Question

question 4 of 10
if a sample mean is 32, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
a. (34,42)
b. (28,36)
c. (32,42)
d. (30,38)

Explanation:

Step1: Recall the concept of confidence interval around sample mean

The population mean estimate (confidence interval) is centered around the sample mean.

Step2: Check the center of each interval

For option A: \(\frac{34 + 42}{2}=\frac{76}{2}=38
eq32\)
For option B: \(\frac{28+36}{2}=\frac{64}{2} = 32\)
For option C: \(\frac{32 + 42}{2}=\frac{74}{2}=37
eq32\)
For option D: \(\frac{30+38}{2}=\frac{68}{2}=34
eq32\)

Answer:

B. (28, 36)