One-Sample and Two-Independent-Sample t Tests in Statistics MCQs
One-Sample and Two-Independent-Sample t Tests in Statistics MCQs
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1: As sample size increases, the degrees of freedom _____
A. Increases
B. Decreases
C. Remains same
D. All of these
2: 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.
A. Above
B. Below
C. Equal to
D. Both a and b
3: Estimated Standard Error is an estimate of the standard deviation of a sampling distribution of sample _____ selected from a population with an unknown variance.
A. Means
B. Means differences
C. Means variances
D. All of these
4: Estimated Standard Error for the Difference is an estimate of the standard deviation of a sampling distribution of _____ between two sample means.
A. Means
B. Means differences
C. Means variances
D. All of these
5: Independent Sample is a type of sample in which different participants are independently observed _____ time in each group.
A. One
B. Two
C. Three
D. Four
6: One-Sample t Test is specifically used to test hypotheses concerning the mean in a single population with an unknown variance.
A. True
B. False
7: Pooled Sample Standard Deviation is computed by taking the _____ of the pooled sample variance.
A. Difference
B. Mean
C. Square
D. Square root
8: Pooled Sample Variance is the _____ of sample variance of two samples.
A. Difference
B. Mean
C. Square
D. Square root
9: 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.
A. Proportion
B. Percent
C. Both
D. None
10: 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.
A. True
B. False
11: 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_____
A. T Distribution
B. Student’s t Distribution
C. Both
D. None
12: 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_____
A. T Distribution
B. Student’s t Distribution
C. Both
D. None
13: 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.
A. Mean value
B. Mean difference
C. Variance
D. Both a and b
14: 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_____
A. T Obtained
B. T Observed
C. T Effect
D. Both a and b
15: Treatment is any unique characteristic of a sample or any unique way that a researcher treats a sample in hypothesis testing.
A. True
B. False
16: 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_____
A. T Obtained
B. T Observed
C. T Statistic
D. All of these
17: Two-Independent-Sample t Test is a statistical procedure used to compare the_____ between two independent groups.
A. Standard deviation
B. Mean
C. Mean difference
D. All of these
18: When the population variance is unknown, the estimated standard error in the t statistic uses the ________ to estimate the population variance.
A. Sample variance
B. Population variance
C. Sample size
D. Degrees of freedom
19: The t distribution is similar to the z distribution in that:
A. It is associated with lesser variability.
B. It has “thicker” tails compared with the z distribution.
C. It is associated with scores being more likely in the middle of the distribution.
D. All of these.
20: The t distribution is similar to the z distribution in that:
A. It is associated with lesser variability.
B. It has “thicker” tails compared with the z distribution.
C. It is associated with scores being more likely in the middle of the distribution.
D. All of these.
21: The t distribution is similar to the z distribution in that:
A. It is associated with lesser variability.
B. It has “thicker” tails compared with the z distribution.
C. It is associated with scores being more likely in the middle of the distribution.
D. All of these.
22: 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?
A. 55
B. 58
C. 59
D. There is not enough information to answer this question.
23: For a one-sample t test, all of the following are known except:
A. The estimated standard error.
B. The sample mean and sample variance.
C. The sample size.
D. The population.
24: 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.
A. η2
B. ω2
C. It depends on the sample size.
D. It depends on the value of the t statistic
25: 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:
A. Same participants were assigned to each group.
B. The population variance is unknown.
C. Participants were observed many times.
D. The data was not normally distribute
26: 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?
A. No, this result is not significant, t(30) = 1.00.
B. Yes, this result is significant, p < .05.
C. No, this result is not significant, t(30) = 0.
D. There is not enough information to answer this question, because the variance in each sample is not given.
27: 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?
A. No, this result is not significant, t(30) = 1.00.
B. Yes, this result is significant, p < .05.
C. No, this result is not significant, t(30) = 0.
D. There is not enough information to answer this question, because the variance in each sample is not given.
28: 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?
A. Researcher A
B. Researcher B
C. The likelihood is the same for both researchers.
D. There is not enough information to answer this question
29: 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?
A. D = 0.83; large effect size
B. D = 0.83; medium effect size
C. D = 0.34; small effect size
D. D = 0.34; medium effect size
30: 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?
A. D = 0.83; large effect size
B. D = 0.83; medium effect size
C. D = 0.34; small effect size
D. D = 0.34; medium effect size
31: The following summarizes t-test results from four independent experiments. The test that was significant and associated with a large effect size is:
A. T(22) = 1.02, p > .05, d = .16.
B. T(30) = 1.03, p > .05, d = .20.
C. T(60) = 4.05, p < .05, d = .88.
D. T(12) = 2.95, p < .05, d = .32.
32: The larger the value of the calculated t statistic, the more likely we are to reject the null hypothesis.
A. True
B. False
33: The computation and interpretation of proportion of variance differ with each of the t tests.
A. True
B. False
34: Eta-squared estimate will be higher than omega-square
A. True
B. False
35: For the two-independent-sample t test, the degrees of freedom is (n1 − 1) + (n2 − 1).
A. True
B. False
36: For the two-independent-sample t test, the degrees of freedom is (n1 − 1) + (n2 − 1).
A. True
B. False
37: Normality, random sampling, and independence are all assumptions for the one-sample but not the two-independent-sample t test.
A. True
B. False
One-Sample and Two-Independent-Sample t Tests in Statistics MCQs
