SPSS Questions: (12 pts) A researcher would like to investigate whether or not t
ID: 3217425 • Letter: S
Question
SPSS Questions:
(12 pts) A researcher would like to investigate whether or not there is a difference in IQ between Psychology and History majors. She gathers 16 students (8 whose major is Psychology, and 8 whose major is history) and has them all take an IQ test to test this hypothesis using an alpha level of .01. Below are the data:
Psych
History
110
90
120
98
100
100
90
110
124
100
102
120
110
110
123
120
a.(2 pts) What is the appropriate test?
b.(1 pt) State the null hypothesis:
c.(1 pt) State the alternative hypothesis:
d.(2 pts) Find the critical value:
e.(2 pts) Calculate the obtained statistic:
f.(1 pts) Make a decision:
g.(1 pt) What does your decision mean?
h.(2 pts) Use SPSS to perform this same analysis and confirm the same result. Paste your output below:
Psych
History
110
90
120
98
100
100
90
110
124
100
102
120
110
110
123
120
Explanation / Answer
Below are the null and alternate hypothesis for this test:
H0: mu1 = mu2
H1: mu1 not equals to mu2
Here mu1 represents the mean IQ of population with major in Psycology and mu2 for History
The appropriate test to test this hypothesis is, 2 mean difference using t-test. As variances of two population are not same we use unpooled test.
As p-value is greater than the significance level of 0.01 we fail to reject the null hypothesis. This means there is no significant difference in the IQ level of two samples.
Same test is run using EXCEL, below are the results,
Input Given Data Sample 1 Sample 2 Name Psych History mean 109.875 106 Sample size 8 8 Std. dev. 12.12 10.80Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.