'Margin of error' or 'MOE' is a concept we first introduce in the Section 3.2 notes.Construct an interval giving a range of values for a population mean, μ, given the sample mean, 𝑥¯ = 17 and the margin of error, MOE = 5 (22) (12) (12, 17) (7, 27) (17, 22) (12, 22)

The margin of error (MOE) is a statistic expressing the amount of random sampling error in a survey's results. It asserts a likelihood (not a certainty) that the result from a sample is close to the number one would get if the whole population had been queried.

Given the sample mean (𝑥¯) = 17 and the margin of error (MOE) = 5, we can construct an interval for the population mean (μ) as follows:

1. Subtract the MOE from the sample mean to get the lower limit of the interval: 17 - 5 = 12
2. Add the MOE to the sample mean to get the upper limit of the interval: 17 + 5 = 22

So, the interval giving a range of values for the population mean (μ) is (12, 22). This means we can be confident that the true population mean falls somewhere between 12 and 22.