Ten randomly selected people took an IQ test A, and next day they took a very si
ID: 3249826 • Letter: T
Question
Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. 1. Consider (Test A - Test B). Use a 0.01 significance level to test the claim that people do better on the second test than they do on the first. (a) What test method should be used? A. Two Sample z B. Two Sample t C. Matched Pairs (b) The test statistic is (c) The critical value is (d) Is there sufficient evidence to support the claim that people do better on the second test? A. Yes B. No Construct a 991% confidence interval for the mean of the differences. Again, use (Test A - Test B).Explanation / Answer
Answer:
a).
C. matched pairs
b). test statistic = -0.6512
c). critical value = -2.8214
d). No.
Paired t Test
Data
Hypothesized Mean Difference
0
Level of significance
0.01
Intermediate Calculations
Sample Size
10
DBar
-0.6000
Degrees of Freedom
9
SD
2.9136
Standard Error
0.9214
t Test Statistic
-0.6512
Lower-Tail Test
Lower Critical Value
-2.8214
p-Value
0.2656
Do not reject the null hypothesis
2.)
99% CI for mean of the difference=(-3.5942, 2.3942)
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
2.913569784
Sample Mean
-0.6
Sample Size
10
Confidence Level
99%
Intermediate Calculations
Standard Error of the Mean
0.921351664
Degrees of Freedom
9
t Value
3.2498
Interval Half Width
2.9942
Confidence Interval
Interval Lower Limit
-3.5942
Interval Upper Limit
2.3942
Paired t Test
Data
Hypothesized Mean Difference
0
Level of significance
0.01
Intermediate Calculations
Sample Size
10
DBar
-0.6000
Degrees of Freedom
9
SD
2.9136
Standard Error
0.9214
t Test Statistic
-0.6512
Lower-Tail Test
Lower Critical Value
-2.8214
p-Value
0.2656
Do not reject the null hypothesis
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.