Statistics - Regression Projects

Steve is interested in doing research on how customer perceptions of various service factors influence

Steve is interested in doing research on how customer perceptions of various service factors influence customer satisfaction. Steve thinks that customers that shop in discount stores are more satisfied then those that shop in full-line stores. Also, he believes that satisfaction decreases with age. When it comes to customer satisfaction, Steve believes that it is composed of 3 parts - satisfaction with sales help, satisfaction with products and satisfaction with store environment (e.g. ease of parking, cleanness of store, etc.). Steve has access to customers that shop for a major retailer with hundreds of locations, some discount and some full-line.
1. Articulate two research hypotheses.
2. Develop a portion of a survey that measures the three variables (customer satisfaction, age and store type (discount/full-line).
3. Comment on how Steve could go about collecting an adequate and representative sample.
4. What statistical technique would Steve use to test the two research hypotheses?
Suppose you take a random sample of 64 adults, administer a driver safety test and obtain the following results:
Mean 75.5
Std deviation 6.4
Sample size (n) 64
Std. Error ???
Assume you know nothing about the population mean or distribution characteristics of driver safety scores. Calculate the standard error for this sample. Create a 95.5% confidence interval (that is 2 standard errors, note that the 95% we’ve worked with is actually 1.96 standard errors) for the mean score of the population. Interpret this confidence interval. What theorem forms the theoretical basis of the confidence interval you generated? (3%)
Suppose that after completing problem #2 you wonder if the population average meets the national standard of 77.5 for the exam. (4%)
1. Using the sample results from 2, test the hypothesis that the mean score is 77.5. Write out your null (H0) and alternative (H1) hypotheses. Which hypothesis do you support? Why?
2. Assume you find by repeating the sampling process that the true mean score on the exam is 78 and that the standard deviation is 5. Further, you find that the data is approximately normally distributed. Generate a range that represents the middle 68% and 95% of scores (Hint: much as in Stats 1).
Assume that you are a wedding coordinator. Over the years you have collected data on the number of RSVP received prior to a wedding and the actual attendance at the event The coordinator believes that she can predict how many folks will attend by looking at how many RSVPed. Use SPSS to determine if there is such a relationship and show your output. If there is a relationship, how strong is it? Can you provide the coordinator with a formula that he can use to make predictions? Assume that at an upcoming event 150 RSVP. How many do you predict will attend? (3%)
Wedding RSVP Attendance
1 250 195
2 200 166
3 135 125
4 75 50
5 219 190
6 187 125
7 133 139
8 102 79
9 129 99
10 150 ?????
Assume that you have collected data on student scores on a standardized test. These students were randomly assigned to on one of two classes. Different teaching methods were used in the two classrooms. You wonder if there is a significant difference between the two classes. There are two statistical methods covered in class that could be used to solve this problem – what are they? Choose one of the two methods, state the hypotheses (H0 and H1), show SPSS results and explain which hypothesis to support (and why).
(3 pts)
Class 1 Class 2
12.8 10.1
11.0 8.1
11.7 10.1
11.2 9.2
12.1 9.1
11.0 10.1
13.0 8.8
12.5 9.9
Choose exactly two of the following four scenarios. For each selected part identify a suitable statistical procedure from among those covered in class (e.g. t-test, regression, ANOVA, Spearman Rho, Pearson correlation, etc.). Why did you select this procedure? (2%)
1. Ray has collected attitudinal data (using a 1-5 Likert scale) about a group of workers and their feelings towards work. Respondents are asked eight questions (such "I like my coworkers", "I am challenged by my job", etc.) and are given 1 to 5 scales to respond ("Strongly disagree" to "Strongly agree"). Ray wonders which items are highly correlated with each other.
2. Sarah has collected data about attendance at a college graduation. In particular, she believes that the larger the graduating class, the higher the attendance.
Choose any one of the following four statistical techniques. For your selected technique, create an original final exam problem, including any required data, which could be used to test BUS678 students' knowledge. Be sure that the problem you create is truly original - do not copy a problem from a textbook or other source. Solve the problem using SPSS and send select portions of your SPSS output. (2%)