Question

A tutoring agency claims that its 12-week reading program significantly increases the reading speed of its pupils. The following table gives the time taken for eight students to read an excerpt before and after taking the program.

Before 12 14 13 16 12 16 18 20

After 11 12 11 13 10 12 14 15

Answer 1

Claim: 12-week reading program significantly increases the reading speed of its pupils.

The null and alternative hypothesis is

Level of significance = 0.05

Before	After	Difference
12	11	1
14	12	2
13	11	2
16	13	3
12	10	2
16	12	4
18	14	4
20	15	5
	Total	23

Sample size = n = 8

Sample mean of difference = = 2.875

Sample standard deviation of difference = = 1.3562

Test statistic is

Degrees of freedom = n - 1 = 8 - 1 = 7

Critical value = 2.365 ( From t table)

Test statistic > critical value we reject null hypothesis.

Conclusion: 12-week reading program significantly increases the reading speed of its pupils.