Here we are interested in finding whether or not shelf height has an affect on the sugar content of the cereal. First calculate all of the treatment means and the main effects on a separate sheet of paper. Question 1. Find SSA, the sum of the squares of the between-group variation (variation of factor A), and SSE, the sum of the squares of the within-group variation (variation of the noise). SSA (use 4 decimal places) SSE (use 4 decimal places) Question 2. Find MSA, the mean square of the between-group variation, and MSE, the mean square of the within-group variation. MSA (use 4 decimal places) MSE (use 4 decimal places) Question 5. What is the value of the F test statistic? (use 2 decimal places) Question 7. This F statistics gives a p-value between of less than .01. What is the appropriate conclusion? O Conclude that the mean sugar content of cereal is significantly different for different shelf locations. O Conclude that there is no significant difference in the mean sugar content of cereals placed on different shelf locations.

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Here we are interested in finding whether or not shelf height has an affect on the sugar content of the cereal. First calculate all of the treatment means and the
main effects on a separate sheet of paper.
Question 1. Find SSA, the sum of the squares of the between-group variation (variation of factor A), and SSE, the sum of the squares of the within-group
variation (variation of the noise).
SSA (use 4 decimal places)
SSE (use 4 decimal places)
Question 2. Find MSA, the mean square of the between-group variation, and MSE, the mean square of the within-group variation.
MSA (use 4 decimal places)
MSE (use 4 decimal places)
Question 5. What is the value of the F test statistic?
(use 2 decimal places)
Question 7. This F statistics gives a p-value between of less than .01. What is the appropriate conclusion?
Conclude that the mean sugar content of cereal is significantly different for different shelf locations.
Conclude that there is no significant difference in the mean sugar content of cereals placed on different shelf locations.
Transcribed Image Text:Here we are interested in finding whether or not shelf height has an affect on the sugar content of the cereal. First calculate all of the treatment means and the main effects on a separate sheet of paper. Question 1. Find SSA, the sum of the squares of the between-group variation (variation of factor A), and SSE, the sum of the squares of the within-group variation (variation of the noise). SSA (use 4 decimal places) SSE (use 4 decimal places) Question 2. Find MSA, the mean square of the between-group variation, and MSE, the mean square of the within-group variation. MSA (use 4 decimal places) MSE (use 4 decimal places) Question 5. What is the value of the F test statistic? (use 2 decimal places) Question 7. This F statistics gives a p-value between of less than .01. What is the appropriate conclusion? Conclude that the mean sugar content of cereal is significantly different for different shelf locations. Conclude that there is no significant difference in the mean sugar content of cereals placed on different shelf locations.
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Parents with young children are convinced that supermarkets place high-sugar cereals on shelves that are at eye-level with children. This strategy supposedly
increases the likelihood that mom or dad will be forced to silence a whining child by placing the cereal box with the pirate or bunny rabbit on the front in the grocery
cart.
The data shown below indicate a cereal's shelf location with values 1, 2, or 3 where 1 is the lowest shelf; shelf 2 is the shelf level most likely to be at a child's eye
level; and shelf 3 is the highest. Here we are interested in doing an ANOVA with only 1 factor (shelf height) that has 3 levels. Below you find the unstacked data
which includes the sugar content and self height.
Shelf Location
Cereal
Sugar Content
Cheerios
.03
.07
.13
.44
History Bookmarks Window Help
۱۱ وار او اداره گا
Corn Flakes
Wheaties
Cap'n Crunch
Frosted Flakes.39
Special K
Cocoa Puffs
Lucky Charms.43
Fruit Loops
Apple Jacks
Corn Pops
Trix
Harmony
Smart Start
Bran Flakes
Rice Krispies
Kashi
Fiber One
.13
.47
.47
.48
.45
.43
.24
.30
.17
.09
.21
.11
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DEC
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Fri Dec 9 2:16 PM
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Transcribed Image Text:N Safari File Edit View My Dri... 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 V U < 11 C Clems... 31 Clems... M Inbox (... D Two-F... W review -... b Answe... Parents with young children are convinced that supermarkets place high-sugar cereals on shelves that are at eye-level with children. This strategy supposedly increases the likelihood that mom or dad will be forced to silence a whining child by placing the cereal box with the pirate or bunny rabbit on the front in the grocery cart. The data shown below indicate a cereal's shelf location with values 1, 2, or 3 where 1 is the lowest shelf; shelf 2 is the shelf level most likely to be at a child's eye level; and shelf 3 is the highest. Here we are interested in doing an ANOVA with only 1 factor (shelf height) that has 3 levels. Below you find the unstacked data which includes the sugar content and self height. Shelf Location Cereal Sugar Content Cheerios .03 .07 .13 .44 History Bookmarks Window Help ۱۱ وار او اداره گا Corn Flakes Wheaties Cap'n Crunch Frosted Flakes.39 Special K Cocoa Puffs Lucky Charms.43 Fruit Loops Apple Jacks Corn Pops Trix Harmony Smart Start Bran Flakes Rice Krispies Kashi Fiber One .13 .47 .47 .48 .45 .43 .24 .30 .17 .09 .21 .11 Best A... DEC 9 Harvey... webassign.net 2 tv review NA @ X ↓ Messa... zoom Fri Dec 9 2:16 PM XLSX Break... ៗ 40 and Gree ...aphic. F XLSX ______ T3 (Auto ed).xlsx ot 8 PM ata_Co ion eenshot 2...6.54
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