Answered: The Tampa Bay (Florida) Area Chamber of…

Name: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whethe
Uploaded: 2024-03-20T07:07:12.000Z
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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 ($)	845	826	827	875	784	809	802	820	829	830	842	832
Nurses ( $ )	841	890	821	771	850	859	825	829

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the .01 significance level. Hint: For the calculations, assume the nurses as the first sample.

This is a (Click to select) one two -tailed test.

2.	The decision rule is to reject H0H0 if t is (Click to select) less than equal to greater than (Round your answer to 3 decimal places.)

3.	The test statistic is t = . (Round your answer to 3 decimal places.)

4.	What is your decision regarding H0H0 ? (Click to select) Do not reject. OR Reject.

5.	What is the p-value? (Click to select) Between 0.01 and 0.1. Less than 0.001. Greater than 0.1. Between 0.001 and 0.01.

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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