Probability and Statistics Midterm

Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one size of shoes – regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are below:

(a) Then mean of the sample and the value of Z with an area of 10% in right tail.

First we look for the area of both by doing “2nd ,Vars, NORMALCDF” and inputting “-1000, “Z,” 0, 1 then find the difference between both.

c) iii): equal to about 0. When you roll two dice, it is impossible to roll a sum of 1. The lowest sum you can roll with two dice is 2.

According to the website http://womenissues.about.com/cs/abortionstats/a/aaabortionstats.htm there are approximately 126,000 abortions conducted each day throughout the world. This website includes the abortion statistics of the world and breaks the data down to the demographics of the United States. It also discusses the decisions to have an abortion and the use of contraceptives in the United States. This was an informative website and included detailed statistics conducted by the Alan Guttmacher Institute. According to the website http://www.bls.gov/cps in 2000, gon average there were roughly 135 million employed and 6 million unemployed people in the labor force in the United States.h (p. 3) The websites definition of

E[Rp ] = (1 − wTb )RF,b + wTb E[RTb ] = (1 − 1.1735) × 0.02 + 1.1735 × 0.04386 = 4.80%.

9. Question : In statistical notation, M is to μ as s is to σ.

Determine the utility-maximizing combination of x and y if his income is $300. What is his marginal utility of money equal to?

E(rIndex ) = rf + β [E(rm ) − rf ] = 1.6% + 1.0 × 4.83% = 6.43% ,

Knowing this information, you need to first tell me, and then show this in your graph:

Supplier A: EOQ = Square root of (2 x 1500 x $1,000) = S.R. of 3,000,000 = 209

5. Since the distribution D1 no longer holds, there exist a new distribution where everyone has 0.25 less than original and Wilt Chamberlain has 250,000 more than original

A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As part of this trial, they wish to determine whether there is a difference between the effectiveness for women and for men. Using   = .05, what is the value the test statistic?

1. What is the expected customer lifetime value of a newly acquired customer? Use an annual discount rate of 10%.

3. The expected return for each firm was calculated: Expected Return = Alpha + (Beta x BSE 500 actual return).