Question

1.

The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $135.67, and the average expenditure in a sample survey of 34 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $38, and the standard deviation for female consumers is assumed to be $20.

1. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)?
   
2. At 99% confidence, what is the margin of error (to 2 decimals)?
   
3. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals)

2.

Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data representative of independent samples of Target and Walmart customers are shown below.

Target	Walmart
n 1 = 25	n 2 = 30
x 1 = 79	x 2 = 71

a. Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores the two retailers.
H₀:  ₁ -  ₂ - Select your answer -greater than 0greater than or equal to 0less than 0less than or equal to 0equal to 0not equal to 0Item 1
H_a:  ₁ -  ₂ - Select your answer -greater than 0greater than or equal to 0less than 0less than or equal to 0equal to 0not equal to 0Item 2

b. Assume that experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and report the p-value. Round your answer to four decimal places. Use z-table.

p-value =

At a .05 level of significance what is your conclusion?

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

conclusion???

Answer 1