In a study of media usage versus education level (American Demographics, Vol. 17, No. 6), an index was used to measure media usage, where a measurement of 100 represents the U.S. average. Values above 100 represent above-average media usage. Media Education Level CableNetwork Prime-TimeTV Radio Newspaper Magazine Less than high school 80 112 87 76 85 High school graduate 103 105 100 99 101 Some College 107 94 106 105 107 College graduate 108 90 106 116 108 Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY. Minitab Printout for Media/Education Data Analysis of Variance for Index Source DF SS MS F P Edu 3 961 320 2.96 0.075 Media 4 5 1 0.01 1.000 Error 12 1299 108 Total 19 2264 b) Assume there is no interaction between the factors. Use two-way ANOVA and the following Minitab printout to determine if there is a difference in population mean index based on education. Use α = 0.05. STEP 2: Find the test statistic and P-value. F = P-value = (c) Determine if there is a difference in population mean index based on media. Use α = 0.05. Find the test statistic and P-value. F = P-value =

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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In a study of media usage versus education level (American Demographics, Vol. 17, No. 6), an index was used to measure media usage, where a measurement of 100 represents the U.S. average. Values above 100 represent above-average media usage.

	Media
Education Level	Cable Network	Prime-Time TV	Radio	Newspaper	Magazine
Less than high school	80	112	87	76	85
High school graduate	103	105	100	99	101
Some College	107	94	106	105	107
College graduate	108	90	106	116	108
Source: From American Demographics, Vol. 17, No. 6. Reprinted with permission, copyright 1995 American Demographics, Ithaca, NY.

Minitab Printout for Media/Education Data
Analysis of Variance for Index
Source	DF	SS	MS	F	P
Edu	3	961	320	2.96	0.075
Media	4	5	1	0.01	1.000
Error	12	1299	108
Total	19	2264

b) Assume there is no interaction between the factors. Use two-way ANOVA and the following Minitab printout to determine if there is a difference in population mean index based on education. Use α = 0.05.

STEP 2:

Find the test statistic and P-value.

F	=
P-value	=

Find the test statistic and P-value.

F	=
P-value	=

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