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Name: Use the information below to answer questions 1-3 Data measured on n=3
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Description: Use the information below to answer questions 1-3 Data measured on n=3,539 participants who attended the seventh examination of the Offspring in the Framing- ham Heart Study showed that the mean Total Serum Cholesterol for men is 192.4 with sample si

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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Use the information below to answer questions 1-3 Data measured on n=3,539 participants who attended the seventh examination of the Offspring in the Framing- ham Heart Study showed that the mean Total Serum Cholesterol for men is 192.4 with sample size 1,544, whereas the mean Total Serum Cholesterol for women is 207.1 with sample size 1,766. The population standard deviation for men is 35.2 and 36.7 for women. We now wish to assess whether there is a statistically significant differ- ence in mean Total Serum Cholesterol between men and women using a 5% level of significance.

1. Write down the hypotheses to test are?
(i). ........................................................................... (ii).................................................................................

2. What is the appropriate test statistic to use?...............................................

3. Write down the test statistic value....................................................

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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