment to test whether directed reading activities in the classroom help elementary school students improve aspects of their reading ability. A treatment class of 21 third- grade students participated in these activities for eight weeks, and a control class of 23 third-graders followed the same curriculum without the activities. After the eight-week period, students in both classes took a Degree of Reading Power (DRP) test which measures the aspects of reading ability that the treatment is designed to improve. The first column is the group (treatment or control), and the second is the DRP score (the higher the better).
(a) Find the lower bound and the upper bound for the 95% confidence interval for the difference in average DRP score.
(b) Interpret the confidence interval in terms of the problem.
(c) If the experimenter is interested in if the treatment group has a higher average than the control group, find the test-statistic. Interpret this value.
(d) If the experimenter is interested in if the treatment group has a higher average than the control group, find the p-value. Interpret this value.
(e) Do we fail to reject or reject the null hypothesis if α = 0.05? What is your conclusion?
II. On Canvas under Files, you will find a dataset IQ.csv. It has two columns, the first of which denotes what major a student is from (A, B, or C). The second is the IQ measured by the Stanford–Binet Intelligence Scales. The goal is to determine if this IQ measure differs on average between majors.
(a) Provide the ANOVA table.
(b) Find the value of the F test statistic and the p-value. Interpret the p-value.
(c) Do we fail to reject or reject the null hypothesis?
(d) State your conclusion in terms of the problem.
(e) Plot a normal probability plot of the IQ scores. Does this data appear to be approximately normally distributed?
You may use another method to show Normality to support your answer.
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