Math 123 (Introduction to Statistics) Project



Math 123 (Introduction to Statistics) Project

1. The data contain a variable named salary, which is the starting yearly salary for each graduate, and a variable named sex, which of course indicates the sex for each graduate. Suppose we are interested in comparing the distribution of starting salaries for the male and female graduates.

(a) Make a list of the relevant variables of interest in the space provided below, and look at the data for these variables in the SPSS file; next to each variable in the list below, state whether the variable should treated as qualitative-dichotomous, qualitative-nominal, qualitative-ordinal, or quantitative. Then circle the graphical display which would be most appropriate.

List of Relevant Variables

Appropriate Graphical Display

pie chart stacked bar chart one box plot multiple box plots scatter plot

(b) Use SPSS to create and print the appropriate graphical display chosen in the previous part. Format the title of the SPSS output as follows:

YOUR NAME – Problem 1(b) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(c) A 0.05 significance level is selected for a hypothesis test to see if there is evidence of a difference in mean starting salary between male and female graduates. Circle the hypothesis test which would be most appropriate, and write a brief reason to explain your choice.

paired t test two sample t test analysis of variance f test

chi-square goodness-of-fit test chi-square test about independence

Math 123 (Introduction to Statistics) Project

1.-continued

(d) Use SPSS to print appropriate output to perform the hypothesis test chosen in the previous part; it might be helpful to first identify a lab whose instructions can be used as a guideline. Format the title of the SPSS output as follows:

YOUR NAME – Problem 1(d) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(e) Use the SPSS output from the previous part to complete the steps displayed below, for the hypothesis test described in part (c). If necessary, be sure to do any required follow-up analysis (which can be done on the SPSS output, if there is not enough room below).

[pic]

Math 123 (Introduction to Statistics) Project

2. The data contain a variable named salary, which is the starting yearly salary for each graduate, and a variable named college, which indicates the college each graduate attended. Suppose we are interested in comparing the distribution of starting salaries for the different colleges that graduates attended.

(a) Make a list of the relevant variables of interest in the space provided below, and look at the data for these variables in the SPSS file; next to each variable in the list below, state whether the variable should treated as qualitative-dichotomous, qualitative-nominal, qualitative-ordinal, or quantitative. Then circle the graphical display which would be most appropriate.

List of Relevant Variables

Appropriate Graphical Display

pie chart stacked bar chart one box plot multiple box plots scatter plot

(b) Use SPSS to create and print the appropriate graphical display chosen in the previous part. Format the title of the SPSS output as follows:

YOUR NAME – Problem 2(b) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(c) A 0.05 significance level is selected for a hypothesis test to see if there is evidence of at least one difference in mean starting salary for graduates among the different colleges. Circle the hypothesis test which would be most appropriate, and write a brief reason to explain your choice.

paired t test two sample t test analysis of variance f test

chi-square goodness-of-fit test chi-square test about independence

Math 123 (Introduction to Statistics) Project

2.-continued

(d) Use SPSS to print appropriate output to perform the hypothesis test chosen in the previous part; it might be helpful to first identify a lab whose instructions can be used as a guideline. Format the title of the SPSS output as follows:

YOUR NAME – Problem 2(d) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(e) Use the SPSS output from the previous part to complete the steps displayed below, for the hypothesis test described in part (c). If necessary, be sure to do any required follow-up analysis (which can be done on the SPSS output, if there is not enough room below).

[pic]

Math 123 (Introduction to Statistics) Project

2(e)-continued

If is necessary, use the space below for multiple comparison by entering the appropriate values in each table, and making the appropriate statement of results.

| |Engineering |Business |

|Agriculture | | |

|Engineering | | |

| |Engineering |Business |

|Agriculture | | |

|Engineering | | |

Statement of Results:

Math 123 (Introduction to Statistics) Project

3. The data contain a variable named college, which indicates the college each graduate attended. Suppose we are interested in comparing the proportion of graduates from each of the different colleges that graduates attended.

(a) Make a list of the relevant variables of interest in the space provided below, and look at the data for these variables in the SPSS file; next to each variable in the list below, state whether the variable should treated as qualitative-dichotomous, qualitative-nominal, qualitative-ordinal, or quantitative. Then circle the graphical display which would be most appropriate.

List of Relevant Variables

Appropriate Graphical Display

pie chart stacked bar chart one box plot multiple box plots scatter plot

(b) Use SPSS to create and print the appropriate graphical display chosen in the previous part. Format the title of the SPSS output as follows:

YOUR NAME – Problem 3(b) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(c) A 0.05 significance level is selected for a hypothesis test to see if there is evidence that the proportion of graduates is not the same from each of the different colleges. Circle the hypothesis test which would be most appropriate, and write a brief reason to explain your choice.

paired t test two sample t test analysis of variance f test

chi-square goodness-of-fit test chi-square test about independence

Math 123 (Introduction to Statistics) Project

3.-continued

(d) Use SPSS to print appropriate output to perform the hypothesis test chosen in the previous part; it might be helpful to first identify a lab whose instructions can be used as a guideline. Format the title of the SPSS output as follows:

YOUR NAME – Problem 3(d) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(e) Use the SPSS output from the previous part to complete the steps displayed below, for the hypothesis test described in part (c). If necessary, be sure to do any required follow-up analysis (which can be done on the SPSS output, if there is not enough room below).

[pic]

Math 123 (Introduction to Statistics) Project

3(e)-continued

If is necessary, use the space below for multiple comparison by entering the appropriate values in the table, and making the appropriate statement of results.

| |Agriculture |Engineering |Business |

|sample proportion | | | |

|z-value | | | |

Statement of Results:

Math 123 (Introduction to Statistics) Project

4. The data contain a variable named college, which indicates the college each graduate attended, and a variable named sex, which of course indicates the sex for each graduate. Suppose we are interested in comparing the proportion of graduates from each of the three different colleges of agriculture, business administration, and engineering, for the two sexes

(a) Make a list of the relevant variables of interest in the space provided below, and look at the data for these variables in the SPSS file; next to each variable in the list below, state whether the variable should treated as qualitative-dichotomous, qualitative-nominal, qualitative-ordinal, or quantitative. Then circle the graphical display which would be most appropriate.

List of Relevant Variables

Appropriate Graphical Display

pie chart stacked bar chart one box plot multiple box plots scatter plot

(b) Use SPSS to create and print the appropriate graphical display chosen in the previous part. Format the title of the SPSS output as follows:

YOUR NAME – Problem 4(b) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(c) A 0.05 significance level is selected for a hypothesis test to see if there is evidence that the proportion of graduates from each of the different colleges is different for the sexes (i.e., to see if there is significant evidence of a relationship between a graduate’s sex and college attended). Circle the hypothesis test which would be most appropriate, and write a brief reason to explain your choice.

paired t test two sample t test analysis of variance f test

chi-square goodness-of-fit test chi-square test about independence

Math 123 (Introduction to Statistics) Project

4.-continued

(d) Use SPSS to print appropriate output to perform the hypothesis test chosen in the previous part; it might be helpful to first identify a lab whose instructions can be used as a guideline. Format the title of the SPSS output as follows:

YOUR NAME – Problem 4(d) – Math 123 Project

Include the SPSS output with all future submissions of this part of the project.

(e) Use the SPSS output from the previous part to complete the steps displayed below, for the hypothesis test described in part (c). If necessary, be sure to do any required follow-up analysis (which can be done on the SPSS output, if there is not enough room below).

[pic]

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