# Chapter 1. The Idea of Analysis of Variance

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Stat Tutor
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0:48

### Question 1.1

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Incorrect. "Observed variation" measures the variation between the sample means.
Correct. "Observed variation" measures the variation between the sample means.
Incorrect. Try again.
2

2:22

### Question 1.2

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Incorrect. There is no variation between the sample means in Case 1.
Correct. There is no variation between the sample means in Case 1.
Incorrect. Try again.
2

2:48

### Question 1.3

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Incorrect. The "observed variation" should be approximately equal to the "expected variation" if the null hypothesis is correct.
Correct. The "observed variation" should be approximately equal to the "expected variation" if the null hypothesis is correct.
Incorrect. Try again.
2

4:21

### Question 1.4

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Incorrect. There is a lot of variation between the sample means in Case 2.
Correct. There is a lot of variation between the sample means in Case 2.
Incorrect. Try again.
2

4:35

### Question 1.5

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Incorrect. The "observed variation" will be much greater than the "expected variation" if the population means are not all equal.
Correct. The "observed variation" will be much greater than the "expected variation" if the population means are not all equal.
Incorrect. Try again.
2

### Question 1.6

Incorrect. "Expected variation" is measured by measuring the variability between the individual measurements within the samples.
Correct. "Expected variation" is measured by measuring the variability between the individual measurements within the samples.
Incorrect. Try again.
2

7:00

### Question 1.7

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Incorrect. Since the population means are equal, the variation between the sample means is approximately equal to the variation within the samples.
Correct. Since the population means are equal, the variation between the sample means is approximately equal to the variation within the samples.
Incorrect. Try again.
2

8:32

### Question 1.8

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Incorrect. Since the population means are all different, the variation between the sample means is much much greater than the variation within the samples.
Correct. Since the population means are all different, the variation between the sample means is much much greater than the variation within the samples.
Incorrect. Try again.
2

### Question 1.9

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Incorrect. We use the sample standard deviations to compute the variability within the individuals in the samples (i.e., the "expected variation") in the denominator of the F test statistic.
Correct. We use the sample standard deviations to compute the variability within the individuals in the samples (i.e., the "expected variation") in the denominator of the F test statistic.
Incorrect. Try again.
2

10:14

### Question 1.10

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Incorrect. If the value of the F test statistic is approximately 1.0, then we do not have evidence to reject H0 and the P-value will not be very close to zero.
Correct. If the value of the F test statistic is approximately 1.0, then we do not have evidence to reject H0 and the P-value will not be very close to zero.
Incorrect. Try again.
2

10:52

### Question 1.11

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Incorrect. The computations are complicated and use of software is recommended.
Correct. The computations are complicated and use of software is recommended.
Incorrect. Try again.
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