Retention Test Scores A random sample of non-English majors at a selected colleg

Question

Retention Test Scores A random sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a hundred point quiz on each novel. The test results are shown. At alpha = 0.05, can it be concluded that the book scores are higher than the DVD scores? (b) Find a 95% Confidence Interval for the true difference in the means.

Explanation / Answer

The R code is:

book <- c(90,80,90,75,80,90,84)
dvd <- c(85,72,80,80,70,75,80)
t.test(book, dvd)

The output is

> t.test(book, dvd)

   Welch Two Sample t-test

data: book and dvd
t = 2.2074, df = 11.78, p-value
= 0.0479
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
0.07330168 13.35526974
sample estimates:
mean of x mean of y
84.14286 77.42857

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