1. You have the following random samples containing information on annual income (measured in thousands) and marital status for individuals living in urban and rural areas. Urban annual income Urban Married Rural annual income Rural Married 33 Yes 22 Yes 56 Yes 81 Yes 88 No 19 No 43 No 26 Yes 28 Yes 38 Yes 42 Yes 101 No 105 No 31 Yes 90 Yes 29 No 21 Yes 35 Yes 47 No 39 Yes 57 No 66 Yes 19 No 99 No 118 Yes 18 Yes 77 Yes 92 Yes 50 Yes 65 Yes 31 No 48 No The samples have the following standard deviations: S Urban = 30.41 S Rural= 29.26 Test the hypothesis that there is a difference in mean income between people living urban areas and rural areas. Use a 5% level of significance. Test the hypothesis that there is a difference in the proportion of people married between those living in urban areas and those living in rural areas. Use a 5% level of significance.
1. You have the following random samples containing information on annual income (measured in thousands) and marital status for individuals living in urban and rural areas. Urban annual income Urban Married Rural annual income Rural Married 33 Yes 22 Yes 56 Yes 81 Yes 88 No 19 No 43 No 26 Yes 28 Yes 38 Yes 42 Yes 101 No 105 No 31 Yes 90 Yes 29 No 21 Yes 35 Yes 47 No 39 Yes 57 No 66 Yes 19 No 99 No 118 Yes 18 Yes 77 Yes 92 Yes 50 Yes 65 Yes 31 No 48 No The samples have the following standard deviations: S Urban = 30.41 S Rural= 29.26 Test the hypothesis that there is a difference in mean income between people living urban areas and rural areas. Use a 5% level of significance. Test the hypothesis that there is a difference in the proportion of people married between those living in urban areas and those living in rural areas. Use a 5% level of significance.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
1. You have the following random samples containing information on annual income (measured in thousands) and marital status for individuals living in urban and rural areas.
| Urban annual income | Urban Married | Rural annual income | Rural Married |
| 33 | Yes | 22 | Yes |
| 56 | Yes | 81 | Yes |
| 88 | No | 19 | No |
| 43 | No | 26 | Yes |
| 28 | Yes | 38 | Yes |
| 42 | Yes | 101 | No |
| 105 | No | 31 | Yes |
| 90 | Yes | 29 | No |
| 21 | Yes | 35 | Yes |
| 47 | No | 39 | Yes |
| 57 | No | 66 | Yes |
| 19 | No | 99 | No |
| 118 | Yes | 18 | Yes |
| 77 | Yes | 92 | Yes |
| 50 | Yes | 65 | Yes |
| 31 | No | 48 | No |
The samples have the following standard deviations:
S Urban = 30.41 S Rural= 29.26
- Test the hypothesis that there is a difference in mean income between people living urban areas and rural areas. Use a 5% level of significance.
- Test the hypothesis that there is a difference in the proportion of people married between those living in urban areas and those living in rural areas. Use a 5% level of significance.
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