Devry MATH225 Week 4 Quiz Latest 2019 JULY Question # 00603496 Subject: Mathematics Due on: 08/08/2019 Posted On: 08/08/2019 08:09 AM Tutorials: 1 Rating: 4.7/5

MATH225 Statistical Reasoning for the Health Sciences

Week 4 Quiz

Question 1 Alice
sells boxes of candy at the baseball game and wants to know the mean number of
boxes she sells. The numbers for the games so far are listed below.

16,14,14,21,15

Find the
mean boxes sold.

Question 2 Given
the following list of prices (in thousands of dollars) of randomly selected
trucks at a car dealership, find the median.

20,46,19,14,42,26,33

Question 3 Each
person in a group shuffles a deck of cards and keeps selecting a card until a
queen appears. Find the mode of the following number of cards drawn from a deck
until a queen appears.

3,12,3,11,5,5,3,10,12

Question 4 The
dataset below represents bugs found by a software tester in her product during
different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200.

The
measures of central tendency are given below:

Mean:
104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central
tendency that is affected by the outlier.

The outlier
is 98. The mode is affected by the outlier.

The outlier
is 98. The mean is affected by the outlier.

The outlier
is 200. The median is affected by the outlier.

The outlier
is 200. The mean is affected by the outlier.

Question 5 Given
the following histogram, decide if the data is skewed or symmetrical.

A bar graph
has a horizontal axis titled Values labeled from 2 to 18 in increments of 2 and
a vertical axis titled Frequency labeled from 0 to 200 in increments of 50. 14
bars are plotted, above the numbers 2 to 16. From left to right, the heights of
the bars are as follows: 1. 5. 10. 40, 75, 125, 190, 180, 130, 125, 60, 25,20,
10. All values are approximate.

Question 6 The
following data set represents the ages of all seven grandchildren in a family.

4, 5, 11,
12, 11, 8, 5

If the
variance of the ages is 9.7, what is the standard deviation?

• Round the final answer to one
decimal place.

Question 7 Which
of the data sets represented by the following box and whisker plots has the
smallest standard deviation?

Four
horizontal box-and-whisker plots share a vertical axis with the classes D, C,
B, and A and a horizontal axis from 0 to 120 in increments of 20. The
box-and-whisker plot above the class label A has the following five-number
summary: 44, 69, 77, 82, and 112. The box-and-whisker plot above the class
label B has the following five-number summary: 19, 64, 78, 87, and 121. The
box-and-whisker plot above the class label C has the following five-number
summary: 60, 72, 75, 80, and 92. The box-and-whisker plot above the class label
D has the following five-number summary: 2, 63, 77, 92, and 138. All values are
approximate.

A

B

C

D

Question 8 The
box-and-whisker plot shows the number of books read by history students during
the last school year.

A box and
whisker plot with minimum 4, first quartile 6, median 8, third quartile 10, and
maximum 15

What is the
range of the data?

Question 9 A
random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft
and sample standard deviation of s=124.6 sq ft.
Use the Empirical Rule to determine the approximate percentage of house
sizes that lie between 955.7and 1454.1 sq ft.

Round your
answer to the nearest whole number (percent).

Question 10
Is the statement below true or false?

Independent
is the property of two events in which the knowledge that one of the events
occurred does not affect the chance the other occurs.

True

False

Question 11
Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total
of 416 times. Calculations show that the probability of this occurring by
chance is less than 0.01, assuming the coin is fair. Determine the meaning of
the significance level.

We expect
that 416 of every 500 coin tosses will result in heads.

At the 0.01
level of significance, the coin is likely not a fair coin.

There is
certainty that the coin is not a fair coin.

The results
are not statistically significant at the 0.05 level of significance.

Question 12
A spinner contains the numbers 1 through 80. What is the probability that the
spinner will land on a number that is not a multiple of 11?

• Give your answer in fraction form.

Question 13
Of the following pairs of events, which pair has mutually exclusive events?

rolling a
sum greater than 7 from two rolls of a standard die and rolling a 4 for the
first throw

drawing a 2
and drawing a 4 with replacement from a standard deck of cards

rolling a
sum of 9 from two rolls of a standard die and rolling a 2 for the first roll

drawing a
red card and then drawing a black card with replacement from a standard deck of
cards

Question 14
Fill in the following contingency table and find the number of students who
both go to the beach AND go to the mountains.

StudentsgotothebeachdonotgotothebeachTotalgotothemountains48donotgotothemountains21Total3695

Question 15
A group of 140 students at an elementary school were asked if they prefer the
color orange to the color green. The results are shown in the table below.
Given that a randomly selected survey participant is a male, what is the
probability that this student prefers the color green?

• Enter your answer as a fraction.

Male Female Total

Orange 12 50 62

Green 5 73 78

Total 17 123 140

Question 16
Researchers want to study whether or not a fear of flying is related to a fear
of heights. They surveyed a large group of people and asked them whether or not
they had a fear of flying and whether or not they had a fear of heights. The
data are shown in the contingency table below. What is the relative risk of
being afraid of heights for those who are afraid of flying? Round your answer
to two decimal places.

Afraid of
flyingNot afraid of flyingTotalAfraid of heights7682158Not afraid of
heights33370403Total109452561

Question
17Which of the following frequency tables show a skewed data set? Select all
answers that apply.

•

Value Frequency

5 1

6 2

7 10

8 11

9 17

10 17

11 15

12 12

13 7

14 7

15 0

16 1

• ________________________________________

•

Value Frequency

5 1

6 3

7 8

8 10

9 13

10 26

11 14

12 12

13 8

14 3

15 1

16 1

• ________________________________________

•

Value Frequency

12 1

13 1

14 3

15 6

16 23

17 29

18 19

19 15

20 3

• ________________________________________

•

Value Frequency

0 5

1 16

2 23

3 19

4 22

5 9

6 4

7 2

• ________________________________________

Question 18
A student wants to know his average homework grade for the first half of his
math class. There were 7 homeworks in the first half of the class, and his
grades out of 100 are given by

100,90,95,89,92,85,95.

What is the
population mean of his homework grades? Round your answer to the nearest tenth.

Question 19
The following data set represents the ages of all six grandchildren in a
family.

Find the
variance for this data set of ages:

6, 3, 14,
11, 14, 6

• Round the final answer to one
decimal place.

Question 20
A poll was conducted during the final game of the basketball season to
determine whether fans wanted to see the defending champions win the game or
the challenging team win the game. From the poll, 216 of the 374 residents
sampled from urban areas want the defending champions to win the game. In more
rural areas, 304 of the 466 residents polled want the defending champions to
win the game. Assuming location has nothing to do with team preference, the
probability that the data gathered was the result of chance is calculated to be
0.03. What is the correct interpretation of this calculation?

More people
from rural areas want the defending champions to win the game.

Exactly 216
out of every 374 urban residents want the defending champions to win the game.

The results
are statistically significant at the 0.05 level of significance in showing that
the proportion of people in rural areas who want the defending champions to win
the game is different than the proportion of people in urban areas.

The data is
not statistically significant at the 0.05 level of significance in showing that
the proportion of people in rural areas who want the defending champions to win
the game is different than the proportion of people in urban areas.

Question 21
Find the mode of the following amounts (in thousands of dollars) in savings
accounts of randomly selected people aged 25-30.

8,6,8,7,2,2,2,4,4,4,4,7

Question 22
A deck of cards contains red cards numbered 1,2,3,4,5,6, blue cards numbered
1,2,3,4,5 and green cards numbered 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18.
If a single card is picked at random, what is the probability that the card is
green?

Question 23
The five-number summary for a set of data is given below.

Min Q1 Median Q3 Max

51 56 61 69 74

What is the
interquartile range of the set of data?

Question 24
The five-number summary for a set of data is given below.

Min Q1 Median Q3 Max

57 64 67 75 84

What is the
interquartile range of the set of data?

Question 25
The following frequency table summarizes a set of data. What is the five-number
summary?

Value Frequency

1 3

3 2

6 1

7 1

8 3

11 3

13 1

15 1

Min Q1 Median Q3 Max

1 3 8 11 15

Min Q1 Median Q3 Max

1 4 5 8 15

Min Q1 Median Q3 Max

1 3 7 11 15

Min Q1 Median Q3 Max

1 8 9 13 15

Min Q1 Median Q3 Max

1 4 12 13 15