Asked by Charlene Coleman on Jul 08, 2024
Verified
Bill and Bob conduct two separate studies. By an amazing coincidence, they obtain exactly the same sample means and standard deviations. However, Bill's sample is twice as large as Bob's. Which of these is true?
A) Bill's critical values will be larger than Bob's.
B) Bill's degrees of freedom are smaller than Bob's.
C) Bill is more likely to reject the null hypothesis than Bob.
D) Bill's value of α will be smaller than Bob's.
Degrees Of Freedom
The number of values in a final calculation of a statistic that are free to vary.
Null Hypothesis
A statement or hypothesis in statistics that suggests no significant difference or effect; it is the hypothesis that researchers aim to test against.
- Acquire an understanding of the relationship between sample size and its effects on the standard error of the difference and on t-statistic values.
Verified Answer
NP
Nayda PeaceJul 14, 2024
Final Answer :
C
Explanation :
Bill's larger sample size gives him more statistical power, making it more likely for him to reject the null hypothesis if there is indeed an effect.
Learning Objectives
- Acquire an understanding of the relationship between sample size and its effects on the standard error of the difference and on t-statistic values.
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