# STAT151 Study Guide - Final Guide: Prejudice, Nicotine, Null Hypothesis

Statistics 151 – Practice Final Exam 3

Instructor: Mike Kowalski

Instructions:

1. Read all the instructions carefully.

2. This is a closed book exam.

3. You may use the STAT 151 formula sheets and tables provided and a non-programmable calculator

only.

4. You are not to use any scrap paper of your own. There is plenty of blank space for scrap work.

5. You have 180 minutes to complete the exam.

6. The exam consists of 30 multiple choice questions worth 1 mark each, and 22 written answer marks.

Your final percentage will be based out of a total of 50 marks.

7. Make sure your name and signature are on this page and that your ID number is on the back of this

page.

Make sure you mark all your multiple choice answers on the

back of this page in the allotted time. These will be your

official answers. You will not be given time to fill it out after

time expires!

You must return ALL pages at the end of the exam. Missing pages will result in a

score of 0 and further disciplinary actions may be taken.

Name: _________________________ Signature: _______________________________

Component

Worth

Mark

Multiple Choice

30

Written Answer

Question 1

5

Question 2

4

Question 3

5

Question 4

5

Question 5

3

Total

50

ID:______________________

Make sure you mark all your multiple choice answers on this

page in the allotted time. These will be your official answers.

You will not be given time to fill it out after time expires!

Multiple Choice Answer Sheet:

Question

Answer

Question

Answer

1

D

16

D

2

B

17

C

3

D

18

D

4

A

19

A

5

B

20

D

6

A

21

D

7

B

22

B

8

C

23

D

9

C

24

C

10

B

25

B

11

D

26

A

12

B

27

D

13

A

28

B

14

A

29

B

15

A

30

B

1.

The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)

. The brand

advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is

actually higher than advertised. To explore this, you test the hypotheses

H0:

= 1.5, Ha:

> 1.5 and you obtain a P-value of 0.062. Which of the following is true?

A)

At the

= 0.05 significance level, you have proven that H0is true.

B)

You have failed to obtain any evidence for Ha.

C)

There is some evidence against Ha, but it is not significant at

= 0.05.

D)

There is some evidence against H0, but it is not significant at

= 0.05.

2.

Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in your fourth and fifth courses

to ensure your overall grade point average is at least 3?

a) 2.25 b) 3.75 c) 3.5 d) 2.75

3. The stronger the effect of a factor on the response variable in a one-way ANOVA,

A)

The smaller the between-groups variation and the larger the within-groups variation.

B)

The smaller the between-groups variation and the smaller the within-groups variation.

C)

The larger the between-groups variation and the larger the within-groups variation.

D)

The larger the between-groups variation and the smaller the within-groups variation.

4-5: The grade point averages of a large population of university students are approximately normally distributed with mean 2.2 and

standard deviation 0.6.

4. If you need to finish in the top 25% of your class to earn a certain scholarship, what must your grade point average be?

a) 2.605 b) 3.376 c) 1.795 d) 2.441

5. Suppose that 4 students are randomly selected from the student body. What is the probability their average grade point average is

above 3.0?

a) 0.0918 b) 0.0038 c) 0.000071 d) 0.25

6-7: A newspaper article reports that in a poll of 120 randomly selected eligible voters, 55% said they will support candidate A in the

election. There are only two candidates running.

6. What is the margin of error for a 92% confidence interval?

a) 0.079 b) 0.064 c) 0.089 d) 0.0036

7. Another newspaper wants to estimate the percent of eligible voters that support candidate A in the election. They want their

estimate to be accurate within 2% with, 97% confidence. About how many observations do they need?

a) 2401 b) 2944 c) 2209 d) 149

8. What is

( ) ( )

C

P A B P A B

?

a)

( )P A

b)

2 ( ) ( ) 1P A P B

c)

( ) 1P A

d)

( ) ( )P A P B

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## Document Summary

You may use the stat 151 formula sheets and tables provided and a non-programmable calculator only. You are not to use any scrap paper of your own. There is plenty of blank space for scrap work. You have 180 minutes to complete the exam. The exam consists of 30 multiple choice questions worth 1 mark each, and 22 written answer marks. Your final percentage will be based out of a total of 50 marks. Make sure your name and signature are on this page and that your id number is on the back of this page. Make sure you mark all your multiple choice answers on the back of this page in the allotted time. You must return all pages at the end of the exam. Missing pages will result in a score of 0 and further disciplinary actions may be taken. Make sure you mark all your multiple choice answers on this page in the allotted time.