Project #86036 - Stat Quiz

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Question 22 (15 points)

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Question 22 (15 pts.)

Consumption of a large amount of alcohol is known to increase reaction time.  To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after 2 ounces of alcohol was consumed by each.

Does the data below suggest that the consumption of 2 ounces of alcohol increases the mean reaction time?

Assume we want to use a 0.01 significance level to test the claim.

  

 

Reaction Time (seconds)

Subjects

Before

After

1

6

7

2

8

8

3

4

6

4

7

8

5

9

8


Identify the null hypothesis and the alternative hypothesis.

a     Ho     There is no difference in reaction time with or without the alcohol consumption.
       Ha     There is a difference in reaction time with alcohol consumption.

b     Ho     There is a difference in reaction time with alcohol consumption.
       Ha     There is a difference in reaction time with alcohol consumption.

c     Ho     There is no difference in reaction time with or without the alcohol consumption.
       Ha     There is an increase in reaction time with alcohol consumption.

d     Ho     There is an increase in reaction time with alcohol consumption.
       Ha     There is no difference in reaction time with or without the alcohol consumption.

Enter the correct answer by selecting the appropriate letter.

 
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1.   The appropriate distribution for performing the hypothesis test is: 

a     Uniform distribution.

b     z distribution

c     t distribution

d     Chi Square distribution

2.   What is number of degrees of freedom (dF)?

Enter the appropriate letter for selecting the correct distribution followed by the dF.


Enter 0 for the dF if this is an inappropriate question for the distribution selected.

 
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What is the numerical value of the test statistic?

Enter answer rounded to 2 decimal places.

 
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What is the numerical value of the Pvalue.

Enter answer rounded to 2 decimal places with a zero to the left of the decimal point.

 
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Is there sufficient evidence to support the claim that the consumption of 2 ounces of alcohol increases mean reaction time?

a     There is insufficient evidence to support the claim that the consumption of 2 ounces of alcohol increases mean reaction time. 

b     There is sufficient evidence to support the claim that the consumption of 2 ounces of alcohol increases mean reaction time.

c    There is insufficient evidence to draw any conclusion about the claim that consumption of 2 ounces of alcohol increases mean reaction time.

Enter the answer to this question by selecting the appropriate letter.

 
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Question 23 (15 points)

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Question 23 (15 pts.)

The UMUC MiniMart sells four different types of Halloween candy bags.  The manager reports that the four types are equally popular.  

Suppose that a sample of 100 purchases yields the observed counts 30, 24, 22, and 24 for types 1,2, 3, and 4 respectively.

                                   

Type

1

2

3

4

Number

30

24

22

24

 

Assume we want to use a .01 significant level to test the claim that the four types are equally popular.

Identify the null and alternate hypothesis by selecting the appropriate letter. 

 

a     Null Hypothesis:            The four types of Halloween candy are equally popular.

       Alternate Hypothesis:    The four types of Halloween candy have different popularity.

 

b     Null Hypothesis:            The four types of Halloween candy have different popularity.

Alternate Hypothesis:    The four types of Halloween candy are equally popular.

 

 

c     Null Hypothesis:             At least one of the four types of Halloween candy has a different popularity.

 

Alternate Hypothesis:     The four types of Halloween candy are equally popular.

 

 

d     Null Hypothesis:             The four types of Halloween candy are equally popular.

 

 

 

Alternate Hypothesis:      At least one of the four types of Halloween candy has a different popularity.

 

 

 

 

 
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The appropriate distribution for performing the hypothesis test is: 

a     Uniform distribution.

b     z distribution

c     t distribution

d     Chi Square distribution

e     F Distribution

What is number of degrees of freedom (dF)?

Enter the appropriate letter for the correct distribution followed by the dF.

Enter 0 for the dF if this is an inappropriate question for the distribution selected.

 
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What is the numerical value of the test statistic?

Round answer to 2 decimal places.

 

 
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What is the numerical value of the Pvalue?

Round answer to 3 decimal places.

 
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Is there sufficient evidence to support the manager's claim that the four types are equally popular?

Enter the appropriate letter for the correct answer.

a     There is insufficient evidence to reject the manager's claim that the four types of Halloween candy are equally popular

       b     There is sufficient evidence to reject the manager's claim that the four types of Halloween candy are equally popular

 
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Question 26 (1 point)

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By selecting True you will have made the following promise.

I promise that I did not discuss any aspect of this exam with anyone other than my instructor. I further promise that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own.

 
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Subject Mathematics
Due By (Pacific Time) 10/10/2015 07:00 pm
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