Answered: MY NOTES Bags of a certain brand…

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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MY NOTES

Bags of a certain brand of tortilla chips claim to have a net weight of 12.5 oz. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H₀: μ = 12.5, H_A: μ < 12.5. To do this, he selects 24 bags of tortilla chips of this brand at random and determines the net weight of each. Data reveals a bell-shaped histogram, a sample mean of 12.31 ounces, and a standard deviation of 0.48 ounces.

(a) What type of test is this?

Two-sided, one-sample test

Two-sided, two-sample test

One-sided, two-sample test

One-sided, one-sample test

(b) Given the test statistic = -1.94 and α = 0.05, which of the following statements is the decision?

Reject H₀; conclude the bags are underweight.

Fail to reject H₀; do not conclude the bags are underweight.

Fail to reject H₀; conclude the the bags are underweight.

Reject H₀; conclude the bags are overweight.

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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