
Final Exam Statistics
Authored by Ebenizer Dajes
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23 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the primary purpose of a single-sample t-test?
To compare the means of two independent groups.
To compare the means of two dependent groups.
To determine if a sample mean differs significantly from a known population mean.
To analyze the variance within a single sample.
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A researcher conducts a single-sample t-test and obtains a p-value of 0.03. What does this p-value indicate?
There is strong evidence to reject the null hypothesis.
There is weak evidence to reject the null hypothesis.
There is strong evidence to fail to reject the null hypothesis.
The test is inconclusive.
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A psychologist wants to test if the average IQ of a sample of 25 students (mean IQ = 110, standard deviation = 10) differs significantly from the known population mean IQ of 100. Which of the following correctly represents the null hypothesis (H₀) for this single-sample t-test?
μ ≠ 100
μ = 110
μ = 100
μ ≠ 110
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A researcher performs a single-sample t-test and finds a statistically significant result (p < 0.05). However, the effect size is very small. What should the researcher conclude?
The results are highly meaningful and support the research hypothesis.
The results are not meaningful despite statistical significance due to the small effect size.
The results are inconclusive because the p-value is less than 0.05.
The test was incorrectly performed.
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A study uses a single-sample t-test to compare the average weight loss of participants in a weight-loss program to a hypothesized average weight loss of 10 pounds. The study finds a statistically significant difference (p < 0.01). However, the sample size was only 5 participants. What is the most appropriate evaluation of this study's findings?
The results are highly reliable and generalizable to a larger population.
The small sample size limits the reliability and generalizability of the results, despite statistical significance.
The p-value is so low that the sample size is irrelevant.
The study is perfectly valid and conclusive.
6.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
A researcher wants to investigate if a new teaching method improves student performance on a standardized test. The population mean score on the test is 75. The researcher collects data from a sample of students taught using the new method. Which of the following best describes the appropriate statistical test and the null hypothesis?
Independent samples t-test; H₀: μ₁ = μ₂
Paired samples t-test; H₀: μd = 0
Single-sample t-test; H₀: μ = 75
ANOVA; H₀: μ₁ = μ₂ = μ₃
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
A researcher uses a dependent samples t-test and finds a p-value of 0.02. Assuming a significance level of α = 0.05, what is the appropriate conclusion?
Fail to reject the null hypothesis.
Reject the null hypothesis.
The test is inconclusive.
The effect size is small.
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