statistics help

Scenario A: To generate revenue, the senior class at a large university plans to sell specially designed unisex hoodies that can be ordered from the manufacturer in small, medium, large, and extra large sizes. The senior class advisor suggests ordering an equal number of each of the four sizes. You are in charge of this project and wonder if ordering an equal number of each is a good idea. One of the students working with you was able to get a random sample of the weights in pounds of 44 seniors and gave you the list of data below. (The symbols F and M stand for female and male.)

123 F 147 F

193 M 174 M

115 F 102 F

110 F 195 M

180 M 114 F

128 F 168 M

123 F 132 M

138 M 146 F

179 M 159 M

123 F 99 F

115 F 179 M

147 M 193 M

183 M 161 M

179 M 189 M

108 F 204 M

116 F 162 M

119 F 175 M

128 F 125 F

182 M 155 F

97 F 108 F

164 F 133 F

174 M 202 M

1. Construct a stem and leaf of these weights. (Use Excel or WORD)

2. Can you explain why these data might appear the way they do? (Typed)

3. Compute the three measure of central tendency. (Show your work or the descriptive statistics table from Excel.)

4. Which measure of central tendency, if any, is most informative for this issue? Explain your answer. (Typed)

5. Based on this data set, do you think it would be prudent to order an equal number of the four sizes of hoodies? Explain. (Typed)

6. What information about the hoodies would be important to clarify as you come to your conclusions regarding the number of each size to order? (Typed)

7. Write a response to the advisor that explains the issue, the assumptions, evaluates the advisor’s suggestion, and takes a position. End with a concluding statement. This needs to be a typed, succinct, and professional response.

(Rubrics 2.1, 3.1)

Scenario B: The SAT scores of the applicants to a community college have a bell-shaped distribution with a mean of 900 and a standard deviation of 60. The admission office, which bases acceptance solely on SAT scores, advertises an 84% acceptance rate. Jane Smith is suing the college because she feels she should have been accepted with her SAT score of 780.

1. Should Jane’s attorney hire a statistician to substantiate her case? That is, would a statistician find that she has been unjustly denied acceptance? If not, what would the acceptance rate have to be for Jane to be accepted?

2. Explain your rationale (Typed) and show mathematically how you came to your conclusion.

(Rubric 4.2)

Scenario C: A car manufacturer would like to design a new model of a specific car that would be affordable to middle income families. Consider the annual incomes before taxes of a sample of 200 families. The data is found in the Blackboard/Assignments/Project folder.

1. Using both graphical and numerical methods, organize and interpret these data. Write a report summarizing your results and suggest a target family income range. Display appropriate table(s) and graph(s) to support your conclusion. (WORD and Excel)

2. What measure of central tendency would you suggest the car manufacturer use in determining a typical middle income family? Explain. (Typed)

(Rubric 4.3)

Submission requirements

You will submit your assignment via the link under the Assignments tab in Blackboard.

Submit the WORD document with your answers to the assignment. Submit the Excel document that shows how you calculated your answers and how you developed any tables or graphs. You will submit a copy of the WORD document in class on the due date.