The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data: MenWomenSample mean64.5 years63.6 yearsSample size3539Population standard deviation3.0 years3.5 years If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.

Given : n1=35 , n2=39 , X1-bar=64.5 , X2-bar=63.6 , σ1=3.0 , σ2=3.5 Our aim is to find the p-value.…

Answered: the p-value for this hypothesis test…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data:

	Men	Women
Sample mean	64.5 years	63.6 years
Sample size	35	39
Population standard deviation	3.0 years	3.5 years

If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.

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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