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For a study conducted by the research department of a pharmaceutical company, 260 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 $17.80 with a standard deviation of $4.30. A random sample of 280 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 $18.20 with a standard deviation of $3.50. 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 90% confidence interval for the difference μ₁-₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription allergy relief medication (H₂). Then find the lower limit and upper limit of the 90% 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: Explanation Check X Ś ©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Español M

For a study conducted by the research department of a pharmaceutical company, 260 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 $17.80 with a standard deviation of $4.30. A random sample of 280 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 $18.20 with a standard deviation of $3.50. 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 90% confidence interval for the difference μ₁-₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription allergy relief medication (H₂). Then find the lower limit and upper limit of the 90% 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: Explanation Check X Ś ©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Español M

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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, 260 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 $17.80 with a standard deviation of $4.30. A random sample of 280 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 $18.20 with a standard deviation of $3.50. 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 90% confidence interval for the difference μ₁-₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription allergy relief medication (H₂). Then find the lower limit and upper limit of the 90% 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.) esc Lower limit: Upper limit: Explanation @ Check X S % A & ©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Español M
Transcribed Image Text:For a study conducted by the research department of a pharmaceutical company, 260 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 $17.80 with a standard deviation of $4.30. A random sample of 280 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 $18.20 with a standard deviation of $3.50. 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 90% confidence interval for the difference μ₁-₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription allergy relief medication (H₂). Then find the lower limit and upper limit of the 90% 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.) esc Lower limit: Upper limit: Explanation @ Check X S % A & ©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Español M
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