Which situation would have the highest difference between values?
Group of answer choices
t = 30
t = 0.05
t = 0.95
t = 35
option (b) t=0.05 is correct answer.
Explanation: We know that the t-test is used for the testing a sample mean from a population mean.
Let us consider that X1, X2,..., Xn be a random sample of size n. Let x̄ be the sample mean and s be the standard deviation of the sample. Then, t-statistics is defined as,
Since it is given that there is the highest difference between values. It means sample variance and sample standard deviation is high. If s will be high, then we can see that t will be minimum. Hence, option (b) is the correct answer.
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