For a study conducted by the research department of a pharmaceutical company, 265 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 $5.20. A random sample of 230 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 $4.00. 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 u, -µ, between the mean spending on prescription allergy relief medication (u) and the mean spending on non-prescription allergy relief medication (µ,). 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,

MATLAB: An Introduction with Applications
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For a study conducted by the research department of a pharmaceutical company, 265 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 $5.20. A random sample of 230 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
$4.00. 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 u, -µ, between the mean spending on prescription allergy relief medication (u,) and
the mean spending on non-prescription allergy relief medication (u,). 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.)
Transcribed Image Text:For a study conducted by the research department of a pharmaceutical company, 265 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 $5.20. A random sample of 230 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 $4.00. 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 u, -µ, between the mean spending on prescription allergy relief medication (u,) and the mean spending on non-prescription allergy relief medication (u,). 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.)
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