# Chapter 1. Standard Normal Distribution

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Stat Tutor
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1:38

### Question 1.1

Incorrect. Measuring the distance of a value from the mean in standard deviation units is standardizing.
Correct. Measuring the distance of a value from the mean in standard deviation units is standardizing.
Incorrect. Try again.
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3:38

### Question 1.2

Incorrect. A z-score for an x-value tells us how many standard deviations the x-value is from the mean.
Correct. A z-score for an x-value tells us how many standard deviations the x-value is from the mean.
Incorrect. Try again.
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### Question 1.3

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Incorrect. Since 100 is the mean, it is zero standard deviations from the mean, i.e., z = 0.
Correct. Since 100 is the mean, it is zero standard deviations from the mean, i.e., z = 0.
Incorrect. Try again.
2

### Question 1.4

Incorrect. 120 is 2 standard deviations above the mean so z=2.0. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (120-100)/10 = 2.0.
Correct. 120 is 2 standard deviations above the mean so z = 2.0. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (120-100)/10 = 2.0.
Incorrect. Try again.
2

6:19

6:19

### Question 1.5

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Incorrect. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (117-100)/10 = 1.7
Correct. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (117-100)/10 = 1.7
Incorrect. Try again.
2

### Question 1.6

Incorrect. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (93-100)/10 = -0.7
Correct. $$z = \frac{(\chi - \mu)}{\sigma}$$ = (93-100)/10 = -0.7
Incorrect. Try again.
2

8:14

### Question 1.7

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Incorrect. The mean of the Standard Normal distribution is µ = 0.
Correct. The mean of the Standard Normal distribution is µ = 0.
Incorrect. Try again.
2

### Question 1.8

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Incorrect. The standard deviation of the Standard Normal distribution is σ = 1.0.
Correct. The standard deviation of the Standard Normal distribution is σ = 1.0.
Incorrect. Try again.
2

### Question 1.9

Incorrect. This is a correct statement.
Correct. This is a correct statement.
Incorrect. Try again.
2

### Question 1.10

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Incorrect. This is a correct statement.
Correct. This is a correct statement.
Incorrect. Try again.
2

8:41

### Question 1.11

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Incorrect. Since the Standard Normal distribution has standard deviation, σ = 1, and the Normal distribution has σ = 8, the Standard Normal distribution is taller and skinnier, but still bell-shaped.
Correct. Since the Standard Normal distribution has standard deviation, σ = 1, and the Normal distribution has σ = 8, the Standard Normal distribution is taller and skinnier, but still bell-shaped.
Incorrect. Try again.
2

### Question 1.12

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Incorrect. This is a correct statement.
Correct. This is a correct statement.
Incorrect. Try again.
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