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x i/ For a'study conducted by the research department of a pharmaceutical company, 215 randomly selected individuals were asked to report the amount of money
x i/ For a'study conducted by the research department of a pharmaceutical company, 215 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 $17.70 with a standard deviation of $4.60. A random sample of 220 individuals was selected independently of the rst sample. These individuals reported their annual spending on non-prescription allergy relief medication. ,.- The mean of the second sample was found to be $18.30 with a standard deviation of $3.90. As the sample sizes were quite large, it was assumed that the H respective population standard deviations of the spending for prescription and nonprescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 95% condence interval for the difference 11'1\"2 between the mean spending on prescription on allergy relief medication (p1) and the mean spending on non-prescription allergy relief medication (pg). Then nd the lower limit and upper limit of the 95% @ corldence interval. , Cany your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of E formulas.) Lower limit: ' l X 53 E Upper limit
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