Project #84933 - Week 7 Stat Homework

 For your convenience I am posting links to our two Online Textbooks and two Reference Textbooks:

 Required Online Textbooks (Free)

·         Introduction to Statistics, David M. Lane et al., 2013.http://onlinestatbook.com/Online_Statistics_Education.pdf

·          Introductory Statistics, Barbara Illowsky et al., 2013.http://openstaxcollege.org/files/textbook_version/hi_res_pdf/15/col11562-OP.pdf

Reference Textbooks

·         Introductory Statistics, Neil Weiss Textbook (Online textbook -free)  http://202.114.108.237/Download/4ad56511-0538-47b1-9c39-0aff5c3f6403.pdf 

·         Statistical Techniques in Business & Economics, Lind Marchal and Wathen. Sixteenth edition.  (Hardcopy textbook, latest edition not necessary, textbook not free, not required)

 

 

Graded Homework Week 7

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Note: It is recommended that you save your response as you complete each question.

Question 1 (15 points)

 Question 1 Unsaved

Illowsky     Page 503 Ex 65

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher.


Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0.

If you conducted a hypothesis test the null and alternative hypotheses would be:

Note: x ¯  is the sample average, typically refered to has xbar, an x with a horizintal line over it.

Question 1 options:

Ho: x ¯= 4.75,        Ha: x ¯ > 4.75

Ho: μ ≥ 4.5,            Ha: μ < 4.5

Ho: μ = 4.75,          Ha: μ > 4.75

Ho: μ = 4.5,            Ha: μ > 4.5

Save

Question 2 (10 points)

 Question 2 Unsaved

Illowsky     Page 504 Ex 71

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone.
The organization thinks that, currently, the mean is higher.

Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone.
The sample mean was 4.75 hours with a sample standard deviation of 2.0.

If you conducted a hypothesis test and made a Type 1 error what would that error be? 

Question 2 options:

To conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher.

To conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same.

To conclude that the mean hours per week currently is 4.5, when in fact, it is higher.

To conclude that the mean hours per week currently is no higher than 4.5, when in fact, it is not higher.

Save

Question 3 (15 points)

 Question 3 Unsaved

Illowsky     Page 505 Ex 77

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees.


Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2.

Using the above data you perform a hypothesis test to test your hypothesis at a 1% significance level?

Note: x ¯  is the sample average, typically referred to has xbar, an x with a horizontal line over it..

What is the null and alternate hypothesis for this hypothesis test?

Question 3 options:

Ho: x ¯= 4.5,        Ha: x ¯> 4.5

Ho: μ ≥ 4.5,          Ha: μ < 4.5

 Ho: μ = 4.75,        Ha: μ > 4.75

Ho: μ = 4.5,          Ha: μ > 4.5

Save

Question 4 (30 points)

 Question 4 Unsaved

Question 4 options:

Illowsky     Page 505 Ex 77                                   This is a continuation of Ex 77 in Illowsky

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees.

Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and then perform a hypothesis at a 1% significance level.

To answer the above hypothesis test question, answer the following questions which follows the textbook procedure for performing a hypothesis test.

Note:  The null and alternate hypothesis for this question are the answers to the previous question.

Critical value approach.

What is the numerical value of α for this test?

Enter answer as a decimal to 2 decimal places with a 0 to the left of the decimal point.

Spell check


What is the appropriate distribution for performing this test?


a      z distribution

b      t distribution

c      Either distribution

d      Neither.  This question does not depend on knowing the appropriate distribution.


Select and enter the appropriate letter.

Spell check


What is the critical value for the test statistic?

Enter answer as a 3 place decimal (round answer to 3 decimal places)

Spell check

 

What is the numerical value of the test statistic?


Enter answer as a 1 place decimal. 

Spell check

What is your decision based upon performing the Hypothesis test?


a      There is insufficient evidence, based upon the data, to accept the alternate hypothesis.

b      There is sufficient evidence, based upon the data, to accept the alternate hypothesis.

c      It  is not possible to make a decision (null or alternate), based upon the data.

d     A strong case could be made for either decision (null or alternate) based upon the data.


Select and enter the appropriate letter.

Spell check

Save

Question 5 (30 points)

 Question 5 Unsaved

Question 5 options:

Illowsky      Page 505 Ex 77     Similar to Ex 77 in Illowsky.

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees.


Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and perform a hypothesis test at a 1% significance level?

Pvalue approach

What is the Pvalue Decision Rule?

a.     The data supports the alternate hypothesis if the Pvalue is greater than the significant level of the test.

b.     The data supports the alternate hypothesis if the Pvalue is less than the significant level of the test.

c.     The Pvalue must equal the significant level of the test for the decision of the hypothesis test to be alternate.

d.     The Pvalue must not be equal the significant level of the test for the decision of the hypothesis test to be alternate.

Select the correct answer and enter the appropriate letter.

Spell check

 

What is the Pvalue for this hypothesis test?

Enter answer as a percent rounded to 0 decimal places without the percent sign or as a decimal rounded to 2 decimal places.

Spell check

 

What is your decision based upon performing the hypothesis test?

a.     There is insufficient evidence, based upon the data, to accept the alternate hypothesis.

b.     There is sufficient evidence, based upon the data, to accept the alternate hypothesis.

c.     It is not possible to make a decision (null or alternate), based upon the data obtained in performing this hypothesis test.

d.     A strong argument can be made for either decision, null or alternate hypothesis, based upon the data obtained in performing this hypothesis test.

Select and enter the appropriate letter.

Spell check

Save

 

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Subject Mathematics
Due By (Pacific Time) 10/04/2015 07:00 pm
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