AnswersConcepts in Probability and Statistics - MA3120 B-CRTwo-Way Tables

Chapter 10 Part 1 Unit TEST: Data Analysis and Displays Answers

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Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
2
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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
3

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which statement must be true?

A
Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
B
Thanh’s grade is 2.5 points below the mean of the test grades.
C
Thanh’s grade is 2.5 standard deviations above the mean of the test grades.
D
Thanh’s grade is 2.5 points above the mean of the test grades.
4

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. What is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.040.51600.210.58320.370.64430.380.64810.390.65171.000.8413

A
2%
B
17%
C
58%
D
65%
5

A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by . If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?

Question illustration
A
40.5 inches
B
41.4 inches
C
45.0 inches
D
45.9 inches
6

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
7

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

Question illustration
A
x = 14%
B
x = 15%
C
x = 16%
D
x = 18%
8

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.230.59100.330.62930.670.74861.000.84131.330.90821.670.95252.000.9772

A
32%
B
37%
C
42%
D
95%
9

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D
10

Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot.

Question illustration
A
The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
B
The data is symmetric and shows that she never worked more than 5 hours.
C
The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
D
The data is skewed and shows that she never worked more than 5 hours.
11

A normal distribution of data has a mean of 90 and a standard deviation of 18. What is the approximate z-score for the value 64?

A
–3.6
B
–1.4
C
1.4
D
3.6
12

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
13

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
14

The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. What is the life span of an appliance that has a z-score of –3?

Question illustration
A
3 months
B
24 months
C
45 months
D
72 months
15

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10

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