Quiz: Paired Difference t-test

For a matched pair t-test of H0: μd = 0 vs. Ha: μd ≠ 0, a sample with n = 51 has the mean and standard deviation of the differences 1.8 and 3.9 respectively. Use this data for questions 1 through 4.

1. What is the value of the test statistic?
a. 0.46
b. 3.30
c. 23.54
2. What is the appropriate degree of freedom?
a. 50
b. 51
c. 101
3. What is the p-value?
a. between 0.0005 and 0.001
b. between 0.001 and 0.002
c. between 0.0025 and 0.005
4. What is the conclusion?
a. accept H0
b. fail to reject H0
c. reject H0

The table below shows scores on a vocabulary test before using a new study guide and tests on a similar vocabulary test after using the study guide for a random sample of 10 students. Use this table for questions 5 through 10.

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5. What is the mean difference in scores (after – before)?
a. 0.3
b. 1.0
c. 1.3
6. What is the sample standard deviation of difference in scores (after – before)?
a. 1.3
b. 2.627
c. 6.9
7. What is the standard error of the sampling distribution of difference in scores (after – before)?
a. 0.690
b. 0.832
c. 2.627
8. A test of H0: μd = 0 vs. H0: μd > 0 is conducted. What is the test statistic?
a. 0.49
b. 1.57
c. 1.88
9. A test of H0: μd = 0 vs. H0: μd > 0 is conducted. What is the p-value?
a. between 0.05 and 0.10
b. between 0.10 and 0.20
c. greater than 0.25
10. A test of H0: μd = 0 vs. H0: μd > 0 is conducted. Is there statistical evidence, at a 0.10 significance level, that the mean score increased after using the study guide?
a. it cannot be determined
b. no
c. yes

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