For a study conducted by the research department of a

Last updated: 5/17/2023

For a study conducted by the research department of a pharmaceutical company 270 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication The sample mean was found to be 17 60 with a standard deviation of 5 30 A random sample of 225 individuals was selected independently of the first sample These individuals reported their annual spending on non prescription allergy relief medication The mean of the second sample was found to be 18 40 with a standard deviation of 4 50 As the sample sizes were quite large it was assumed that the respective population standard deviations of the spending for prescription and non prescription allergy relief medication could be estimated as the respective sample standard deviation values given above Construct a 95 confidence interval for the difference between the mean spending on prescription allergy relief medication and the mean spending on non prescription allergy relief medication Then find the lower limit and upper limit of the 95 confidence interval Carry your intermediate computations to at least three decimal places Round your answers to at least two decimal places If necessary consult a list of formulas Lower limit Upper limit X