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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 8.2 / Problem 33E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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An article in Obesity Research [“Impaired Pressure

Chapter 8, Problem 33E

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QUESTION:

Problem 33E

An article in Obesity Research [“Impaired Pressure Natriuresis in Obese Youths” (2003, Vol. 11, pp. 745–751)] described a study in which all meals were provided for 14 lean boys for three days followed by one stress test (with a videogame task). The average systolic blood pressure (SBP) during the test was 118.3 mm HG with a standard deviation of 9.9 mm HG. Construct a 99% one-sided upper confidence interval for mean SBP.

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QUESTION:

Problem 33E

An article in Obesity Research [“Impaired Pressure Natriuresis in Obese Youths” (2003, Vol. 11, pp. 745–751)] described a study in which all meals were provided for 14 lean boys for three days followed by one stress test (with a videogame task). The average systolic blood pressure (SBP) during the test was 118.3 mm HG with a standard deviation of 9.9 mm HG. Construct a 99% one-sided upper confidence interval for mean SBP.

ANSWER:

Step 1 of 2

Given,

Sample size, n = 14

The sample mean,

The standard deviation,

For and s, the mean and standard deviation of a random sample from a normal distribution with unknown variance , a Confidence Interval on is given by,

where is the upper percentage point of the t distribution with n – 1 degrees of freedom

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