The U.S. Census Bureau compiles data on family size and presents its findings in Current Population Reports. Suppose that 500 U.S. families are randomly selected to estimate the mean size, μ, of all U.S. families. Further suppose that the results are as shown in the following frequency distribution.

a. If the population standard deviation of family sizes is 1.3, determine a 95% confidence interval for the mean size, μ, of all U.S. families. (Hint: To find the sample mean, use the grouped-data formula on page 113.)
b. Interpret your answer from part (a).

Transcribed Image Text:

Size Frequency 198 118 101 59 12 3 8 1