Data Set 8-5Suppose you drew a random sample of 100 from a population and found $\bar { X }$ = 30.
-Look at Data Set 8-5. What is the probability that this sample (or one with a larger mean) was drawn from a population in which µ = 29.75 and $\sigma$ = 1?
A) .0062
B) .4013
C) .4938

Question

Quizplus · Accepted Answer

The probability can be found using the z-score formula: $ z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n}} $. Here, $ z = \frac{30 - 29.75}{1/\sqrt{100}} = 2.5 $. Using the standard normal distribution table, the probability of a z-score of 2.5 or higher is approximately 0.0062.

Data Set 8-5Suppose You Drew a Random Sample of 100 Xˉ\bar { X }Xˉ

Data Set 8-5Suppose You Drew a Random Sample of 100 $\bar { X }$