or a study conducted by the research department of a pharmaceutical company, 210 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 $5.30. A random sample of225 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 $18.30 with a standard deviation of $4.40. 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 90% confidence interval for the difference−μ1μ2 between the mean spending on prescription allergy relief medication (μ1) and the mean spending on non-prescription allergy relief medication (μ2). Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
or a study conducted by the research department of a pharmaceutical company, 210 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 $5.30. A random sample of225 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 $18.30 with a standard deviation of $4.40. 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 90% confidence interval for the difference−μ1μ2 between the mean spending on prescription allergy relief medication (μ1) and the mean spending on non-prescription allergy relief medication (μ2). Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For a study conducted by the research department of a pharmaceutical company, 210 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 $5.30. A random sample of225 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 $18.30 with a standard deviation of $4.40. 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 90% confidence interval for the difference−μ1μ2 between the mean spending on prescription allergy relief medication (μ1) and the mean spending on non-prescription allergy relief medication (μ2). Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.
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