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 99 percent confidence interval about the mean in Data Set 8-3 is
A) 135 to 465
B) 272.50 to 327.50
C) 295.42 to 304.58

Question

Quizplus · Accepted Answer

The 99% confidence interval for the mean can be calculated using the formula: mean ± (Z * (σ/√n)), where Z is the Z-score corresponding to the confidence level (for 99%, Z ≈ 2.576), σ is the standard deviation, and n is the sample size. Given mean (μ) = 300 volts, standard deviation (σ) = 60 volts, and sample size (n) = 36, the calculation is 300 ± (2.576 * (60/√36)), which simplifies to 300 ± 25.76, resulting in the interval 274.24 to 325.76, which is rounded to 272.50 to 327.50.

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