# Chapter 1. Conditions for ANOVA

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Stat Tutor
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1:26

### Question 1.1

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Incorrect. Both Normality and Independence were required for an approximate two-sample t procedure; equal population standard deviations is required for ANOVA, but not an approximate two-sample t procedure.
Correct. Both Normality and Independence were required for an approximate two-sample t procedure; equal population standard deviations is required for ANOVA, but not an approximate two-sample t procedure.
Incorrect. Try again.
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2:52

### Question 1.2

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Incorrect. The largest standard deviation divided by the smallest needs to be less than 2.0 for the equal population standard deviation to be met.
Correct. The largest standard deviation divided by the smallest needs to be less than 2.0 for the equal population standard deviation to be met.
Incorrect. Try again.
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3:22

### Question 1.3

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Incorrect. We need to compare the means for three types of hotdogs, so we need three means in our null hypothesis: H0: µ1 = µ2 = µ3.
Correct. We need to compare the means for three types of hotdogs, so we need three means in our null hypothesis: H0: µ1 = µ2 = µ3.
Incorrect. Try again.
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3:56

### Question 1.4

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Incorrect. We cannot assign hotdogs to type—they are made that way. Nor can we randomize the order in which the hotdogs will be of each type. We must randomly select hotdogs from hotdogs of the three different types.
Correct. We cannot assign hotdogs to type—they are made that way. Nor can we randomize the order in which the hotdogs will be of each type. We must randomly select hotdogs from hotdogs of the three different types.
Incorrect. Try again.
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4:25

### Question 1.5

Incorrect. Since the boxplots appear to overlap, we cannot say the one type has a higher mean sodium content than the others.
Correct. Since the boxplots appear to overlap, we cannot say the one type has a higher mean sodium content than the others.
Incorrect. Try again.
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5:17

### Question 1.6

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Incorrect. Because the largest standard deviation divided by the smallest equals 1.21 which is less than 3, we can say that the equal standard deviation condition is met.
Correct. Because the largest standard deviation divided by the smallest equals 1.21 which is less than 3, we can say that the equal standard deviation condition is met.
Incorrect. Try again.
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### Question 1.7

Incorrect. Fortunately, because there is an outlier, the total sample size of 54 is large enough to apply the Central Limit Theorem.
Correct. Fortunately, because there is an outlier, the total sample size of 54 is large enough to apply the Central Limit Theorem.
Incorrect. Try again.
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### Question 1.8

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Incorrect. A hotdog can only be classified into the three types: beef, meat and poultry. No hotdog can fit into more than one category.
Correct. A hotdog can only be classified into the three types: beef, meat and poultry. No hotdog can fit into more than one category.
Incorrect. Try again.
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5:34

### Question 1.9

Incorrect. Since P-value = 0.1793 is greater than $$\alpha$$ = 0.05, we cannot reject H0.
Correct. Since P-value = 0.1793 is greater than $$\alpha$$ = 0.05, we cannot reject H0.
Incorrect. Try again.
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6:03

### Question 1.10

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Incorrect. Since the boxplots overlapped, we could not see a difference between the means. The ANOVA test confirms this.
Correct. Since the boxplots overlapped, we could not see a difference between the means. The ANOVA test confirms this.
Incorrect. Try again.
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