Homework Sourse15 points The Survey of Study Habits and Attitudes SSHA is a
(1.5 points) 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 a different attitude toward school gives the SSHA to random sample of 25 students who are at least 30 years of age. Their mean score is =127.8. Assuming SSHA scores are approximately Normally distributed, carry out a significant test that shows the teachers particular interest.
(a) Fill in the blanks below to give the hypotheses:
_______ _____ _______
_______ _____ _______
(b) You will use the test statistic, . Why?
(c) Replace the variables in your formula in part (b) with the numbers for this particular significance test.
(d) Find the P-value
(e) Give your conclusion as it relates to this teacher’s interest.
please write out steps, thank you!
Solution
a)
Formulating the null and alternative hypotheses,
Ho: u = 115
Ha: u =/ 115 [ANSWER]
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B)
We will use t statistic as n < 30.
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c)
Getting the test statistic, as
X = sample mean = 127.8
uo = hypothesized mean = 115
n = sample size = 25
s = standard deviation = 30
Thus, t = (X - uo) * sqrt(n) / s = 2.133333333 [ANSWER, TEST STATISTIC]
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D)
As we can see, this is a two tailed test.
df = n - 1 = 24
Thus, the p value is
p = 0.043322718 [ANSWER]
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E)
As P < 0.05, we REJECT THE NULL HYPOTHESIS.
There is significant evidence that older students have a different attitude toward school.
