Data Set 8-10: A population with a mean (µ) of 6 and a standard deviation ($\sigma$) of 2. (Carry 3 or 4 decimals in your calculations.)
-What is the probability that a random sample with N = 8 from Data Set 8-10 would have a mean of 7 or larger?
A) .00003
B) .1915
C) .3085
D) .4207
E) .49997
F) 0.0793

Question

Quizplus · Accepted Answer

The standard error of the mean (SEM) is calculated as $\sigma/\sqrt{N} = 2/\sqrt{8} = 0.7071$. The z-score for a sample mean of 7 is $(7 - 6)/0.7071 = 1.4142$. Using the standard normal distribution table, the probability of a z-score greater than 1.4142 is approximately 0.0793.

Data Set 8-10: a Population with a Mean (µ) of 6