Which of the following assumptions is common to both the z-test and the one-sample t-test?
A)Alpha is selected to be 0.01.
B)The raw score population forms a normal distribution,and the population mean and standard deviation are known.
C)The standard deviation of the raw score population is estimated by .
D)There is one random sample of interval or ratio scores.

Question

Which of the following assumptions is common to both the z-test and the one-sample t-test?
A)Alpha is selected to be 0.01. 
B)The raw score population forms a normal distribution,and the population mean and standard deviation are known. 
C)The standard deviation of the raw score population is estimated by . 
D)There is one random sample of interval or ratio scores.

Quizplus · Accepted Answer

Both the z-test and the one-sample t-test require one random sample of interval or ratio scores. Option A is incorrect because alpha level can vary based on study design and research question. Option B is incorrect because the population parameters may not be known in practical scenarios; as such, point estimates are used. Option C is incorrect because the t-test uses the sample standard deviation to estimate the population standard deviation.

Which of the Following Assumptions Is Common to Both the Z-Test