Question

question 5 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. (32, 42)
b. (34, 42)
c. (28, 36)
d. (30, 38)

Explanation:

The sample mean (32) is an unbiased estimator of the population mean, so the population mean estimate range should center around 32. Check which interval includes 32:

• A: 32 is the lower bound, not centered.
• B: 32 is below the interval, not included.
• C: Midpoint is (28+36)/2 = 32, centered at sample mean.
• D: Midpoint is (30+38)/2 = 34, not centered at 32.

Only option C is centered at the sample mean, making it the most likely range.

Answer:

C. (28, 36)