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1.Given and , calculate the zscore for the data point 136. [2K] 2.The number of automobile accidents per week in Pascalville is normally distributed with

1.Given and , calculate the zscore for the data point 136. [2K]

2.The number of automobile accidents per week in Pascalville is normally distributed with a mean of 16.3 accidents and standard deviation of 2.7 accidents. [6A]

a. What is thez-score for a week with fewer than 11 automobile accidents?

b. What is the probability that there will be fewer than 16 automobile accidents in a given week?

c. What is the probability that there will be at least 12 automobile accidents in a given week?

Completion-Complete each statement. [2K]

3. ____________________ divide a set of ordered data into four groups each containing the same number of values.

4. ____________________ divide a set of ordered data into one hundred groups each containing the same number of values.

5. The number of houses a real-estate agent sold each month from January to October are listed below. Calculate the mean, median, and mode for these sales numbers. [3K,1C]

8, 3, 16, 6, 24, 13, 16, 16, 2, 16

6. The mean of the values 9, 11, 13, 21, 24, 18, anddis 17. Findd. [2K,1C]

7. Identify the likely outlier in this set of data. [1K, 1C]

X

17 103 93

54

44

33

26

Y

22 118 19

64

53

40

31

8. A store kept track of the number of advertisements it placed in local newspapers and the number of large-screen TVs it sold each week.

Week

1 2 3 4 5 6 7 8

Advertisements,x

6 5 3 2 1 4 3 2

TVs Sold,y

20 15 12 8 6 7 9 7

a) Determine the equation of the line of best fit using the formula below. [4A]

b) The correlation coefficient isr= 0.86. What does this correlation coefficient suggest about the effectiveness of the advertisements? [3T]

9. The following data were used to make the claim that the rising use of cellphones was causing an increased number of traffic accidents in a city. [4T]

Year Cellphones Sold (thousands) Traffic Accidents
1998 78 3765
1999 104 3802
2000 157 4038
2001 217 4104
2002 476 4298

a) Find the correlation coefficient for these data and classify the correlation between the sales of cellphones and the numbers of traffic accidents.

b) Is it reasonable to conclude that the rising use of cellphones was causing an increase in traffic accidents? Explain why or why not.

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