A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, given the same alpha level, which combination of factors is most likely to result in rejecting the null hypothesis?Group of answer choicesσ = 5 and n = 50σ = 10 and n = 25σ = 5 and n = 25σ = 10 and n = 50
Question
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, given the same alpha level, which combination of factors is most likely to result in rejecting the null hypothesis?Group of answer choicesσ = 5 and n = 50σ = 10 and n = 25σ = 5 and n = 25σ = 10 and n = 50
Solution
To determine which combination of factors is most likely to result in rejecting the null hypothesis, we need to consider the standard deviation (σ) and the sample size (n).
The smaller the standard deviation, the less spread out the scores are, making it easier to detect a treatment effect. Similarly, the larger the sample size, the more likely we are to detect a treatment effect if one exists.
Therefore, the combination of factors most likely to result in rejecting the null hypothesis would be the smallest standard deviation and the largest sample size.
So, the answer is σ = 5 and n = 50.
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