Answered: Consider the following hypothesis test:…

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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Consider the following hypothesis test:

H0: mu=15

Ha: mu not = to 15

A sample of 40 provided a sample mean of 14.18 . The population standard deviation is 5 . Enter negative value as negative number.

a. Compute the value of the test statistic (to 2 decimals).

b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations.

c. Using a=.05, can it be concluded that the population mean is not equal to 15 ?
- Select your answer -YesNoItem 3

Answer the next three questions using the critical value approach.

d. Using a=.05 , what are the critical values for the test statistic? (+ or -)
(to 2 decimals)

State the rejection rule: RejectH0 if z is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to the lower critical value and is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to the upper critical value.

Can it be concluded that the population mean is not equal to 15?
- Select your answer -Yes No

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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