Answered: A group of scientists used smartphones…

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 group of scientists used smartphones to measure the body temperature of 27 athletes using wearables (Apple Watches, Fitbits, etc.). Open hw4_temperature.csv in jamovi and conduct a one-sample t-test to examine whether the average body temperature in the athlete sample is equivalent to the expected population mean of 98.6. 1. Paste the necessary output for this analysis (both descriptive and inferential statistics) from jamovi. 2. What is the mean and standard deviation for the sample? 3. What is the value of the test statistic? 4. What is the degrees of freedom of the test? 5. What is the precise p-value as reported by jamovi? Make sure you report the value to at least three decimal places. 6. Is the effect significant ? 7. What is the effect size? Is this a small, medium, or large effect? 8. Based on the results of your analysis, does being an athlete increase, decrease, or have no effect on average body temperature?

temperature
99.2308
96.9231
97.1795
98.1282
96.3846
97.1795
95.3846
98.8974
96.9231
97.6923
97.6923
97.6923
97.4359
98.9744
98.4615
99.2308
99.7436
100.2564
100.2564
99.2308
99.7436
98.4615
98.2051
96.6667
97.1795
98.8974
98.9231
I

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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