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Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 4cre
Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 4cre

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# ICU Patients Use the sample of ages from Exercise 1 to

ISBN: 9780321836960 18

## Solution for problem 4CRE Chapter 11.3

Elementary Statistics | 12th Edition

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Problem 4CRE

ICU Patients? Use the sample of ages from Exercise 1 to construct a 95% confidence interval estimate of the mean age of the population of ICU patients. Do the confidence interval limits contain the value of 65.0 years that was found from a sample of 9269 ICU patients? Exercise 1 ICU Patients? Listed below are the ages of randomly selected patients in intensive care units (based on data from “A Multifaceted Intervention for Quality Improvement in a Network of Intensive Care Units,” by Scales et al., ?Journal of the American Medical Association,? Vol. 305, No. 4). Find the mean, median, and standard deviation. Based on the results, is an age of 16 years ?unusual?? Why or why not?

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Solution 4 CRE Step1: From the above given problem we have the ages of randomly selected patients in intensive care units 38,64,35,67,42,29,68,62,74,58. Step2: Our aim is to construct a 95% confidence interval estimate of the mean age of the population of ICU patients.and whether the confidence interval limits contain the value of 65.0 years that was found from a sample of 9269 ICU patients Step3: S 95% confidence interval can be calculated by using the formula x ±t n Where, 1).x= mean n i=1i X = N 38+64+35+6+42+29+68+62+74+58 = 10 = 53.7 2).t = critical value Critical value can be obtained by using t distribution table with (n-1) degrees of freedom I.e, t = 2.26 and (x x) i = 1i 3). tandard deviation is S = n = 16.09 Now, The 95% confidence interval is 53.7 ± 2.26× 26.09 10 Therefore, it gives the confidence interval that is 42.19 < < 65.2 Hence,This interval contains the age 65.0 years that was found from the sample of 9269 ICU patients.

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