Answered: a) What conditions should you check…

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

Anwer A B C

(a) What conditions should you check first before you conduct the hypothesis test?

(b) Write the null and alternative hypotheses.

(d) What formula should be used for the test statistic?

(e) What number is the test statistic equal to?

(f) Sketch a graph of the p-value

(g) What p-value do you obtain? Round to the ten-thousandths.

(h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain.

(i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test.

6. Average weekly earnings for those working in financial activities is $623. A group of employees working for a large national accounting firm felt that they earned more. The mean weekly earnings for a random sample of 21 employees showed an average weekly earning of $650 with a standard deviation of $72. At α =0.01, can it be concluded that the employees are correct?

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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