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
chi-square goodness-of-fit test
analysis of variance f test
chi-square test about independence
1
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).
2
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
chi-square goodness-of-fit test
analysis of variance f test
chi-square test about independence
3
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).
4
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
chi-square goodness-of-fit test
analysis of variance f test
chi-square test about independence
5
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).
6
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
chi-square goodness-of-fit test
analysis of variance f test
chi-square test about independence
7
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).
8