To determine the average weight of carry-on luggage by passengers in airplanes, a sample of 35 pieces of carry-on luggage was weighed. The average weight was 17 pounds. Assume that we know the standard deviation of the population to be 9 pounds. Determine a 97% confidence interval estimate for the mean weight of the carry-on luggage.
Provide the lower limit of the confidence interval.(Round to four decimal places)
We have given that,
Sample mean =17
Population standard deviation=9
Sample size=35
Level of significance =1-0.97=0.03
Z critical value (by using Z table)=2.17
Lower limit formula for confidence interval
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