To study the effectiveness of a speed-reading course, eighteen people participat
ID: 3432262 • Letter: T
Question
To study the effectiveness of a speed-reading course, eighteen people participated in a study. Prior to taking the course, the reading speed (in words per minute) was recorded for each participant. The eighteen participants then took the speed-reading course and their reading speed was again measured after the course
a) What are the null and alternative hypotheses to test if reading speed increases, on the average, as a result of the course?
b) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
To study the effectiveness of a speed-reading course, eighteen people participated in a study. Prior to taking the course, the reading speed (in words per minute) was recorded for each participant. The eighteen participants then took the speed-reading course and their reading speed was again measured after the course a) What are the null and alternative hypotheses to test if reading speed increases, on the average, as a result of the course? b) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.Explanation / Answer
a) What are the null and alternative hypotheses to test if reading speed increases, on the average, as a result of the course?
Let mu_d be the mean difference between before course and after course
Null hypothesis:mu_d =0
Alternative hypothesis: mu_d>0
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b) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
It is a right-tailed test.
Since the p-value of t test is 0.0088 which is less than 0.05, we reject the null hypothesis.
So we can conclude that reading speed increases, on the average, as a result of the course
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