16. Weinstein, McDermott, and Roediger (2010) report that students who were give
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Question
16. Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychol- ogy class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was = 73.4 but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one- tailed test with = .01.Explanation / Answer
Given that,
population mean(u)=73.4
standard deviation, =8.4
sample mean, x =78.3
number (n)=16
null, Ho: =73.4
alternate, H1: >73.4
level of significance, = 0.01
from standard normal table,right tailed z /2 =2.326
since our test is right-tailed
reject Ho, if zo > 2.326
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 78.3-73.4/(8.4/sqrt(16)
zo = 2.33333
| zo | = 2.33333
critical value
the value of |z | at los 1% is 2.326
we got |zo| =2.33333 & | z | = 2.326
make decision
hence value of | zo | > | z | and here we reject Ho
p-value : right tail - ha : ( p > 2.33333 ) = 0.00982
hence value of p0.01 > 0.00982, here we reject Ho
ANSWERS
---------------
null, Ho: =73.4
alternate, H1: >73.4
test statistic: 2.33333
critical value: 2.326
decision: reject Ho
p-value: 0.00982
we have evidence that answering question significnatly higher exam scores
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