It has been hypothesized that on average employees spend one hour a day playing video games at work. To test this claim, a manager takes a random sample of 35 employees who showed a mean time of 55 minutes per day with a standard deviation of 5 minutes.
-The test statistic is _____.
A)5.92
B)63.89
C)11.84
D)-5.92
E)-63.89

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula: $z = \frac{\bar{x} - \mu}{(\sigma / \sqrt{n})}$, where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $\sigma$ is the standard deviation, and $n$ is the sample size. Here, $\bar{x} = 55$ minutes, $\mu = 60$ minutes (since the hypothesis is that employees spend one hour, or 60 minutes, playing video games), $\sigma = 5$ minutes, and $n = 35$. Plugging these values into the formula gives $z = \frac{55 - 60}{(5 / \sqrt{35})} = -5.92$.

It Has Been Hypothesized That on Average Employees Spend One