Q1. T Test
sample
Rosenthal and Jacob informed classroom teachers that some of their
students shows unusual potential for intellectual gains. Eight months later the
students identified to teachers as having potential for unusual intellectual
gains showed significantly greater gains performance on a test said to measure
IQ than did children who were not so identified. Below are the data for the
students in the first grade:
Table 1: Scores for first graders
Experimental Comparison
35 2
40 27
12 38
15 31
21 1
14 19
46 1
10 34
28 3
48 1
16 2
30 3
32 2
48 1
31 2
22 1
12 3
39 29
19 37
25
2
Q2. One way anova
sample
The table below shoes the lifetime under controlled conditions, in
hours in excess of 1000 hours, of samples of 60 W electric light bulbs of three
different brands.
Brand
1 2 3
16 18 26
15 22 31
13 20 24
21 16 30
15 24 24
Assuming all lifetimes to be normally distributed with common
variance, test, at the 1% significance level, the hypothesis is that there is
no difference between the three brands with respect to mean lifetime.
Q3. Chi square sample
In the dataset “Popular Kids,” students in grades 4-6
were asked whether good grades, athletic ability, or popularity was most
important to them. A two-way table separating the students by grade and by
choice of most important factor is shown below:
Grade
Goals |
4 5 6 Total
———————————
Grades |
49 50 69
168
Popular | 24 36 38
98
Sports |
19 22 28
69
———————————
Total |
92 108
135 335
