Question:
In the exercises sections in the chapters, of your textbook, Statistics for Management and Economics, perform the following activities:
."Random Variables and Discrete Probability Distributions":
1. Given a binomial random variable with n = 10 and p = .3, use the formula to find the following probabilities.
o a. P(X = 3)
o b. P(X = 5)
o c. P(X = 8)
2. In the United States, voters who are neither Democrat nor Republican are called Independents. It is believed that 10% of all voters are Independents. A survey asked 25 people to identify themselves as Democrat, Republican, or Independent.
o a. What is the probability that none of the people are Independent?
o b. What is the probability that fewer than five people are Independent?
o c. What is the probability that more than two people are Independent?
"Continuous Probability Distributions":
1. X is normally distributed with mean 250 and standard deviation 40. What value of X does only the top 15% exceed?
2. Travel byus is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
o a. What is the probability of getting more than 12,000 hits?
o b. What is the probability of getting fewer than 9,000 hits?
"Inference about comparing two Populations":
1. In random samples of 25 from each of two normal populations, we found the following statistics:
x?1 = 524 s1 = 129
x?2 = 469 s2 = 141
o a. Estimate the difference between the two population means with 95% confidence.
o b. Repeat part (a) increasing the standard deviations to s1 = 255 and s2 = 260.
o c. Describe what happens when the sample standard deviations get larger.
o d. Repeat part (a) with samples of size 100.
o e. Discuss the effects of increasing the sample size.
2. Random sampling from two normal populations produced the following results:
x?1 = 412 s1 = 128 n1 = 150
x?2 = 405 s2 = 54 n2 = 150
o a. Can we infer at the 5% significance level that ?1 is greater than ?2?
o b. Repeat part (a) decreasing the standard deviations to s1 = 31 and s2 = 16.
o c. Describe what happens when the sample standard deviations get smaller.
o d. Repeat part (a) with samples of size 20.
o e. Discuss the effects of decreasing the sample size.
o f. Repeat part (a) changing the mean of sample 1 to x?1 = 409
o g. Discuss the effect of decreasing x?1.
"Chi-Squared Tests":
1. GSS2012* Do foreign-born Americans differ from Americans born in the United States (BORN: 1 = Born in the U.S., 2 = Born elsewhere) in their support of political groups (PARTYID3: 1 = Democrat, 2 = Independent, 3 = Republican)?
2. ANES2008* Read about campaign in newspaper (READ)
Submit your answers in a 4- to 5-page Microsoft Word document and import any associated work in Microsoft Excel.
Name your document SU_MBA5008_W3_A3_LastName_FirstInitial.doc.
Submit your document to this W3: Assignment 3 Dropbox by Thursday, March 10, 2016.
Cite any sources using the APA format on a separate page.