Query 14

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course MTH 152

4:50 p.m. 11/10/13

014. ``q Query 14

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Question: `q Query problem 13.1.6 freq dist 35 IQ scores class width 5

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

• 91-95 1 1/50 = 2%

• 96-100 3 3/50 = 6%

• 101-105 5 5/50 = 10%

• 106-110 7 7/50 = 14%

• 111-115 12 12/50 = 24%

• 116-120 9 9/50 = 18%

• 121-125 8 8/50 = 16%

• 126-130 3 3/50 = 6%

• 131-135 2 2/50 = 4%

confidence rating #$&*: 3

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Given Solution:

`a These numbers might or might not be completely accurate, but the calculation of the relative frequencies as percents follows from the tallies:

91-95 1 1/50 = 2%

96-100 3 3/50 = 6%

101-105 5 5/50 = 10%

106-110 7 7/50 = 14%

111-115 12 12/50 = 24%

116-120 9 9/50 = 18%

121-125 8 8/50 = 16%

126-130 3 3/50 = 6%

131-135 2 2/50 = 4% **

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Self-critique (if necessary): Okay

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Self-critique Rating: Okay

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Question: `q Query problem 13.1.10 stem and leaf for yards gained by 44 rushers

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

0 3 7

1 2 6 8 9

2 2 4 5 8 9 9

3 0 2 3 3 6 6 7 9

4 0 1 2 3 3 5 6 9

5 1 4 5 8 6 0 2 7

7 3 3 9

8 6 8

9 4

10 2

11 2

12 3

confidence rating #$&*: 3

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Given Solution:

`aIn order we get the following:

0 3 7

1 2 6 8 9

2 2 4 5 8 9 9

3 0 2 3 3 6 6 7 9

4 0 1 2 3 3 5 6 9

5 1 4 5 8 6 0 2 7

7 3 3 9

8 6 8

9 4

10 2

11 2

12 3 **

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Self-critique (if necessary): Okay

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Self-critique Rating: Okay

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Question: `q Query problem 13.1.35 empirical probability distribution for letters of alphabet

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Your solution:

• The probability of choosing an A is .08. When we divide this by the total probability of choosing A, E, I, O, or U, (which the book tells us is .385), then we get a probability of .208.

• The probability of choosing an E is .13. When we divide this by the total probability of choosing A, E, I, O, or U, we get a probability of .338.

• The probability of choosing an I is .065. Divided by .385, the probability of choosing an I is then .169.

• The probability of choosing an O is .08. Divided by .385, the probability of choosing an O is, like the final probability of choosing an A, .208.

• The probability of choosing a U is .03. Divided by .385, the probability of choosing a U is then .078.

confidence rating #$&*: 2

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Given Solution:

`aThe probabilities for A, E, I, O, U are:

.08. .13, .065, .08, .03.

The sum of these probabilities is .385

The probabilities of the letters given a vowel:

.08 / .385 = .208

.13 / .385 = .338

.065 / .385 = .169

.08 / .385 = .208

.03 / .385 = .078

These probabilities total 1. **

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