Answered: Wages of workers Without a High School…

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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Wages of workers Without a High School Diploma. SmartAsset reports that the average weekly earnings for workers who have not received a high school diploma are $493 in 2018. Suppose you would like to determine if the average weekly earnings for workers who have received a high school diploma is significantly greater than the average Supplementary Exercises 465 weekly earnings for workers who have not received a high school diploma. Data providing the weekly pay for a sample of 50 workers who have received a high school diploma are available in the file WeeklyHSGradPay. These data are consistent with the findings reported by SmartAsset.

a. Repeat the hypothesis test using the critical value approach.

b. e) Calculate the probability of a type II error when the mean weekly pay for workers who have received a high school diploma is $900.

Weekly Earnings
687.73
543.15
789.45
442.26
684.85
661.43
478.30
629.62
486.95
786.47
652.15
652.82
669.81
641.13
577.24
845.68
541.59
553.36
743.25
468.61
821.71
757.82
657.34
506.95
744.93
553.20
827.92
663.85
685.90
637.25
530.54
515.85
588.77
506.62
720.84
503.01
583.18
7980.24
465.55
593.12
605.33
701.56
491.86
763.40
711.19
631.73
605.89
828.37
477.81
703.06

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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