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 = 25σ = 10 and n = 50σ = 10 and n = 25σ = 5 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 = 25σ = 10 and n = 50σ = 10 and n = 25σ = 5 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, which makes the sample mean more reliable. Similarly, the larger the sample size, the more reliable the sample mean.
Therefore, the combination of factors that is most likely to result in rejecting the null hypothesis is the one with the smallest standard deviation and the largest sample size.
In this case, that would be σ = 5 and n = 50.
Similar Questions
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?Group of answer choicesA sample mean much different than 80 with α = .05A sample mean near 80 with α = .05A sample mean near 80 with α = .01A sample mean much different than 80 with α = .01
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