Answered: A recent issue of the AARP Bulletin…

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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Complete Part D

A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, January–February, 2010). Suppose you would like to determine if the average weekly pay for all working women is significantly greater than that for women with a high school degree. Data providing the weekly pay for a sample of 50 working women are available in the file named WeeklyPay. These data are consistent with the findings reported in the AARP article. Complete D

null hyposthesis: H(o)=520Alternative hypothesis: H(a): greater then 520
sample mean=637.94
the test statistic = 5.62
p-value=0.00
Using a=.05, we would reject the null hypothesis.
D. Repeat the hypothesis test using the critical value approach.

	582
	333
	759
	633
	629
	523
	320
	685
	599
	753
	553
	641
	290
	800
	696
	627
	679
	667
	542
	619
	950
	614
	548
	570
	678
	697
	750
	569
	679
	598
	596
	557
	657
	617
	1230
	648
	760
	804
	675
	736
	565
	587
	565
	687
	498
	712
	533
	424
	772
	691

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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