Statistical tests

Statistical tests

Choose one of the statistical tests listed above and explain your choice for the following scenario: The director of a college’s food services is considering the addition of new items to the cafeteria menu. One of the new items is a green salad topped with strips of grilled chicken breast. After tasting the salad, the college’s students, faculty, and administrators who eat at the cafeteria are asked to indicate their preference by circling one of the following options: (a) Add it to the menu, (b) Do not add it to the menu, and (c) No opinion. The director of food services analyzes the data to determine if there are differences in the numbers of students, faculty, and administrators who chose each of the three response options. Here we have one salad and multiple tasters. We do not know our sample size. We know there are three sample groups (students, faculty and administrators). Each sample group has three choices.

2. Choose one of the statistical tests listed above and explain your choice for the following scenario: A research course instructor at a business college has noticed that accounting and finance students seem to have more positive attitudes toward statistics compared with management and marketing students. The professor administers the Statistics Attitudes Inventory (SAI) scale to all students on the first day of the fall semester. The inventory contains 20 Likert-scale items with responses ranging from Strongly Disagree to Strongly Agree. The responses of accounting, finance, management, and marketing students are then compared to determine if there are significant differences in attitudes between the four groups of students. Here we have four samples giving feedback using a scaled method approach: there is meaningful information between each of the intervals.

3. Choose one of the statistical tests listed above and explain your choice for the following scenario: The engineers in a large multinational corporation claim that the salespeople get paid more than employees in other departments. The CEO assures the employees that there is no significant difference in annual salaries between employees from different departments. The CEO conducts a study to compare the annual salaries of the 32 salespeople to the mean of the annual salaries of all the 530 employees of the company. Here there is no dependency (cause/effect) between variables; this represents gathered information.

4. Choose one of the statistical tests listed above and explain your choice for the following scenario: Many people view television as a major contributor to the shopping habits of teenagers. A marketing researcher decides to investigate whether there is a relationship between the number of hours children watch television and the amount of money they spend shopping. For two weeks, teenagers record the number of hours they watch television and how much they spend shopping. The researcher can now analyze the data (TV viewing hours and money spent shopping) and determine whether there is a relationship between these two variables.

5. Choose one of the statistical tests listed above and explain your choice for the following scenario: A product manager is trying to determine whether to use a higher or lower price on a new product. She decides to test market the higher price in one city and the test market the lower price in another city. The two cities chosen to test the prices are similar in terms of their demographics and other factors. For four weeks the manger kept track of the sales volume in each of the two test cities. The manager compares the mean sales volume for each test city to determine which price is more successful. Here we have a small sample size.