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Statistics Inference

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Ms. Cassermere finds that 15 out of 20 students in her sample pick "On My Block" as their favorite tv show.

There are 100 students in 7th Grade. How many total students in 7th Grade would you expect to like "On My Block" the most?

Make an equivalent fraction to solve:  1520=?100\frac{15}{20}=\frac{?}{100}  

a)

15

b)

27

c)

45

d)

75

2.

Maria collects data from a random sample of 7th graders in her school and finds that 16 out of 20 7th graders participate in after-school activities. How many students should Maria expect to participate in after-school activities if 240 total 7th graders attend Maria's school? Write the numerical answer only.

(a)  

3.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select all that apply.

a)

Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

b)

In a group of 40 customers, it is expected that about 10 will pay with cash.

c)

About 0.3, or 30%, of all the store's customers will pay with a credit card.

d)

A sample of 100 customers would provide less reliable data.

4.

Using your inference skills and proportional reasoning, predict the number of purple jellybeans in a bag of 200 total jellybeans if a random sample of 25 resulted in 4 purple jellybeans. I predict there will be (a)   purple jellybeans.

5.

The manager of a music store surveyed a random sample of customer who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music. Based on the information in the table, which inference about the favorite type of music of all the customers who shop in the music store appears to be valid?

a)

They are certain to select rock or pop music.

b)

They are less likely to select country or rap music than rock music.

c)

They are more likely to select country music than jazz, classical, or rap music.

d)

They are certain to select any type of music other than jazz music.

6.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select two answer choices.

a)

Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

b)

In a group of 40 customers, it is expected that about 10 will pay with cash.

c)

About 30% of all the store's customers will pay with a credit card.

d)

A sample of 100 customers would provide less reliable data.

7.

The manager of a music store surveyed a random sample of customer who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music. Based on the information in the table, which inference about the favorite type of music of all the customers who shop in the music store appears to be valid?

a)

They are certain to select rock or pop music.

b)

They are less likely to select country or rap music than rock music.

c)

They are more likely to select country music than jazz, classical, or rap music.

d)

They are certain to select any type of music other than jazz music.

8.

Yadira wanted to estimate the mean number of words per page in a 180-page book she is reading. Which if these sampling methods gives the best estimate of the mean word count per page in the book?

a)

Count the words on one randomly chosen page.

b)

Calculate the mean word count for a sample consisting of the pages with pictures.

c)

Calculate the mean word count for a sample of 20 pages selected by choosing every 9th page.

d)

Calculate the mean word count for a sample consisting of the 10 pages that appear to have the most words.

9.

Johanna was running for class president. She wanted to know if she had a good chance of winning the election, so she decided to have her classmates help her with surveys. Michael surveyed a random sample of 10 students from the school. 7 of them said they would vote for Johanna. If there are 230 students in the school, and all of them vote, what is Michael’s best estimate of the number of students who would vote for Johanna? (a)   students

10.

What is the sample?

a)

All students at Commodore

b)

All students in section 702

c)

The 10 students Mr. Cardarella picks

d)

All students in 7th grade

11.

a)

2

b)

4

c)

8

d)

16

12.
a)

100

b)

150

c)

200

d)

250

13.

Petunia conducted a random survey of students to determine the favorite genre of music of 50 students. The results are shown in the bar graph. Based on the information in the graph, which inference about the students is valid?

a)

Girls like country music more than boys like rap music

b)

More girls than boys like rock music

c)

Boys like country music more than rock music

d)

Boys like rock music more than girls like rap music

14.

A survey was taken at a school of 30 students favorite food. The circle graph shows the number of students who selected each. Based on the information in the graph, which inference about the favorite food of all students appears to be valid?

a)

It is certain that a student will choose Pizza

b)

It is less likely that a student will choose Pasta or Hamburgers over Pizza

c)

It is certain that a student will NOT choose Pasta

d)

It is more likely that a student will choose Pizza over Hamburgers, Pasta, or Other combined

15.

A random survey was conducted at an office about the workers favorite office supply. The results are shown in the table below. Based on the information in the table, which inference about favorite office supply of all the workers appears to be valid?

a)

It is certain that an office worker will NOT choose Tape as their favorite office supply

b)

It is certain that an office worker will choose Paper as their favorite office supply

c)

It is more likely that an office worker will choose Pens, Staplers, or Paper Clips over Paper

d)

More people like Staplers or Paper Clips over Pens/Pencils

16.

A random survey was conducted with 6th and 7th graders of their favorite sport. The results are shown in the bar graph. Based on the information in the graph, which inference about all 6th and 7th graders is valid?

a)

6th graders like Basketball more than Football

b)

More 6th graders than 7th graders like Soccer

c)

6th graders like Soccer more than 7th graders like Baseball

d)

7th graders like Football more than they like Basketball

17.

The circle graph shows the results of a random survey of students who plan to attend the school dance. Based on the information in the graph, which inference about the general population of students is valid?

a)

More 6th graders than 7th and 8th graders plan to attend the dance

b)

8th graders do not like to dance

c)

It is certain that a 6th grader will attend the dance

d)

It is more likely that a 7th grader will attend the dance than a 8th grader attending

18.

The results of a random survey about a person's favorite pet is shown in the table. Based on the information in the table, which inference about the favorite pet of the general population appears to be valid?

a)

It is certain that a person will choose Dog as their favorite pet

b)

It is less likely a person will choose Dog than Cat or Fish

c)

It is more likely a person will choose Fish or Bird than Cat

d)

Dogs are liked more than all other animals combined

19.

A random survey of people at the mall was taken to determine favorite color. The results are shown in the circle graph. Based on the information in the graph, which inference about the general population is valid?

a)

It is more likely someone will choose Blue than Red or Pink

b)

It is certain that someone will NOT choose Black

c)

It is less likely someone will choose Red than Green, Pink, or Purple

d)

More people like Blue than all other colors combined

20.

The results of a random survey of students about their favorite extracurricular activity are shown in the graph. Based on the information in the graph, which inference about the general population of students is valid?

a)

Less Boys like Choir than Girls like No Activity

b)

More Girls than Boys like Band

c)

Girls like Choir more than Boys like Sports

d)

An equal amount of Boys and Girls like Band