![]() ![]() In a similar way, we can distort or transform mathematical functions to better adapt them to describing objects or processes in the real world. But what happens when we bend a flexible mirror? Like a carnival funhouse mirror, it presents us with a distorted image of ourselves, stretched or compressed horizontally or vertically. When we tilt the mirror, the images we see may shift horizontally or vertically. Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis.We all know that a flat mirror enables us to see an accurate image of ourselves and whatever is behind us. Write a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in theCSU-Global Guide to Writing and APA. 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? 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.Īssume the managers have requested estimates of the mean attitudes towards each mall with a margin of error of 0.05 for each. Given the breakdown of responses for variable 26 (sex of respondent), determine the point estimate, and then construct the 95% confidence interval for p26 = the population proportion of males. Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall, respectively. 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.ĭetermine the point estimate, and then construct the 95% confidence interval for μ7 = the average attitude toward Springdale Mall. 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. Therein lies the benefit of the techniques presented in this module and applied here. In addition, it is helpful for them to have some idea as to the likely accuracy of these estimates. 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. 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. The data are provided in the file SHOPPING. The 150 respondents were also asked to provide information about themselves and their shopping habits. 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 major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. Option 1: Springdale Shopping Survey Instructions How did this project help you understand statistics better? What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place.Įxplain how Part I of the project has helped you understand confidence intervals better? Problem Analysis-Write a half-page reflection. Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project. ![]() Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.Ĭreate your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. ![]() Problem Computations-For the topic, you must answer the following:ĭetermine the mean and standard deviation of your sample.įind the 80%, 95%, and 99% confidence intervals. You must provide ALL of your sample data. Sample Data-Provide the 50 data values on your worksheet. Introduction-Provide a description of the data you were provided and discuss what you know about the chosen topic. In Part I of this project, you will analyze data, complete research and provide a write-up that includes calculations. A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval. ![]()
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