The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the
downtown area on Main Street. A telephone survey has been conducted to identify strengths and
weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The
150 respondents were also asked to provide information about themselves and their shopping habits. The
data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.
In this exercise, some of the estimation techniques presented in the module will be applied to the
Springfield Shopping survey results. You may assume that these respondents represent a simple random
sample of all potential respondents within the community, and that the population is large enough that
application of the finite population correction would not make an appreciable difference in the results.
Managers associated with shopping areas like these find it useful to have point estimates regarding
variables describing the characteristics and behaviors of their customers. In addition, it is helpful for them to
have some idea as to the likely accuracy of these estimates. Therein lies the benefit of the techniques
presented in this module and applied here.
Item C in the description of the data collection instrument lists variables 7, 8, and 9, which represent the
respondent’s general attitude toward each of the three shopping areas. Each of these variables has
numerically equal distances between the possible responses, and for purposes of analysis they may be
considered to be of the interval scale of measurement.
Determine the point estimate, and then construct the 95% confidence interval for μ7= the average attitude
toward Springdale Mall.
Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall, respectively.
Given the breakdown of responses for variable 26 (sex of respondent), determine the point estimate, and
construct the 95% confidence interval for p26= the population proportion of males.
Given the breakdown of responses for variable 28 (marital status of respondent), determine the point
estimate, and then construct the 95% confidence interval for p28 = the population proportion in the “single
or other” category.
Assume the managers have requested estimates of the mean attitudes towards each mall with a margin of
error of 0.05 for each mall. If the managers want to have 95% confidence that the sample mean will fall
within this margin of error, how large should the sample size be for each mall?
Include a title page, introduction, body, conclusion, and a reference page.
The introduction should describe or summarize the topic or problem. It might discuss the general
applications of the topic or it might introduce the unique terminology associated with the topic.
The body of your paper should address the questions posed in the problem. Explain how you approached
and answered the question or solved the problem, and, for each question, show all steps involved. Be sure
this is in paragraph format, not numbered answers like a homework assignment.
The conclusion should summarize your thoughts about what you have determined from your analysis in
completing the assignment. Nothing new should be introduced in the conclusion that was not previously
discussed in the body paragraphs.
Include any tables of data or calculations, calculated values, and/or graphs referenced in the paper.
NOTE: You MUST submit your Excel file with your report. This will allow you to qualify for consideration for
partial credit if any errors are found in your report.