Answered: calculate a 95% confidence interval for…

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

d. calculate a 95% confidence interval for the population mean body temperature, based on the sample results for these 130 healthy adults. [Round your answer to 2 decimal places.]

(__________ , _________)

g. Suppose the sample size had been 13 rather than 130, but the sample statistics turned out exactly the same. How would you expect a 95% confidence interval to differ in this case from the 95% interval in part d?

The midpoint would stay the same and the width would increase

1- produce the confidence interval mentioned in part g. [Round your answer to 1 decimal place.]

(_____________, ________________)

Body Temperatures
Recall from Activity 12-01 and Exercise 15-3 that the body temperatures (in degrees
Fahrenheit) have been recorded for a sample of 130 healthy adults (Shoemaker,
1996). The sample mean body temperature is 98.249°F, and the sample standard
deviation is 0.733°F.
Number of Adults
25
20
15
10
5-
N
5
3
99
23
18
22
20
-
5
2
0-
96.0 96.5 97.0 97.5 98.0 98.5 99.0 99.5 100.0 100.5 101.0
Body Temperature (degrees Fahrenheit)

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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