Question

In: Statistics and Probability

6. It is thought that dietary supplementation with linoleic acid reduces blood pressure. To test this,...

6. It is thought that dietary supplementation with linoleic acid reduces blood pressure. To test this, 15 adults consumed 23 g/day of sa✏ower oil, high in linoleic acid, for 4 weeks. Systolic blood pressure (SBP) measurements were taken at baseline (before ingestion of oil) and 1 month later, with the mean values over several readings at each visit given in the following table:
Subject    baseline SBP 1-month SBP Baseline1-month SBP

1 101.97    101.96 0.01

2    115.65    115.73    -0.08

3 106.66    106.17 0.49

4    119.65 118.66    0.99

5    113.21 111.84    1.37

6    121.75 123.35    -1.60

7    95.87 94.00 1.87

8    124.75    122.80 1.95

9 144.08    141.48    2.60

10 129.72    125.99 3.73

11 95.30    91.03 4.27

12    95.14 90.78    4.36

13    139.42 133.57    5.86

14    90.52 83.34    6.68

15    117.74 108.90    8.84

mean 114.10 111.34    2.76

Variance 271.9    284.2 8.14
(a) What parametric test could be used to test for any e↵ect of linoleic acid on SBP? Justify.


(b) Perform the test in (a), report a p-value, and provide a conclusion in the context of the problem.

Solutions

Expert Solution


Related Solutions

Need Chi-Square Test for Independence to determine if eating healthy and exercising reduces diastolic blood pressure....
Need Chi-Square Test for Independence to determine if eating healthy and exercising reduces diastolic blood pressure. Day BP Diastolic Ate Healthy and Exercised 1 85 N 2 109 N 3 96 N 4 92 N 5 99 N 6 98 N 7 102 Y 8 93 N 9 90 Y 10 84 N 11 90 N 12 86 N 13 81 N 14 77 Y 15 90 Y 16 86 Y 17 83 N 18 80 Y 19 78 N...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d = (blood pressure before taking new drug) − (blood pressure after taking new drug). Use a significance level of α = 0.05 for the test. Assume that the...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Using this data, find the 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...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Using this data, find the 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...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01 for the test. Assume that the systolic blood pressure levels are normally...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01 for the test. Assume that the systolic blood pressure levels are normally...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug shown in the table below. Using this data, find the 95 % 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...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05 for the test. Assume that the systolic blood pressure levels are normally...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01 for the...
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...
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 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05 for the test. Assume that the systolic blood pressure levels are normally...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT