Answered: Use the Statistical Applet: Statistical…

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 Statistical Applet: Statistical Significance to simulate the given situation.

Suppose you are planning to collect a set of data in an experiment where the null hypothesis states that the population mean will be 1515. You will collect 3030 observations, and you expect the population standard deviation to be 6.56.5. You plan to test at the 0.050.05 level of significance, using a one‑tailed test, that is, testing whether ?<15.μ<15. You suspect that the observations in your experiment will actually be centered around ?=13.μ=13.

Choose the "I have data, and the observed…" option and enter the value 1313. Then click UPDATE. According to the applet, what would be the ?P‑value for your experiment if you observe a sample mean of 1313?

WHAT IS THE ?P‑value =?

Would you be able to reject the null hypothesis in this situation?

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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