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- Read  the questions carefully and answer them to the best of your ability.  You may write your answers on this sheet or on the sheet you do your work on, but PLEASE show your work

 

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1.  Evaluate   (probability of success in a Bernoulli trial) for the following values:

 

             n = 10    x = 2    p = 0.6

                                                                                                 

 

 

 

 

           

 

                                                                        Answer:  P(2) =  ___________________________

 

 


 

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

Relative 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 UNGROUPED sample data, find the mean; median; and mode(s), if any:

 

 

 

 

 

 

 

 

 

 

 

 

 

            Answers:  Mean ______________  Median  _________________   Mode ___________

 


 

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 sample mean, median, and mode

 

 

 

 

 

 

 

 

 

 

 

 

 

 

            Answers:  Mean ______________  Median  _________________   Mode ___________

 

 

 

            5.  Compute the sample variance and sample standard deviation.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

            Answers:  Variance  ___________________  Standard Deviation  __________________

           

 


 

6. – 7.  A study of blood cholesterol levels using samples from 80 participants provided the following data:

 

Blood Cholesterol Level (mg/dl)(Interval)

Frequency

149.5 – 169.5

4

169.5 – 189.5

11

189.5 – 209.5

15

209.5 – 229.5

25

229.5 – 249.5

13

249.5 – 269.5

7

269.5 – 289.5

3

289.5 – 309.5

2

 

           

                        6.  Compute the mean and median:

 

 

 

 

 

 

 

 

 

 

 

 

                                                Answers:  Mean ______________  Median  _________________  

 

 

 

                        7.  Compute sample standard deviation.

 

 

 

 

 

 

 

 

 

 

 

 

                                                Answer:  Standard Deviation  __________________________


 

8.  Identify the graphics presented below (enter letter of choice which best describes graph type):

 

       

           

 

 

            _________                                   __________                                   __________               

 

Choices:          a.  broken line graph                c.  double bar graph                e.  ogive                                               b.  histogram                           d.  divided bar graph              f.  pie graph    

 

 

 

 

 

 

 

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 p = 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 six (6) or more 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:  _________________________

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