A study was conducted to compare the costs of supporting a family of four Canadians for a year in different foreign cities. The lifestyle of living in Canada on an annual income of 75,000 $ was the standard against which living in foreign cities was compared.  A comparable living standard in Perth Australia and Mexico City was attained for 64,000$. Suppose an executive wants to determine whether there is any difference in the average annual cost of supporting her family of four in the manner to which they are acccustomed in Perth, Mexico City. She uses the data randomly gathered from 11 random families in each city. She found that the sample mean and standard deviation for Perth Australia was 67,381.82 and 2,296.44 respectively. The mean and standard deviation for the sample of Mexico City was 63,436.36$ and 1,568.61 respectively. She used an alpha of 0.01 to test this difference. She assumes the annual cost is normally distributed and the population variances are equal. What does the executive find? please find: population (one, two or multiple) null H0 null HA graph (left, right or two tailed) distribution (z, t , x^2 or F) left and right critical value  calculated value and whether it is (z calculated, t calculated, x^2 calculated or F calculated) conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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A study was conducted to compare the costs of supporting a family of four Canadians for a year in different foreign cities. The lifestyle of living in Canada on an annual income of 75,000 $ was the standard against which living in foreign cities was compared.  A comparable living standard in Perth Australia and Mexico City was attained for 64,000$. Suppose an executive wants to determine whether there is any difference in the average annual cost of supporting her family of four in the manner to which they are acccustomed in Perth, Mexico City. She uses the data randomly gathered from 11 random families in each city. She found that the sample mean and standard deviation for Perth Australia was 67,381.82 and 2,296.44 respectively. The mean and standard deviation for the sample of Mexico City was 63,436.36$ and 1,568.61 respectively. She used an alpha of 0.01 to test this difference. She assumes the annual cost is normally distributed and the population variances are equal. What does the executive find?

please find:

population (one, two or multiple)

null H0

null HA

graph (left, right or two tailed)

distribution (z, t , x^2 or F)

left and right critical value 

calculated value and whether it is (z calculated, t calculated, x^2 calculated or F calculated)

conclusion

 

 

 

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