Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 5.6, Problem 8E
To determine
Find the 98% confidence interval for the difference in mean levels between those with high blood pressure and those with normal blood pressure.
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The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in the table.
'Before'
'After'
22.86
6.11
7.74
-4.02
15.49
8.04
9.97
3.29
1.44
-0.77
9.39
6.99
11.4
10.19
1.86
2.09
-6.71
11.4
6.42
10.7
a) Write the null and alternate hypotheses
What test will be used to test the hypothesis and what assumptions are required? test them.
Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?
The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in data 3. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?
data 3
'Before' 'After'22.86 6.117.74 -4.0215.49 8.049.97 3.291.44 -0.779.39 6.9911.4 10.191.86 2.09-6.71 11.46.42 10.7
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Can you conclude that the mean arsenic concentration in whitefish in Yellowknife Bay is greater than 0.3 mg/kg?
Chapter 5 Solutions
Statistics for Engineers and Scientists
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