Part 3 of 4 Step 3: Find the p-value of the test statistic. %3D ANOVA Table SS df MS F Between Within P(F2v

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Chapter4: Equations Of Linear Functions
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Part 3 of 4
Step 3: Find the p-value of the test statistic.
x2
x3 =
T4 :
ANOVA Table
SS
df
MS
F
Between
Within
P(F2
||
Transcribed Image Text:Part 3 of 4 Step 3: Find the p-value of the test statistic. x2 x3 = T4 : ANOVA Table SS df MS F Between Within P(F2 ||
Part 1 of 4
The restaurants of a fast food chain are primarily located in three regions of Arizona. The CEO of the
chain wants to know if the average monthly revenue of the restaurants in each region are equal.
The monthly revenues (in thousads of dollars) for this past month of the restaurants in each of the
three regions are given below. Conduct an ANOVA test using a 5% level of significance to determine
whether or not the average monthly revenues in the three regions are equal.
Monthly Revenues of Restaurants in Region 1:
179, 183.3, 156.8, 155.1, 253, 105.4, 219, 134.3, 119.9, 193.1, 188.5, 188.4
Monthly Revenuse of Restaurants in Region 2:
158.7, 175.2, 187.8, 187.1, 118.1, 179.5, 195.1, 199.7, 349.6, 226.5, 253.7, 287.4, 172.8, 290.5, 149
Monthly Revenuse of Restaurants in Region 3:
215.4, 199.8, 360.7, 273, 250, 214.2, 144.5, 165, 137, 187.6
Step 1: State the null and alternative hypotheses.
Ho: P1 = P2 = H3
Ha: At least one mean isn't equal to the other means v
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
distribution with numerator degrees of freedom
d fbetween
and denominator degrees of freedom d fwithin =
Transcribed Image Text:Part 1 of 4 The restaurants of a fast food chain are primarily located in three regions of Arizona. The CEO of the chain wants to know if the average monthly revenue of the restaurants in each region are equal. The monthly revenues (in thousads of dollars) for this past month of the restaurants in each of the three regions are given below. Conduct an ANOVA test using a 5% level of significance to determine whether or not the average monthly revenues in the three regions are equal. Monthly Revenues of Restaurants in Region 1: 179, 183.3, 156.8, 155.1, 253, 105.4, 219, 134.3, 119.9, 193.1, 188.5, 188.4 Monthly Revenuse of Restaurants in Region 2: 158.7, 175.2, 187.8, 187.1, 118.1, 179.5, 195.1, 199.7, 349.6, 226.5, 253.7, 287.4, 172.8, 290.5, 149 Monthly Revenuse of Restaurants in Region 3: 215.4, 199.8, 360.7, 273, 250, 214.2, 144.5, 165, 137, 187.6 Step 1: State the null and alternative hypotheses. Ho: P1 = P2 = H3 Ha: At least one mean isn't equal to the other means v Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F distribution with numerator degrees of freedom d fbetween and denominator degrees of freedom d fwithin =
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