1218 The article An Investigation of High School Preparation

12.18 The article \'\'An Investigation of High School Preparation as Predictors of the Cultural Literacy of Developmental, Nondevelopmental and ESL College Students\'\' (RTDE) reported on a study that examined the cultural literacy of developmental, nondevelopmental, and English as a Second Language (ESL) college freshmen. a. How many student scores were in the samples? b. The students were divided into how many groups? c. Given the SS and df values, verify the MS, the calculated F-value, and the p-value for each figure. d. Do the statistics in the first table show that the total scores were different for the groups involved? Explain. e. the statistics in the second table show that the foreign-language preparation scores were different for the groups involved? Explain.

Solution

a.
df total = 119
119+1 = 120 student scores were in the sample

b.
df group = 2
2+1 = 3 groups

c.
MS = SS/df
MS group = 0.95/2 = 0.475
MS Error = 28.75/117 = 0.246

F_value = MS group / MS error
= 0.475/0.246
= 1.93

test statistic,F = 1.93 with v1=2 and v2=117 so
P_value = 0.1493

[Similarly for first figure calculate]

d.
Since P_value < 0.05 hence reject H0
So, we conclude that total scores were different for the groups involved.

e.
Since P_value > 0.05 hence H0 can not be rejected
So, we can not conclude that foreign-language preparation scores were different for the groups involved.