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StatTutor Lesson - Conditions for ANOVA

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      Question 1

      86

      Question 1.

      Which condition is required for ANOVA but not for an approximate two-sample t procedure?

      A.
      B.
      C.

      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.
      2

      Question 2

      172

      Question 2.

      When do we consider the condition of equal population standard deviations to be met?

      A.
      B.
      C.

      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.
      2

      Question 3

      202

      Question 3.

      What is the appropriate null hypothesis for comparing the mean sodium contents of the different types of hotdogs?

      A.
      B.
      C.
      D.

      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.
      2

      Question 4

      236

      Question 4.

      What is the appropriate method of data collection for this study?

      A.
      B.
      C.

      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.
      2

      Question 5

      265

      Question 5.

      On the basis of these boxplots, which hotdog type has the highest average sodium content?

      A.
      B.
      C.
      D.

      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.
      2

      Questions 6-8

      317

      Question 6.

      Is the equal standard deviation condition met?

      A.
      B.

      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.
      2

      Question 9

      334

      Question 9.

      For this study P-value = 0.1793 and α = 0.05. Can we reject H0?

      A.
      B.

      Incorrect. Since P-value = 0.1793 is greater than α = 0.05, we cannot reject H0.
      Correct. Since P-value = 0.1793 is greater than α = 0.05, we cannot reject H0.
      Incorrect. Try again.
      2

      Question 10

      363

      Question 10.

      Does the conclusion confirm what we see in the boxplots?

      A.
      B.

      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.
      2