In Exercise 36, does it seem possible that the population mean could equal half the sample mean?

Question:

In Exercise 36, does it seem possible that the population mean could equal half the sample mean? Explain.


Data from Exercise 36:

In a random sample of 18 months from June 2008 through September 2016, the mean interest rate for 30-year fixed rate conventional home mortgages was 4.36% and the standard deviation was 0.75%. Assume the interest rates are normally distributed.

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