Question

Let us suppose that (28 , 32) inches is an 80% one-sample confidence interval for the average height of all adult miniature horses. Some people believe that the population average height is 29.5 inches.
Based on the confidence interval, is this a plausible belief? Group of answer choices

No, because 29.5 does not belong to the interval.
Yes, because 29.5 lies within the interval.
Yes, because 29.5 does not belong to the interval.
No, because 29.5 lies within the interval.

Answer 1

Answer:

Yes, because 29.5 lies within the interval.

Step-by-step explanation:

Since the given interval of (28, 32) inches has an 80% confidence level. It is plausible to estimate with 80% certainty that the mean height of all adult miniature horses falls within that interval.

A height of 29.5 belongs to the interval:

28≤ 29.5 ≤ 32

Therefore, based on the confidence interval, the belief that the population average height is 29.5 inches is plausible