Question

question 4 of 25
if a sample mean is 92, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
a. (82,114)
b. (76,108)
c. (80,112)
d. (78,110)

Explanation:

Step1: Find the mid - point of each interval

For option A: \(\frac{82 + 114}{2}=\frac{196}{2}=98\)
For option B: \(\frac{76+108}{2}=\frac{184}{2} = 92\)
For option C: \(\frac{80 + 112}{2}=\frac{192}{2}=96\)
For option D: \(\frac{78+110}{2}=\frac{188}{2}=94\)

Step2: Compare the mid - points with the sample mean

The sample mean is \(92\). The mid - point of the confidence interval (which estimates the population mean) should be close to the sample mean. The mid - point of option B is \(92\)

Answer:

B. \((76,108)\)