Data Set 8-3 :From a random sample of 36 college students the following statistics were obtained on the Milligram "Could You Be a Nazi?" shock test. The higher the score on this test the more the person obeys authority: = 300 volts, = 60 volts.
-The 95 percent confidence interval about the mean in Data Set 8-3 is
A) 177.48 to 422.52
B) 279.58 to 320.42
C) 296.60 to 303.40

Question

Quizplus · Accepted Answer

The 95% confidence interval for the mean can be calculated using the formula: $\bar{x} \pm Z \frac{\sigma}{\sqrt{n}}$, where $\bar{x}$ is the sample mean, $Z$ is the Z-score for the 95% confidence level (which is 1.96 for 95% confidence), $\sigma$ is the standard deviation, and $n$ is the sample size. Given $\bar{x} = 300$, $\sigma = 60$, and $n = 36$, the confidence interval is calculated as $300 \pm 1.96 \times \frac{60}{\sqrt{36}}$, which simplifies to $300 \pm 1.96 \times 10$, resulting in the interval $279.58$ to $320.42$.

Data Set 8-3 :From a Random Sample of 36 College