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 observed test statistic is _______.
A)-0.22
B)0.22
C)1.33
D)8.08
E)7.58

Question

Quizplus · Accepted Answer

The observed test statistic is calculated using the formula for a z-test: $z = \frac{\bar{x} - \mu}{(\sigma/\sqrt{n})}$. Here, $\bar{x} = 63$, $\mu = 61$, $s = 9$, and $n = 36$. Since the population standard deviation ($\sigma$) is not given, we use the sample standard deviation (s) as an estimate, leading to $z = \frac{63 - 61}{(9/\sqrt{36})} = \frac{2}{1.5} = 1.33$.

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

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