One-Sample and Two-Independent-Sample t Tests in Statistics MCQ
One-Sample and Two-Independent-Sample t Tests in Statistics MCQ
1. Normality, random sampling, and independence are all assumptions for the one-sample but not the two-independent-sample t test.
Answer
Correct Answer:
False
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2. For the two-independent-sample t test, the degrees of freedom is (n1 − 1) + (n2 − 1).
Answer
Correct Answer:
True
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3. For the two-independent-sample t test, the degrees of freedom is (n1 − 1) + (n2 − 1).
Answer
Correct Answer:
True
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4. Eta-squared estimate will be higher than omega-square
Answer
Correct Answer:
True
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5. The computation and interpretation of proportion of variance differ with each of the t tests.
Answer
Correct Answer:
False
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6. The larger the value of the calculated t statistic, the more likely we are to reject the null hypothesis.
Answer
Correct Answer:
True
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7. The following summarizes t-test results from four independent experiments. The test that was significant and associated with a large effect size is:
Answer
Correct Answer:
T(60) = 4.05, p < .05, d = .88.
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8. A researcher reports that the mean difference in response time between 3-year-olds and 4-year-olds is 1.3 s, with a pooled sample variance equal to 2.45. What is the effect size for this test using estimated Cohen's d?
Answer
Correct Answer:
D = 0.83; large effect size
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9. A researcher reports that the mean difference in response time between 3-year-olds and 4-year-olds is 1.3 s, with a pooled sample variance equal to 2.45. What is the effect size for this test using estimated Cohen's d?
Answer
Correct Answer:
D = 0.83; large effect size
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10. Researchers at two different universities (A and B) compute a two-independent-sample t test. For both tests, the mean difference between the two groups is 15, but the standard error is smaller for Researcher Which test is more likely to result in a decision to reject the null hypothesis?
Answer
Correct Answer:
Researcher B
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11. Sophomores (n = 20) and juniors (n = 12) at a college rated a meal program that was newly introduce The mean likability ratings in each group were 3.5. If the null hypothesis is that there is no difference in likability ratings, then do likability ratings differ at a .05 level of significance?
Answer
Correct Answer:
No, this result is not significant, t(30) = 0.
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12. Sophomores (n = 20) and juniors (n = 12) at a college rated a meal program that was newly introduce The mean likability ratings in each group were 3.5. If the null hypothesis is that there is no difference in likability ratings, then do likability ratings differ at a .05 level of significance?
Answer
Correct Answer:
No, this result is not significant, t(30) = 0.
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13. A researcher is comparing stress levels in two groups working in different cities. If he decides to use an independent samples t test, we may assume:
Answer
Correct Answer:
The population variance is unknown.
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14. In computing effect sizes for a t test using both an eta-squared and an omega-squared effect size estimate, then ________ is a more conservative test.
Answer
Correct Answer:
ω2
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15. For a one-sample t test, all of the following are known except:
Answer
Correct Answer:
The population.
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16. A researcher selects a sample of 60 participants who are assigned to participate in a study with one group. What are the degrees of freedom for this test?
Answer
Correct Answer:
59
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17. The t distribution is similar to the z distribution in that:
Answer
Correct Answer:
It has “thicker” tails compared with the z distribution.
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18. The t distribution is similar to the z distribution in that:
Answer
Correct Answer:
It has “thicker” tails compared with the z distribution.
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19. The t distribution is similar to the z distribution in that:
Answer
Correct Answer:
It has “thicker” tails compared with the z distribution.
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20. When the population variance is unknown, the estimated standard error in the t statistic uses the ________ to estimate the population variance.
Answer
Correct Answer:
Sample variance
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21. Two-Independent-Sample t Test is a statistical procedure used to compare the_____ between two independent groups.
Answer
Correct Answer:
Mean difference
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22. An inferential statistic used to determine the number of standard deviations in a t distribution that a sample mean deviates from the mean value or mean difference stated in the null hypothesis is known as_____
Answer
Correct Answer:
All of these
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23. Treatment is any unique characteristic of a sample or any unique way that a researcher treats a sample in hypothesis testing.
Answer
Correct Answer:
True
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24. An inferential statistic used to determine the number of standard deviations in a t distribution that a sample mean deviates from the mean value or mean difference stated in the null hypothesis is known as_____
Answer
Correct Answer:
Both a and b
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25. T Observed is an inferential statistic used to determine the number of standard deviations in a t distribution that a sample mean deviates from the mean value or mean difference stated in the null hypothesis.
Answer
Correct Answer:
Both a and b
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26. A normal-like distribution with greater variability in the tails than a normal distribution because the sample variance is substituted for the population variance to estimate the standard error in this distribution is known as_____
Answer
Correct Answer:
Both
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27. A normal-like distribution with greater variability in the tails than a normal distribution because the sample variance is substituted for the population variance to estimate the standard error in this distribution is known as_____
Answer
Correct Answer:
Both
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28. Student’s t is a normal-like distribution with greater variability in the tails than a normal distribution because the sample variance is substituted for the population variance to estimate the standard error in this distribution.
Answer
Correct Answer:
True
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29. Proportion of Variance is a measure of effect size in terms of the_____ of variability in a dependent variable that can be explained or accounted for by a treatment.
Answer
Correct Answer:
Both
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30. Pooled Sample Variance is the _____ of sample variance of two samples.
Answer
Correct Answer:
Mean
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31. Pooled Sample Standard Deviation is computed by taking the _____ of the pooled sample variance.
Answer
Correct Answer:
Square root
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32. One-Sample t Test is specifically used to test hypotheses concerning the mean in a single population with an unknown variance.
Answer
Correct Answer:
True
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33. Independent Sample is a type of sample in which different participants are independently observed _____ time in each group.
Answer
Correct Answer:
One
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34. Estimated Standard Error for the Difference is an estimate of the standard deviation of a sampling distribution of _____ between two sample means.
Answer
Correct Answer:
Means differences
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35. Estimated Standard Error is an estimate of the standard deviation of a sampling distribution of sample _____ selected from a population with an unknown variance.
Answer
Correct Answer:
Means
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36. Estimated Cohen’s d is a measure of effect size in terms of the number of standard deviations that mean scores shift _____ the population mean stated by the null hypothesis.
Answer
Correct Answer:
Both a and b
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37. As sample size increases, the degrees of freedom _____
Answer
Correct Answer:
Increases
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