Suppose a researcher is testing a null hypothesis that $\mu$ = 61. A random sample of n = 36 is taken resulting in a sample mean of 63 and s = 9. The test statistic is ___.
A) -0.22
B) 0.22
C) 1.33
D) 8.08
E) 7.58

Question

Quizplus · Accepted Answer

The test statistic for a one-sample t-test is given by:

t = (x̄ - μ) / (s/√n)

where x̄ is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the question, we get:

t = (63 - 61) / (9/√36) = 2 / 3 = 0.67

The closest choice to this value is C) 1.33 (since t-distributions are symmetric, we also know the answer cannot be negative). Therefore, C) is the correct answer.

Suppose a Researcher Is Testing a Null Hypothesis That μ\muμ = 61 a Random Sample of N = 36 Is Taken

Suppose a Researcher Is Testing a Null Hypothesis That $\mu$ = 61 a Random Sample of N = 36 Is Taken