Answered: b. State the decision rule. (Negative…

Name: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whethe
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Description: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample 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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The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.


School Teachers ($)	1,095	1,076	1,077	1,125	1,034	1,059	1,052	1,070	1,079	1,080
Nurses ($)	1,091	1,140	1,071	1,021	1,100	1,109	1,075	1,079

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level. Hint: For the calculations, assume the nurses as the first sample.

b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
The decision rule is to reject HO if t is
greater than
c. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
The test statistic is t

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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