# Project #17647 - SPSS Homework assignment

Question 1 (Chapter 11)

Arnold Bicep, physical fitness director for the Louisville public school system, would like to argue that a mandatory physical fitness class be required for all students.  He thinks that the students are least 15 pounds overweight.  To test his supposition, he takes a sample of 25 students; these students are on the average 17.4 pounds overweight with a standard deviation of 31.  Could this sample have been drawn from a population with a mean of 15?  If it could be drawn from such a sample, what would this say about Bicep's supposition?

 n or proportion sd se t p Accept or Reject Null?

Question 2 (Chapter 12)

The U.S. Army is concerned with the quality of enlisted personnel who are being selected for Officer Candidate School.  They fear that the old army rule of picking leaders by selecting the tallest person in the platoon is having an effect on the selection process.  For male soldiers, they know that the average height is 5 foot 10 inches (or 70 inches).  A sample of 75 persons who have been selected for OCS is taken.  These soldiers have an average height of 6 foot 1 inch with a standard deviation of 8.  Present a hypothesis, a null hypothesis, and evaluate the hypothesis.

 n or proportion sd se t p Accept or Reject Null?

Question 3 (Chapter 13)

Colonel George "Gung" Ho, executive officer of the 101st Ranger battalion, is concerned about whether or not military information on injuries incurred in parachute jumps is in accurate.  The official figures state that there will be 3.9 injuries per 100 jumps.  Colonel Ho thinks this figure is suspect especially for night time jumps.  To check this out, he randomly selects 150 paratroopers and makes a night jump just outside Panama City.  Twelve paratroopers are injured in the jump.  Present a hypothesis, a null hypothesis, and evaluate the hypothesis.

 n or proportion sd se t df p Accept or Reject Null?

Question 4 (Chapter 14)

The city council of Logcabin, Vermont, has just finished an experimental program intended to provide information which can ultimately increase the production of maple syrup, the staple industry of the town.  Under the program, two samples of 100 maple trees were selected at random from nearby forests.  Trees in the experimental samples were injected with nutrients, while trees in the second, control sample were not.  At the end of the maple syrup season, the output of the two samples of trees was measured in terms of gallons of syrup yielded.  The results follow.

 Experimental Trees Control Trees Mean 472 455 Standard Deviation 15 21

Based on these data, should the city council conclude that the production of syrup increased?

 n or proportion sd se sed t p df Equal or Unequal Variance Assumed? Accept or Reject Null? Experimental Trees Control Trees

Question 5 (chapter 14)

Susan Sanitation, chief analyst for the Metro City Trash Department, has been asked to evaluate the city's recycling program.  Under this program, 25 trash collection districts are subject to mandatory recycling.  Residents in these districts must separate paper, glass, and metals which are collected by separate recycling trucks.  If the recycling program is working, therefore, the amount of trash collected in these districts will be lower than the amount collected in the other districts.  Data on the program in terms of pounds of trash per household per month are presented below:

 Mean Standard Deviation Number of Districts Recycling Districts 124 155 25 Regular Districts 193 214 20

Present a hypothesis, a null hypothesis, and evaluate them.

 n sd se sed t p df Equal or Unequal Variance Assumed? Accept or Reject Null? Recycling Districts Regular Districts

Question 6 (Chapter 15)

Lemon Corporation, a large automobile manufacturer, is trying to determine the source of defects in some of its autos.  An analyst for Lemon believes that a possible source of defects is the day of the week the auto is produced.   Rumor has it that on Mondays large numbers of Lemon auto workers are hung over from a weekend of drunkenness and debauchery and are, therefore, more likely to make mistakes on the job.  She hypothesizes that autos manufactured on Mondays are more likely to have defects than are cars made on the other days of the week.  In order to test this hypothesis, she draws a random sample of 200 automobiles made by Lemon in the last two years.   In this sample, she cross-tabulates the day the auto was made (Monday vs. all other days) with the variable of whether or not the care has any known defect.  The cross-tabulation appears below.  Based on these data, is there support for her hypothesis?

 Defect Day Car Made Monday Other Days No 12 72 Yes 32 84

Question 7 (Chapter 16)

(Use the Employee Attitudes SPSS data set for this question and attach SPSS output)

Do men and women (GENDER) differ in their perception that their contributions are recognized when they do well in their job (RECOGNIZ)? Formulate and test the hypothesis that gender is associated with these perceptions using a Chi-Square test. At what level of significance can the null hypothesis be rejected? Provide a complete write-up and identify results on the SPSS output (test and table). Note that both variables are categorical.

a. Write a hypothesis and null hypothesis.

b. Create a contingency table using this data. Have SPSS compute a chi-square statistic and the relevant measures of association we covered in chapter 16.

c. Interpret the output on from the contingency table in terms of significance and strength of association of the Chi-square.

Question 8 (Chapter 17) Contingency Tables and Control Variables

(Use the Employee Attitudes dataset again for this question).

1. Examine the relationship between gender (GENDER) and the perceived morale of county employees (HIMORALE).

a.  Analyze the variables using a contingency table (crosstabs).

b.  Run a chi-square and the measures of association.

c.  What do you conclude from the table and the measures of association?

(Be sure to look at the percentages and the significance of the relationships)

2. Next, test the rival hypothesis that this relationship is spuriously cause by stress. You will have to recode the variable (STRESSED) into two groups (high stress and low stress).

a. Write the hypothesis and the null hypothesis for this relationship.

b. Run a crosstab, Chi-square and relevant measures of associations.

c. What do you conclude from the contingency tables, the Chi-square analysis and the measures of association?

Question 9 (Chapter 18) Bivariate Regression

(Use the Productivity Database for this question)

Examine the bivariate relationship between having authority (JOBAUTHR) and department productivity (DEPTPROD) using a simple bivariate regression.

1. Identify the dependent and the independent variables.

2. From your output, write the regression equation.

3. What are the r2 value and its significance level?  Is there a significant relationship? Why or why not (that is, what statistics tell you that the relationship is not significant)?

Question 10 (Chapters 18-19) Bivariate Regression

The director of a federal bureau is trying to anticipate his budget for next year so that he can begin to plan and allocate resources.  He has obtained data for this year and last year on the amount of funds budgeted to each federal agency. He regresses this year's appropriation in dollars (Y) on last year's appropriation in dollars (X) for the agencies and finds the following:

? = 146,384 + 1.11X   r2 = .81 n = 128

Analyze these results for the bureau director. How strongly are these variables related? If the budget for the bureau this year is \$3,280,321, what can he expect the budget to be next year?

Extra Credit (Worth 10 points)

Timothy T. Rash, head statistician for the Chicago City Sanitation Department is interested in knowing if a set of new Big-Gulp Garbage trucks are permitting his workers to be more efficient. As a measure of efficiency, Mr. Rash uses pounds of trash collected per hour on residential routes. This is his dependent variable. The independent variable is a dummy variable coded 1 if the route used Big-Gulp Trucks and 0 if it did not. A regression program produces the following results:

? = 2894 + 526X,  r2 = .25, Sy|x = 612, sb = 203, n = 47

What is the hypothesis that Mr. Rash wishes to test? Interpret the slope, intercept and coefficient of determination for him. Evaluate the hypothesis.

 Subject Mathematics Due By (Pacific Time) 11/26/2013 12:00 am
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