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Assignment – Show the set up of each problem and the formula used when working these problems.
Question 1
In a poll of 500 voters in a campaign to eliminate non-returnable beverage containers, 225 of the voters were opposed. Develop a 92% confidence interval estimate for the proportion of all the voters who opposed the container control bill.
Question 2
A random sample of 94 contractors had an average yearly income of $97,000 with a standard deviation of $8,000.
Question 3
In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 25 pieces of carry-on luggage was collected and weighed. The average weight was 14 pounds. Assume that we know the standard deviation of the population to be 7.5 pounds.
Question 4
A statistician employed by a consumer testing organization reports that at 95% confidence he has determined that the true average content of the Uncola soft drinks is between 11.8 to 12.2 ounces. He further reports that his sample revealed an average content of 12 ounces, but he forgot to report the size of the sample he had selected. Assuming the standard deviation of the population is 1.45, determine the size of the sample.
Project
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Download it here.
Hint from Dr. Klotz – use the information beginning in section 8.4 for #1
Using the ROI data set:
State and interpret the interval
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