Question

Air Pollution (Questions 18 through 26) The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for cities across the country. Ozone pollution levels are measured using a 500-point scale; lower scores indicate little health risk, and higher scores indicate greater health risk. The following table is a part of the results of an ANOVA: Two Factor without Replication obtained from data on the peak levels of ozone pollution in four cities (Birmingham, Alabama; Memphis, Tennessee; Little Rock, Arkansas; and Jackson, Mississippi) for 10 dates. ANOVA Source of Variation SS df Rows (Dates) 903.025 $df_{BL}$ Columns (Cities) $SS_{TR}$ 3 Error 595.675 27 Total 1658.775 39 18. Formulate the hypotheses to help the EPA determine if the ozone pollution levels vary across these four cities. Use $\alpha = 0.05$. 19.Find the $SS_{TR}$. (Round to three decimal places.) 20. Find the $df_{BL}$. 21.Find the $MS_{TR}$. (Round to two decimal places.) 22.Find the $MS_{E}$. (Round to two decimal places.) 23. Find test statistic for this study. (Round to two decimal places.) 24.Find the Critical Value or p-value. (Circle which you are finding.) (Round to four decimal places.) 25. What is your conclusion in context? Be sure to justify. 26. Which type of error could have been made? a. Type I b. Type II

          Air Pollution (Questions 18 through 26)
The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for
cities across the country. Ozone pollution levels are measured using a 500-point scale; lower
scores indicate little health risk, and higher scores indicate greater health risk.
The following table is a part of the results of an ANOVA: Two Factor without Replication
obtained from data on the peak levels of ozone pollution in four cities (Birmingham, Alabama;
Memphis, Tennessee; Little Rock, Arkansas; and Jackson, Mississippi) for 10 dates.
ANOVA
Source of Variation
SS
df
Rows (Dates)
903.025 $df_{BL}$
Columns (Cities)
$SS_{TR}$
3
Error
595.675
27
Total
1658.775
39
18. Formulate the hypotheses to help the EPA determine if the ozone pollution levels vary
across these four cities. Use $\alpha = 0.05$.
19.Find the $SS_{TR}$. (Round to three decimal places.)
20. Find the $df_{BL}$.
21.Find the $MS_{TR}$. (Round to two decimal places.)
22.Find the $MS_{E}$. (Round to two decimal places.)
23. Find test statistic for this study. (Round to two decimal places.)
24.Find the Critical Value or p-value. (Circle which you are finding.) (Round to four decimal
places.)
25. What is your conclusion in context? Be sure to justify.
26. Which type of error could have been made?
a. Type I
b. Type II

Air Pollution (Questions 18 through 26)
The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for
cities across the country. Ozone pollution levels are measured using a 500-point scale; lower
scores indicate little health risk, and higher scores indicate greater health risk.
The following table is a part of the results of an ANOVA: Two Factor without Replication
obtained from data on the peak levels of ozone pollution in four cities (Birmingham, Alabama;
Memphis, Tennessee; Little Rock, Arkansas; and Jackson, Mississippi) for 10 dates.
ANOVA
Source of Variation
SS
df
Rows (Dates)
903.025 dfBL
Columns (Cities)
SSTR
3
Error
595.675
27
Total
1658.775
39
18. Formulate the hypotheses to help the EPA determine if the ozone pollution levels vary
across these four cities. Use α = 0.05.
19.Find the SSTR. (Round to three decimal places.)
20. Find the dfBL.
21.Find the MSTR. (Round to two decimal places.)
22.Find the MSE. (Round to two decimal places.)
23. Find test statistic for this study. (Round to two decimal places.)
24.Find the Critical Value or p-value. (Circle which you are finding.) (Round to four decimal
places.)
25. What is your conclusion in context? Be sure to justify.
26. Which type of error could have been made?
a. Type I
b. Type II

Added by Lisa O.

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