# STATS 7 Problems Assignment

August 31, 2017

Question
Instructions: answer questions 1-7. Provide all work. Unless directed otherwise, round to hundredths.

Use the following data to answer questions 1 through 4:

REC

Modeltype

Maint

REC

Modeltype

Maint

01

Economy

7

13

Sport

8

02

Deluxe

4

14

Deluxe

3

03

Economy

2

15

Luxury

5

04

Economy

3

16

Economy

4

05

Economy

4

17

Economy

4

06

Deluxe

5

18

Deluxe

6

07

Luxury

6

19

Economy

2

08

Sport

8

20

Economy

3

09

Luxury

6

21

Sport

3

10

Economy

3

22

Luxury

5

11

Economy

4

23

Luxury

4

12

Deluxe

7

24

Deluxe

7

1-Create a frequency table for “Modeltype”. Rank as follows, from lowest to highest: Economy, Deluxe, Sport, Luxury. Include value, frequency, cumulative frequency, proportion, and cumulative proportion in your table.

2-Based on the table you created for question 1:

a-What is the mode? ________________ b-What is the median? ________________

3-Create a frequency table for “Maint”, which refers to the number of times a new car was brought in for maintenance in its first year. Include, frequency, cumulative frequency, proportion, and cumulative proportion in your table, AND any additional columns you need to calculate answers for question 4.

4-Answer the following questions based on the data:

a-What is the mode? ________________ b-What is the median? ________________

c-What is the mean? ________________ d-What is the range? ________________

e-What is Q1? ________________ f-What is the Q3? ________________

g-What is the IQR? ________________ h-What is the SSE? ________________

i-What is the variance? ________________ j-What is the standard deviation? ________________

k-Suppose a vehicle gets maintenance 6 times. What would its z-score be? ________________

l-Suppose a vehicle gets maintenance 3 times. What would its z-score be? ________________

5-Given data that is normally distributed with a mean of 150 and a standard deviation of 26, answer the following questions (express proportions in ten-thousandths):

a-What is the z-score for a value of 124? ________________

b-What is the z-score for a value of 187? ________________

c-What is the proportion of scores below 170? ________________

d-What is the proportion of scores below 120? ________________

e-What is the proportion of scores between 147 and 153? ________________

6-Given the following data on faculty in the Architecture Department (“PUB” is whether they published in a peer-reviewed journal in the previous year) (express probabilities in ten-thousandths):

EMPL

RANK

PUB

EMPL

RANK

PUB

Smith

Full

Yes

Cohen

Associate

Yes

Jones

Assistant

No

Green

Assistant

No

Williams

Assistant

No

Andrews

Associate

Yes

Anderson

Full

No

Johnson

Assistant

No

Wilson

Associate

Yes

Warren

Assistant

Yes

Brown

Assistant

Yes

George

Full

No

Walters

Full

No

Keane

Associate

Yes

a-c-Suppose I was to drawoneof these faculty at random to participate in my study. What is the probability of selecting:

a-A full professor? ________________ b-An associate or assistant professor? ________________

c-A full professor or a professor who had published? ________________

d-e-Suppose I was to drawtwoof these faculty at random to participate in my study.

d-An assistant professor and then an associate professor, with replacement? ________________

e-A professor who had published, and then another who had published, without replacement?

________________

f-Suppose I was to drawthreeof these faculty at random to participate in my study. What is the probability of selecting Dr. Jones, Dr. Brown, and Dr. George, in any order?

________________

g-Suppose I was to drawfiveof these faculty at random to participate in my study. What is the probability of selecting Dr. Warren, Dr. Keane, Dr. Jones, Dr. Brown, and Dr. George, in that order?

________________

7-Given the following data:

Did the consumer use a coupon?

FALSE

Did the consumer shop at the store again in the following month?

FALSE

27

TRUE

14

a-What is the odds ratio? ________________

b-Complete this sentence, based on the odds ratio you calculated above:

The odds that a consumer would shop at the store again in the following month was ________________ when the consumer had used a coupon.

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