1) Given a binomial random variable with n = 10 and p = .3, use the formula to find the following probabilities.

a.

P(X = 3)

b.

P(X = 5)

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.

3)

Xis normally distributed with mean 250 and standard deviation 40. What value of X does only the top 15% exceed?

4) Travelbyus 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.

5) XrA13-05 the electric company is considering an incentive plan to encourage its customers to pay their bills promptly. The plan is to discount the bills 1% if the customer pays within 5 days as opposed to the usual 25 days. As an experiment, 50 customers are offered the discount on their September bill. The amount of time each takes to pay his or her bill is recorded. The amount of time a random sample of 50 customers not offered the discount take to pay their bills is also recorded. Do these data allow us to infer that the discount plan works?

6) GSS2008* is there sufficient evidence to conclude that people who work for the government (WRKGOVT: 1 = Government, 2 = Private) work fewer hours (HRS)? For each of the following variables, conduct a test to determine whether Democrats and Republicans (PARTY 1 = Democrat, 3 = Republican) differ in their correct answers to the following questions.

7) 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)?

8)Excel users should note that any row containing one or two empty cells must be removed. Use a 5% significance level.

For each of the following variables, conduct a test to determine whether there are differences between the three political party affiliations (PARTY3: 1 = Democrat, 2 = Republican, 3 = Independent).

ANES2008* Have access to the Internet (ACCESS)

Part 2

Assignment 4: Final Project

Estimation

Your final project entails systematic extraction of decision-aiding insights out of a dataset (SampleDataSet.xlsx) provided to you in the Doc Sharing area.

In this section, you will carry out the following basic estimation and tests of differences using the provided SampleDataSet.xlsx:

1. Identify three continuous and three discrete variables and describe their distribution numerically (e.g., central tendency, spread) as well as graphically. Compare the results.

2. Using the variables selected, conduct all possible t-tests and chi-squared tests. Describe your findings.

In addition, discuss how data limitations (e.g., missing values, etc.) can affect the validity and reliability of statistical estimations and tests of differences. Be specific. Show your work using Microsoft Excel and import your work into a Microsoft Word document.

Submit your response with imported Microsoft Excel work in a 3- to 4-page Microsoft Word document.