Statistical Inference About 2 Population Sample Assignment
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Solution: - The z value for 95% confidence intervals is 1.96. the other sample information follows.
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nr = 50 np = 50
xr = 21.45 xp = 24.6
α = 3.46 αp = 2.99
Based on this information, the confidence interval is
We are 95% confident that the actual difference is mean gasoline mileage between the two types of gasoline is between – 1.88 mpg and -4.42 mpg. The point estimate is -3.15mpg.
Statistical Inference About 2 Population Sample Assignment
Questions: - A consumer test group wants to determine the difference is gasoline mileage of cars using regular unleaded gas and cars using premium unleaded gas. Researches for the group divided a fleet of 100 cars or the same make in half and tested each car on one tank of gas. Fifty of the cars were filled with regular unleaded gas and 50 were filled with premium unleaded gas. The sample average for the regular gasoline group was 21.45 miles per gallon (mpg), and the sample average for the premium gasoline group was 24.6 mpg. Assume that the population standard deviation of the regular unleaded gas population is 3.46 mpg, and that the population standard deviation of the regular unleaded gas population is 2.99 mpg. Construct a 95% confidence interval to estimate the difference in the mean gas mileage between the cars using regular gasoline and the cars using premium gasoline.Solution: - The z value for 95% confidence intervals is 1.96. the other sample information follows.
Regular Premium
nr = 50 np = 50
xr = 21.45 xp = 24.6
α = 3.46 αp = 2.99
Based on this information, the confidence interval is
We are 95% confident that the actual difference is mean gasoline mileage between the two types of gasoline is between – 1.88 mpg and -4.42 mpg. The point estimate is -3.15mpg.
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