researcher is interested in the average number of children of households in a city back in 1800. Rather than spend the time analyzing each entry in the city directory, she decides to sample randomly from the directory and estimate the size from this sample. In a sample of 60 households, she finds the average number of children to be 4.5 with a standard deviation of 2.5. Find the 95 percent confidence interval, using the t Find the 95 percent confidence interval, using the z distribution Which interval is more

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A researcher is interested in the average number of children of households in a city back in 1800. Rather than spend the time analyzing each entry in the city directory, she decides to sample randomly from the directory and estimate the size from this sample. In a sample of 60 households, she finds the average number of children to be 4.5 with a standard deviation of 2.5.

  1. Find the 95 percent confidence interval, using the t
  2. Find the 95 percent confidence interval, using the z distribution
  3. Which interval is more appropriate? Why?
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