# AMU MATH 125 Test Week 7 answers

## AMU MATH 125 Test Week 7 question 1

The campus dining hall is considering replacing the soft-serve ice cream machine with a “slushie” machine. The student council wants to survey 100 students, so they randomly select 10 class sections and survey all the students in those 10 classes. Determine the type of sample that is generated:

A.random

B.stratified

C.systematic

D.cluster

## AMU MATH 125 Test Week 7 Question 2

A campus book store recorded the subject for textbooks purchased during a three hour period on the first day of class. (R = Religion, C = Chinese, S = Science, N = Nutrition). Construct a frequency distribution for the data.

A.

B.

C.

D.

## AMU MATH 125 Test Week 7 Question 3

The ages of 40 community college students were gathered. Construct a frequency distribution for the data using five classes.

A.

B.

C.

D.

## AMU MATH 125 Test Week 7 Question 4

The grades on a college math exam are shown below. Construct a stem and leaf plot for the data.

A.

B.

C.

D.

## AMU MATH 125 Test Week 7 Question 5

The GPAs of 20 students are given below. Construct a stem and leaf plot for the data using whole numbers as stems and the decimals as leaves.

A.

B.

C.

D.

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## AMU MATH 125 Test Week 7 Question 6

Select whether descriptive or inferential statistics is being use: A recent study showed that drinking caffeine can lower blood pressure.

A.descriptive statistics is used since there is a description of the data

B.inferential statistics is used since an inference is made

C.descriptive statistics is used since an inference is made

D.inferential statistics is used since there is a description of the data.

## AMU MATH 125 Test Week 7 Question 7

Data was gathered regarding the number of stray animals impounded by the humane society within a given year as follows. Which of the following conclusions could be made based on the following bar graph, showing the number of strays on the vertical axis:

A.More cats than any other animal were impounded.

B.There seem to be more stray cats this year than last year.

C.More people have pet cats than pet dogs in this city.

D.The data is wrong. Everyone knows that there are more stray dogs than stray cats.

## AMU MATH 125 Test Week 7 Question 8

The following pie chart represents the frequency distribution the number of freshmen, sophomores, juniors, and seniors who smoke for a certain high school. Which of the following conclusions could you make based on this pie chart:

A.35% of the students who smoke are seniors at this high school.

B.About 25% of all the students in the high school smoke.

C.There are about the same number of juniors and seniors at this high school.

D.The seniors should be better role models for the freshman and quit smoking.

## AMU MATH 125 Test Week 7 Question 9

Fifty ten-year-olds were monitored to determine the number of hours per week they spent watching television, surfing the net, and playing video games. The results were used to obtain following histogram. Which of the following conclusions could you make based on this chart?

A.Most of the ten-year-olds spent between 20-34 hours watching television, surfing the net or playing video games per week.

B.There are zero ten-year-olds who spent between 35-39 hours watching television, surfing the net or playing video games per week.

C.Most of the ten-year-olds spent between 15-19 hours watching television, surfing the net or playing video games per week.

D.Fewer than eleven ten-year-olds spent between 20-29 hours watching television, surfing the net or playing video games per week.

## AMU MATH 125 Test Week 7 Question 10

Select the type of graph that would most appropriately represent the given data: Trend over last 20 years in ridership on public transportation

A.histogram

B.time series graph

C.bar graph

D.pie chart

## AMU MATH 125 Test Week 7 Question 11

Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at work for a group of men.

A.mean: 45, median: 47.025, mode: 45, midrange: 33.4

B.mean: 45, median: 47.025, mode: 48, midrange: 33.4

C.mean: 47.025, median: 45, mode: no mode, midrange: 48

D.mean: 47.025, median: 48, mode: no mode, midrange: 48

## AMU MATH 125 Test Week 7 Question 12

Find the mode: 5 8 2 3 10 4 28 6 17 22

A.10.5

B.7

C.No mode

D.8

## AMU MATH 125 Test Week 7 Question 13

For the following situation, select the measure of average (mean, median, mode or midrange) that was probably used to make this conclusion: People who live in a certain city typically fill up their cars every 10 days.

A.midrange

B.median

C.mean

D.mode

## AMU MATH 125 Test Week 7 Question 14

Find the range, variance, and standard deviation for the given data. The table below shows the average points scored per game by several intramural softball teams. Round to one decimal place.

A.range: 11.8, variance: 16.8, standard deviation: 4.1

B.range: 10, variance: 20.1, standard deviation: 4.5

C.range: 10, variance: 16.8, standard deviation: 4.1

D.range: 11.8, variance: 20.1, standard deviation: 4.5

## AMU MATH 125 Test Week 7 Question 15

Kate scored in the 25th percentile rank on an exam. If 200 students took the exam, how many students scored lower than Kate?

A.51

B.50

C.48

D.49

## AMU MATH 125 Test Week 7 Question 16

Twelve students took a placement exam with the following results:

90 63 99 71 74 93 38 85 47 51 55 81

What is the percentile rank of 90? Round to the nearest percentile.

A.0th percentile

B.75th percentile

C.8th percentile

D.25th percentile

## AMU MATH 125 Test Week 7 Question 17

If a student’s rank in a class of 300 students is 66, find the student’s percentile rank.

A.76

B.78

C.77

D.79

## AMU MATH 125 Test Week 7 Question 18

Find Q1, Q2, and Q3 for the data set below:

5.5,  2.1, 6.9,  3.2,  3.0,  4.8,  2.2,  5.1,  2.0,  3.5

A.Q1 = 2.2

Q2 = 3.35

Q3 = 5.1

B.Q1 = 2

Q2 = 3

Q3 = 5

C.Q1 = 2.15

Q2 = 3

Q3 = 5.25

D.Q1 = 2

Q2 = 3.35

Q3 = 5.4

## AMU MATH 125 Test Week 7 Question 19

Assume a data set is normally distributed with mean 17 and standard deviation 2.5. If the data set contains 40 data values, approximately how many of the data values will fall within the range 14.5 to 19.5?

A.38

B.12

C.16

D.27

## AMU MATH 125 Test Week 7 Question 20

Assume a data set is normally distributed with mean 115 and standard deviation 15. If the data set contains 400 data values, approximately how many of the data values will fall within the range 85 to 145?

A.273

B.110

C.382

D.78

## AMU MATH 125 Test Week 7 Question 21

Find the area under the normal distribution curve between z = 0 and z = 0.90.

A.0.225

B.0.316

C.0.242

D.0.816

## AMU MATH 125 Test Week 7 Question 22

Find the area under the normal distribution curve between z = 0 and z = –0.30.

A.0.118

B.0.487

C.0.618

D.0.020

## AMU MATH 125 Test Week 7 Question 23

Find the area under the normal distribution curve between z = –1.65 and z = 2.45.

A.0.451

B.0.042

C.0.944

D.0.493

## AMU MATH 125 Test Week 7 Question 24

Find the area under the normal distribution curve to the right of z = –1.55.

A.0.939

B.0.439

C.0.061

D.–0.439

## AMU MATH 125 Test Week 7 Question 25

Find the area under the normal distribution curve to the left of z = 0.30.

A.–0.118

B.0.618

C.0.118

D.0.382

AMU MATH 125 Test Week 7 Question 26

The average hourly wage of employees of a certain company is \$10.60. Assume the variable is normally distributed. If the standard deviation is \$4.54, find the probability that a randomly selected employee earns less than \$6.97.

A.0.225 = 22.5%

B.0.316 = 31.6%

C.0.212 = 21.2%

D.0.193 = 19.3%

## AMU MATH 125 Test Week 7 Question 27

The average hourly wage of employees of a certain company is \$14.24. Assume the variable is normally distributed. If the standard deviation is \$4.10, find the probability that a randomly selected employee earns less than \$6.86.

A.0.049 = 4.9%

B.0.017 = 1.7%

C.0.036 = 3.6%

D.0.14 = 14.0%

## AMU MATH 125 Test Week 7 Question 28

The average selling price of homes in a certain city is \$365,300. Assume the variable is normally distributed with a standard deviation of \$68,400. If 497 homes are for sale, how many homes will sell for more than \$317,420?

A.114 homes

B.377 homes

C.317 homes

D.237 homes

## AMU MATH 125 Test Week 7 Question 29

An aptitude test has a mean of 300 and a standard deviation of 40. The test scores are normally distributed. If 1000 people take the test, find the number of people who will score between 240 and 336.

A.125

B.875

C.749

D.251

## AMU MATH 125 Test Week 7 Question 30

Suppose the average size (in square feet) of homes in a certain region is 1534. Assume the variable is normally distributed with standard deviation 160. If a person in the region was intending to build a 1718 square foot home but downsized and built a 1166 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 98.

B.The change in percentile rank is 11.

C.The change in percentile rank is 75.

D.The change in percentile rank is 86.