Attitudes toward school. The Survey of Study Habits and Attitudes (SSHA) is a ps
ID: 3179300 • Letter: A
Question
Attitudes toward school. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115. and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is x = 127.8. Assuming that sigma = 30 for the population of older students, carry out a test of H_0:mu = 115 H_a: mu > 115 Report the P-value of your test, and state your conclusion clearly. Your test in part (a) required two important assumptions in addition to the assumption that the value of sigma is known. What are they? Which of these assumptions is most important to the validity of your conclusion in Part (a)?Explanation / Answer
Given that,
population mean(u)=115
sample mean, x =127.8
standard deviation, s =30
number (n)=25
null, Ho: <115
alternate, H1: >115
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.711
since our test is right-tailed
reject Ho, if to > 1.711
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =127.8-115/(30/sqrt(25))
to =2.133
| to | =2.133
critical value
the value of |t | with n-1 = 24 d.f is 1.711
we got |to| =2.133 & | t | =1.711
make decision
hence value of | to | > | t | and here we reject Ho
p-value :right tail - Ha : ( p > 2.1333 ) = 0.02166
hence value of p0.05 > 0.02166,here we reject Ho
ANSWERS
---------------
null, Ho: =115
alternate, H1: >115
test statistic: 2.133
critical value: 1.711
decision: reject Ho
p-value: 0.02166
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