Exhibit 8-2
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph.
-Refer to Exhibit 8-2. If the sample size was 100 (other factors remain unchanged), the interval for $\mu$ would
A)not change
B)become narrower
C)become wider
D)become zero

Question

Quizplus · Accepted Answer

The interval for estimating the population mean would become wider as the sample size decreases from 121 to 100 while keeping other factors constant. This is because a smaller sample size would result in less precision and more uncertainty in estimating the population mean.

Exhibit 8-2 a Random Sample of 121 Automobiles Traveling on an Interstate

Exhibit 8-2
a Random Sample of 121 Automobiles Traveling on an Interstate