A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Using this data, find the 99%99% confidence interval for the true difference in blood pressure for each patient after taking the new drug. Assume that the blood pressures are normally distributed for the population of patients both before and after taking the new drug.Patient123456789Blood pressure (before)189189185185180180202202171171176176158158164164199199Blood pressure (after)178178176176168168196196153153156156147147144144188188Copy DataStep 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1x1 be the blood pressure before taking the new drug and x2x2 be the blood pressure after taking the new drug and use the formula d=x2−x1d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.

Answered: A pharmaceutical company claims that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Using this data, find the 99%99% confidence interval for the true difference in blood pressure for each patient after taking the new drug. Assume that the blood pressures are normally distributed for the population of patients both before and after taking the new drug.

Patient	1	2	3	4	5	6	7	8	9
Blood pressure (before)	189189	185185	180180	202202	171171	176176	158158	164164	199199
Blood pressure (after)	178178	176176	168168	196196	153153	156156	147147	144144	188188

Copy Data

Step 1 of 4 :

Find the point estimate for the population mean of the paired differences. Let x1x1 be the blood pressure before taking the new drug and x2x2 be the blood pressure after taking the new drug and use the formula d=x2−x1d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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