The Department of Health and Human Services wants to know the average income of general assistance recipients. A sample of 60 recipients shows a sample mean of $17,400 with a standard deviation of $3,150. According to these information: (1) Place a 95% confidence interval around your best estimate of the average income of general assistance recipients. (2) Interpret the meaning of the confidence interval you find in
We have mean = $17400 Standard Deviation = $3150
And n= 60
Now 95% Confidence interval is
Hence 95% confidence interval is (16602.94, 18197.06).
Now we can say
A 95% confidence interval (16602.94, 18197.06) is a range of values that you can be 95% certain contains the true mean of the population.
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