Answered: Suppose you are conducting a test of…

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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Suppose you are conducting a test of significance for the weight of a bag of Lay's Potato Chips. Your hypotheses are:

Null: The population mean weight is 10 ounces.
Alternative: The population mean weight is less than 10 ounces.

From your random sample of 40 bags of chips, you conclude that the mean weight of all bags of Lay's chips is less than 10 ounces with a p-value of 0.017. Which of the following statements best describes what that p-value means?

(A) The probability that the mean weight of all bags of Lay's chips is 10 ounces is 0.017.

(B) If the mean weight of all bags of Lay's chips is 10 ounces, the probability that a random sample of 40 bags would have a mean as low or lower than the one found is 0.017.

(C) If the mean weight of all bags of Lay's chips is less than 10 ounces, the probability that a random sample of 40 bags would have a mean as low or lower than the one found is 0.017.

(D) The probability that the mean weight of all bags of Lay's chips is less than 10 ounces is 0.017.

(E) None of the above.

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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