Deck 12: Voting Methods

Question 1

Find the midrange. 36 43 15 12 2 38 40 13

Answer 1

22.5

Question 2

The average amount customers at a certain grocery store spend yearly is $647.87. Assume the variable is normally distributed. If the standard deviation is $98.39, find the probability that a randomly selected customer spends less than $677.39.

Answer 2

0.618 = 61.8%

Question 3

For the 8 test scores shown, which score corresponds to a percentile rank of 62.5? 16) 94 23 40 32 64 39 17 54

Answer 3

54

Question 4

Question 5

Question 6

Find the area under the normal distribution curve to the left of z = -1.50.

Question 7

Question 8

For the following data (a) Draw a scatter plot. (b) Find the value for r. (c) Test the significance of r at the 5% level and at the 1% level. (d) If r is significant, find the regression line and draw the line on the scatter plot. (e) Describe the nature of the relationship if one exists. (f) Predict y when x = 20.

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 18

Question 19

Find the area under the normal distribution curve between z = 0 and z = -2.65.

Question 20

Question 21

Question 22

Question 23

For the 8 test scores shown, find the percentile rank of 68. 29 87 68 34 60 31 30 61

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Find the median. 20 21 22 26 27 33 25

Question 32

The average hourly wage of employees of a certain company is $13.74. Assume the variable is normally distributed. If the standard deviation is $4.25, find the probability that a randomly selected employee earns more than $20.54.

Question 33

Question 34

Find the range. 7 40 6 45 26 4 28 46

Question 35

Question 36

Question 37

Question 38

Question 39

Find the variance and standard deviation. 36) 16 6 14 50 6 46

Question 40

Question 41

Find the mean. 12 8 14 12 11 18 18 12

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Find the area under the normal distribution curve between z = 0 and z = 1.25.

Question 50

The average selling price of homes in a certain city is $125,400. Assume the variable is normally distributed with a standard deviation of $62,700. If 151 homes are for sale, how many homes will sell for more than $97,185?

Question 51

Question 52

Question 53

Question 54

Find the mode. 22 16 8 14 16 13 14 34

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Find the area under the normal distribution curve to the left of z = 0.55.

A) 0.291
B) 0.709
C) 0.209
D) -0.209

Question 62

Find the area under the normal distribution curve between z = 0.30 and z = 2.10.

A) 0.600
B) 0.482
C) 0.364
D) 0.118

Question 63

Question 64

An aptitude test has a mean of 400 and a standard deviation of 40. The test scores are normally distributed. If 2500 people take the test, find the number of people who will score between 314 and 490.

A) 35
B) 2430
C) 70
D) 2465

Question 65

For the 20 test scores shown, find the percentile rank for a score of 86. 75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73

A) 30th percentile
B) 75th percentile
C) 70th percentile
D) 80th percentile

Question 66

Find the variance. 2 14 32 31 29 24

A) 139.6
B) 11.82
C) 720.4
D) 116.33

Question 67

$$\begin{array}{l}\text { Use the equation of the regression line to predict } y \text { when } x = 20 \text {. }\\\begin{array} { c | c c c c c } x & 2 & 4 & 3 & 5 & 1 \\\hline y & 20 & 31 & 25 & 32 & 13\end{array}\end{array}$$

A) 111.1
B) 109.9
C) 107.5
D) 105.6

Question 68

$$\begin{array}{l}\text { Find the value for the correlation coefficient } r \text {. }\\\begin{array} { c | c c c c c c } x & 10 & 8 & 7 & 12 & 14 & 5 \\\hline y & 20 & 19 & 17 & 25 & 28 & 9\end{array}\end{array}$$

A) 0.763
B) 0.968
C) 0.874
D) 0.551

Question 69

Question 70

Assume a data set is normally distributed with mean 14 and standard deviation 1.5. If the data set contains 30 data values, approximately how many of the data values will fall within the range 12.5 to 15.5?

A) 13
B) 20
C) 29
D) 10

Question 71

Question 72

Suppose the average size (in square feet) of homes in a certain region is 2101. Assume the variable is normally distributed with standard deviation 120. If a person in the region was intending to build a 2227 square foot home but downsized and built a 1873 square foot home, what was the change in percentile rank from the original plan to the actual home that was built?

A) The change in percentile rank is 71.
B) The change in percentile rank is 94.
C) The change in percentile rank is 82.
D) The change in percentile rank is 12.

Question 73

Determine whether a correlation coefficient of r = -0.67 is significant at the 5% level for a sample size of 10.

A) r is significant at 5%.
B) r is not significant at 5%.

Question 74

Find the area under the normal distribution curve to the right of z = 0.35.

Question 75

Find the standard deviation. 33 38 38 46 27 16

A) 90.67
B) 10.43
C) 9.52
D) 108.8

Question 76

Question 77

Assume a data set is normally distributed with mean 129 and standard deviation 35. If the data set contains 350 data values, approximately how many of the data values will fall within the range 59 to 199?

A) 88
B) 239
C) 123
D) 334

Question 78

Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at work for a group of men.
$\begin{array}{l|c}\text { Name } & \text { Hours } \\\hline \text { Alvin } & 64.9 \\\text { Juan } & 59.1 \\\text { Sean } & 56.9 \\\text { Victor } & 47.7 \\\text { Chan } & 42.7 \\\text { Jacques } & 41.3 \\\text { Philip } & 35.5 \\\text { Roberto } & 29.7\end{array}$

A) mean: 47.225, median: 45.2, mode: no mode, midrange: 47.3
B) mean: 45.2, median: 47.225, mode: 45.2, midrange: 35.2
C) mean: 47.225, median: 47.3, mode: no mode, midrange: 47.3
D) mean: 45.2, median: 47.225, mode: 47.3, midrange: 35.2

Question 79

Question 80

$$\begin{array}{l}\text { Use a scatter plot to determine the relationship between the } x \text { values and the } y \text { values. }\\\begin{array} { c | c c c c c c c } x & 4 & 2 & 7 & 5 & 3 & 6 & 1 \\\hline y & 23 & 11 & 35 & 27 & 19 & 33 & 6\end{array}\end{array}$$

A) Nonlinear relationship
B) Positive linear relationship
C) No relationship
D) Negative linear relationship