A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary cereal brands at eye level for children. The store claims that it is not considering sugar content and is stocking the shelves based on other factors. An inspector visited the store and recorded the sugar content per serving listed on the boxes (sugar content for each box is listed under the shelf where that box of cereal is located). Shelf 1 Shelf 2 Shelf 3 Shelf 4 7 13 6 10 8 5 5 14 7 8 11 5 6 11 10 11 3 a) What are the treatment groups, and how many experimental units are there per treatment? b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of each brand of cereal and tested them for sugar content. How many experimental units were there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes for each brand will be in one place] c) State the null hypothesis and create an ANOVA table based on sugar content as the dependent variable and shelf assignment as the treatment. Can we reject the null hypothesis at 90% confidence?
A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary cereal brands at eye level for children. The store claims that it is not considering sugar content and is stocking the shelves based on other factors. An inspector visited the store and recorded the sugar content per serving listed on the boxes (sugar content for each box is listed under the shelf where that box of cereal is located). Shelf 1 Shelf 2 Shelf 3 Shelf 4 7 13 6 10 8 5 5 14 7 8 11 5 6 11 10 11 3 a) What are the treatment groups, and how many experimental units are there per treatment? b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of each brand of cereal and tested them for sugar content. How many experimental units were there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes for each brand will be in one place] c) State the null hypothesis and create an ANOVA table based on sugar content as the dependent variable and shelf assignment as the treatment. Can we reject the null hypothesis at 90% confidence?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question
![A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary
cereal brands at eye level for children. The store claims that it is not considering sugar content and is
stocking the shelves based on other factors. An inspector visited the store and recorded the sugar
content per serving listed on the boxes (sugar content for each box is listed under the shelf where that
box of cereal is located).
Shelf 1
Shelf 2
Shelf 3
Shelf 4
7
13
6
10
8.
5
14
7
8
11
11
10
11
3
a) What are the treatment groups, and how many experimental units are there per treatment?
b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of
each brand of cereal and tested them for sugar content. How many experimental units were
there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes
for each brand will be in one place]
c) State the null hypothesis and create an ANOVA table based on sugar content as the dependent
variable and shelf assignment as the treatment. Can we reject the null hypothesis at 90%
confidence?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F480eb39c-1ce1-4d0b-be3a-7a070158433b%2Feb3df21e-c0a4-481c-9d28-2f6eee539a5e%2Fw829fjw_processed.png&w=3840&q=75)
Transcribed Image Text:A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary
cereal brands at eye level for children. The store claims that it is not considering sugar content and is
stocking the shelves based on other factors. An inspector visited the store and recorded the sugar
content per serving listed on the boxes (sugar content for each box is listed under the shelf where that
box of cereal is located).
Shelf 1
Shelf 2
Shelf 3
Shelf 4
7
13
6
10
8.
5
14
7
8
11
11
10
11
3
a) What are the treatment groups, and how many experimental units are there per treatment?
b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of
each brand of cereal and tested them for sugar content. How many experimental units were
there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes
for each brand will be in one place]
c) State the null hypothesis and create an ANOVA table based on sugar content as the dependent
variable and shelf assignment as the treatment. Can we reject the null hypothesis at 90%
confidence?
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