Mathematics Homework Help

Option #1: Springdale Shopping Survey

Instructions

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?

Requirements:

• Your paper should be 2-3 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library is a great place to find resources. Your textbook is a credible resource.
• 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: The minimum required length excludes any tables or graphs.)
• Document formatting, citations, and style should conform to CSU Global Writing Center. (Links to an external site.) A short summary containing much that you need to know about paper formatting, citations, and references is contained in the Template Paper (Links to an external site.).

Option #2: New York Survey Data

Instructions

A consulting firm was hired to conduct a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly-selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.

In this exercise, some of the estimation techniques presented in the module will be applied to the New York 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.

New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here.

• Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent’s general attitude toward each of the five boroughs. 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 μ1= the average attitude toward Manhattan.
• Repeat part (a) for μ2 through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.
• Given the breakdown of responses for variable 6 (highest level of education), determine the point estimate, and then construct the 95% confidence interval for p6= the population proportion of doctoral degrees.
• Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for p7 = the population proportion in the “single or other” category.
• Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough?

Requirements:

• Your paper should be 2-3 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library is a great place to find resources. Your textbook is a credible resource.
• 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: The minimum required length excludes any tables or graphs.)
• Document formatting, citations, and style should conform to CSU Global Writing Center. (Links to an external site.) A short summary containing much that you need to know about paper formatting, citations, and references is contained in the Template Paper (Links to an external site.).

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.

A. General Attitude toward Each Borough (Variables 1-5)

	1.Manhattan	2.Brooklyn	3.Queens	4.The Bronx	5.Staten Island
Like Very Much	(5)	(5)	(5)	(5)	(5)
Like	(4)	(4)	(4)	(4)	(4)
Neutral	(3)	(3)	(3)	(3)	(3)
Dislike	(2)	(2)	(2)	(2)	(2)
Dislike Very Much	(1)	(1)	(1)	(1)	(1)

B. Information about the Respondent (Variables 6-7)

• What is your highest level of education?

(1) = Did not complete High school

(2) = High school degree/GED(3) = Associate’s degree

(4) = Bachelor’s degree

(5) = Master’s degree

(6) = Doctoral degree

Marital Status: (1) = Married (2) = Single or other