In a study of media usage versus education level (American Demographics, Vol. 17, No. 6), media usage versus household income also was considered. The media usage indices for the various media and income levels follow. Media Income Level CableNetwork Prime-TimeTV Radio Newspaper Magazine Less than $20,000 78 112 89 80 91 $20,000-$39,999 97 105 100 97 100 $40,000-$74,999 113 92 106 111 105 $75,000 or more 121 94 107 121 105 Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY. Minitab Printout for Media/Income Data Analysis of Variance for Index Source DF SS MS F P Income 3 1078 359 2.77 0.088 Media 4 15 4 0.03 0.998 Error 12 1558 130 Total 19 2651 (b) Assume there is no interaction between the factors. Use two-way ANOVA and the Minitab printout to determine if there is a difference in population mean index based on income. Use α = 0.05. F = P-value = (c) Determine if there is a difference in population mean index based on media. Use α = 0.05. F = P-value =
In a study of media usage versus education level (American Demographics, Vol. 17, No. 6), media usage versus household income also was considered. The media usage indices for the various media and income levels follow. Media Income Level CableNetwork Prime-TimeTV Radio Newspaper Magazine Less than $20,000 78 112 89 80 91 $20,000-$39,999 97 105 100 97 100 $40,000-$74,999 113 92 106 111 105 $75,000 or more 121 94 107 121 105 Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY. Minitab Printout for Media/Income Data Analysis of Variance for Index Source DF SS MS F P Income 3 1078 359 2.77 0.088 Media 4 15 4 0.03 0.998 Error 12 1558 130 Total 19 2651 (b) Assume there is no interaction between the factors. Use two-way ANOVA and the Minitab printout to determine if there is a difference in population mean index based on income. Use α = 0.05. F = P-value = (c) Determine if there is a difference in population mean index based on media. Use α = 0.05. F = P-value =
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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In a study of media usage versus education level (American Demographics, Vol. 17, No. 6), media usage versus household income also was considered. The media usage indices for the various media and income levels follow.
Media | |||||
Income Level | Cable Network |
Prime-Time TV |
Radio | Newspaper | Magazine |
Less than $20,000 | 78 | 112 | 89 | 80 | 91 |
$20,000-$39,999 | 97 | 105 | 100 | 97 | 100 |
$40,000-$74,999 | 113 | 92 | 106 | 111 | 105 |
$75,000 or more | 121 | 94 | 107 | 121 | 105 |
Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY. |
Minitab Printout for Media/Income Data | |||||
Analysis of Variance for Index | |||||
Source | DF | SS | MS | F | P |
Income | 3 | 1078 | 359 | 2.77 | 0.088 |
Media | 4 | 15 | 4 | 0.03 | 0.998 |
Error | 12 | 1558 | 130 | ||
Total | 19 | 2651 |
(b) Assume there is no interaction between the factors. Use two-way ANOVA and the Minitab printout to determine if there is a difference in population mean index based on income. Use α = 0.05.
F | = |
P-value | = |
(c) Determine if there is a difference in population mean index based on media. Use α = 0.05.
F | = |
P-value | = |
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