In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table.5603606881301495827514131321164613121931764297232699883641111427123549434302982454487851931994152875920826756440448295646896353619887107959219101910014111217562At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers?

From the given information, Sample data: { 560 360 688 1301 49 582 751 4131 3211…

Answered: In US, the mean weekly earning of male…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table.

560	360	688	1301	49	582	751	4131	3211	646
1312	1931	764	297	232	699	88	364	1111	427
1235	494	3430	298	245	448	785	1931	994	152
875	920	826	756	440	448	295	646	896	353
619	887	1079	59	219	1019	1001	411	1217	562

At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers?

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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