Answered: A nutritionist conducted a survey to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A nutritionist conducted a survey to study the blood pressure(mmHg) of 8 randomly selected patients from his clinic. The data collected are listed below:

118	119	120	125
131	135	142	154

It is assumed that the blood pressures follow a normal distribution.

(a) Find the sample mean, sample median, sample variance, and the sample standard deviation from the above data.
(b) Construct a 95% confidence interval estimate for the population mean blood pressures.

Answer (a) and (b) and show clear calculation steps

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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