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4. Carolina, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000) are shown below in Table 4. Table 4. Sales at 3 Carolina, Inc. Stores (in $1,000) Store 1 Store 2 Store 3 88 76 85 84 78 67 88 60 58 82 62 93 At 95% confidence, test to see if there is a significant difference in the average sales of the three stores. Show your complete work and the ANOVA table. Be sure to report your hypotheses and explain the meaning of your answer in the context of the question. 5. A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below in Table 5. Table 5. The Prevalence of E. Coli in Organic and Conventional Produce Organic Conventional Sample Size E. Coli Prevalence 200 3 500 20 Is there a significant difference in the proportion of E. Coli in organic vs. conventionally grown produce? Test at $\alpha = 0.10$. Be sure to report your hypotheses, show all work, and explain the meaning of your answer. 6. A group of 2000 individuals from 3 different cities were asked whether they owned a foreign or a domestic car. The following contingency table (Table 6) shows the results of the survey. Table 6. Contingency table for Type of Car and City of Residence Type of Car Detroit Atlanta Denver Total Domestic 80 200 520 800 Foreign 120 600 480 1200 Total 200 800 1000 2000 At $\alpha = 0.05$ and using the p-value approach, test to determine if the type of car purchased is independent of the city in which the purchasers live. Be sure to report your hypotheses, show all work, and explain the meaning of your answer. For additional practice using these concepts: (these are not required as a part of the problem set) • Population mean: $\sigma$ known: Chapter 10, Exercises #1, #2, #3, #5 • Population mean: $\sigma$ unknown: Chapter 10, Exercises #9, #10, #11, #14, #15, #43 • Matched Sample: Chapter 10, Exercises #19, #20, #25, #26 • ANOVA: Chapter 10, Exercises #27, #28, #29, #35, #38, #46 • Developing hypothesis & errors: Chapter 9, Exercises #3, #5 • Population proportion; Interval Estimate +hypothesis testing: Chapter 11, Exercises #1, #2, #7, #10 • Testing equality for multiple population proportion: Chapter 11, Exercises #11, #12, #17 • Test of Independence: Chapter 11, Exercise #19, #25, #26

Name: 4 carolina inc has three stores located in three different areas random samples of the sales of the three stores in 1000 are shown below in table 4 table 4 sales at 3 carolina inc stores in 64626
Uploaded: 2023-05-06T10:06:04-08:00
Duration: 1 min 25 s
Channel: Adi S
Description: 4 carolina inc has three stores located in three different areas random samples of the sales of the three stores in 1000 are shown below in table 4 table 4 sales at 3 carolina inc stores in 64626

4. Carolina, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000) are shown below in Table 4.
Table 4. Sales at 3 Carolina, Inc. Stores (in $1,000)
Store 1 Store 2 Store 3
88 76 85
84 78 67
88 60 58
82 62
93
At 95% confidence, test to see if there is a significant difference in the average sales of the three stores. Show your complete work and the ANOVA table. Be sure to report your hypotheses and explain the meaning of your answer in the context of the question.
5. A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below in Table 5.
Table 5. The Prevalence of E. Coli in Organic and Conventional Produce
Organic Conventional
Sample Size E. Coli Prevalence
200 3
500 20
Is there a significant difference in the proportion of E. Coli in organic vs. conventionally grown produce? Test at $\alpha = 0.10$. Be sure to report your hypotheses, show all work, and explain the meaning of your answer.
6. A group of 2000 individuals from 3 different cities were asked whether they owned a foreign or a domestic car. The following contingency table (Table 6) shows the results of the survey.
Table 6. Contingency table for Type of Car and City of Residence
Type of Car Detroit Atlanta Denver Total
Domestic 80 200 520 800
Foreign 120 600 480 1200
Total 200 800 1000 2000
At $\alpha = 0.05$ and using the p-value approach, test to determine if the type of car purchased is independent of the city in which the purchasers live. Be sure to report your hypotheses, show all work, and explain the meaning of your answer.
For additional practice using these concepts: (these are not required as a part of the problem set)
• Population mean: $\sigma$ known: Chapter 10, Exercises #1, #2, #3, #5
• Population mean: $\sigma$ unknown: Chapter 10, Exercises #9, #10, #11, #14, #15, #43
• Matched Sample: Chapter 10, Exercises #19, #20, #25, #26
• ANOVA: Chapter 10, Exercises #27, #28, #29, #35, #38, #46
• Developing hypothesis & errors: Chapter 9, Exercises #3, #5
• Population proportion; Interval Estimate +hypothesis testing: Chapter 11, Exercises #1, #2, #7, #10
• Testing equality for multiple population proportion: Chapter 11, Exercises #11, #12, #17
• Test of Independence: Chapter 11, Exercise #19, #25, #26

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