b444 module 7 homework

Homework Assignment #7

Name: __________________________

All calculations should be done in Word using Equation Editor and all charts and graphs should be done in Excel.

The next 4 questions refer to the following scenario. The victory of Bill Clinton in the 1996 presidential election was attributed to improved economic conditions and low unemployment. Suppose a survey of 701 adults taken soon after the election resulted in the following cross-classification of financial condition with education level:

	H.S. Degree of Lower	Some College	College Degree or Higher
Worse off now	81	45	22
No difference	101	73	28
Better off now	151	58	142

At a .05 level of significance, is there evidence of a relationship between financial condition and education level?

What is the Hypothesis Scenario?

Compute an “Expected Frequencies” table.

Compute the value of the chi-square test statistic and p-value.

What is the conclusion?

Use the following scenario to answer the 4 questions. A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 PM lunch period. The waiting time needs to be shortened to increase customer satisfaction. A random sample of 10 customers is selected, and stored in bank 1, the results, in minutes, are as follows:

4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.62

Another branch is also concerned with the noon to 1 PM lunch period. A random sample of 11 customers is selected, and stored in bank 2, and the results, in minutes, are as follows:

9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35 10.49 6.68 3.95

Is there evidence of a difference in the median waiting time between the two branches? Use? = .05

What is the hypothesis scenario?

State n₁, n₂, and the critical values for the rejection regions.

What is the Wilcoxon Rank Sum Test Statistic?

State your decision and conclusion.

Review the information about the percentage of colors in a bag of M&M's on theStatistics Project - Introduction page inModule 01.

Requirements:

1. Using your favorite color, construct a 95% 1-sample proportion confidence interval using the sample size and proportions that you got in the Module 03 project and interpret your results.
2. Next, using that same favorite color, construct a 95% 1-sample proportion confidence interval using the sample size and proportion that you got in the Module 05 project and interpret your results.
3. What do you notice about the two confidence intervals? Which Margin of Error is smaller and why do you think this is?