For tyler16

1. Evaluate the probability of correctly guessing exactly 7 of the 10 questions on this quiz. Use probability of success (since you’ve got a 50-50 chance of guessing each single question correctly) and the binomial distribution probability formula

Answer: P(7) = ___________________________

2. & 3. The following full IQ scores were obtained by testing a group of children who live near a lead smelter and are exposed to high concentrations of lead in the environment:

82	93	85	75	85	80	101	89	80	94
88	104	88	83	104	96	76	80	79	75

2. Complete the following frequency table:

IQ Interval	Frequency
67.5 – 72.5
72.5 – 77.5
77.5 – 82.5
82.5 – 87.5
87.5 – 92.5
92.5 – 97.5
97.5 – 102.5
102.5 – 107.5
107.5 – 112.5

3. Using the 20 raw data scores at top of this page (NOT the frequency table), find the arithmetic mean; median; and mode(s), if any:

Answers: Mean ______________ Median _______________ Mode(s) ______________

4. & 5. A social psychologist gave a survey to 8 active members of a small political action group about how many hours they put into the group's activities each week. The results were as follows: 41, 24, 44, 33, 40, 41, 19, and 30.

4. Compute the arithmetic mean, median, and mode(s), if any (if none, so state)

Answers: Mean ______________ Median _________________ Mode ___________

5. Using the arithmetic mean as the sample mean, compute the sample variance s2 and

sample standard deviation s.

Answers: Variance ___________________ Standard Deviation __________________

6. – 7. A network security specialist records the number of incoming e-mails containing links that six randomly-selected network users receive in a day. Numbers are 65, 71, 88, 100, 73, and 71.

6. Compute the arithmetic mean; median; and mode(s), if any (if none, so state):

Answers: Mean ______________ Median _______________ Mode(s) _________

7. Using the arithmetic mean as the sample mean, compute sample standard

deviation s :

Answer: s = __________________________

8. Multiple Choice: Which histogram below accurately reflects 15 survey responses presented in the following frequency table?

Value	Frequency
1	X
2	XX
3	XXX
4	XXXXX
5	XXX
6	X

HISTOGRAM A HISTOGRAM C

HISTOGRAM B HISTOGRAM D

Answer: __________________

9. One of the initial clinical trials of the anti-math anxiety drug SHOVITALL™ tested for the presence of headaches as a side effect. In the trial, 450 subjects were treated with 80mg of the drug, and 2.2% of the subjects developed headaches. In the binomial distribution of these 450 subjects, what are the mean and standard deviation? Use ∏ = 0.022

Answers: Mean = _______________ Standard Deviation = _________________

10. Multiple Choice: According to the American Chemical Society, there is a 0.9 probability that in the United States, a single randomly selected $1 dollar bill is tainted with traces of cocaine. Assume eight $1 dollar bills are randomly selected. What is the probability that at least six (6) of the $1 dollar bills randomly selected will be tainted with traces of cocaine?

A. P (≥ 6) = 0.962 C. P (≥ 6) = 0.149

B. P (≥ 6) = 0.750 D. P (≥ 6) = 0.813

Answer: _________________________

11) For a normal distribution with mean of 80 and a standard deviation of 8, find the number of standard deviations the raw score 67 is from the mean (Give answer as a positive value rounded to nearest hundredth).

1 2 3 5 3 1

1 5 1 1 6 1

1 2 6 3 2 1

1 5 3 3 2 1

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