It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is higher than 98.6^\circ F. The temperatures for 15 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 99.8, 90.2, 89.5, 90.9, 93.5, 96.2, 96.8, 88.7, 99.2, 95, 88.9, 99.4, 100.3, 109.7, 103.7 What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: Ha:Ha: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6∘98.6∘ F. There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6∘98.6∘ F. There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6∘98.6∘ F.

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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It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is higher than 98.6^\circ F. The temperatures for 15 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal.

99.8, 90.2, 89.5, 90.9, 93.5, 96.2, 96.8, 88.7, 99.2, 95, 88.9, 99.4, 100.3, 109.7, 103.7

What can be concluded at the αα = 0.01 level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0:

Ha:Ha:

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6∘98.6∘ F.
- There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6∘98.6∘ F.
- There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6∘98.6∘ F.

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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