1) The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50 Buffalo residents the mean is 22.2 miles a day and the standard deviation is 8.8 miles a day, and for an independent simple random sample of 40 Boston residents the mean is 18.8 miles a day and the standard deviation is 7.1 miles a day. Round your answers to one decimal place.
a. What is the point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residents travel per day? b. What is the 95% confidence interval for the difference between the two populations means? ? to ?
2)
Consider the following hypothesis test.
a. Compute the difference value for each
element.
b. Compute d. c. Compute the standard deviation
sd. d. Conduct a hypothesis test using α =
.05. What is the p-value? |
1) The U.S. Department of Transportation provides the number of miles that residents of the 75...
The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50 Buffalo residents the mean is 22.8 miles a day and the standard deviation is 8.5 miles a day, and for an independent simple random sample of 30 Boston residents the mean is 18.5 miles a day and the standard deviation is 7.2 miles a day our answers...
The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 60 Buffalo residents the mean is 22.6 miles a day and the standard deviation is 8.7 miles a day, and for an independent simple random sample of 30 Boston residents the mean is 18.3 miles a day and the standard deviation is 7.5 miles a day. Round your...
8. The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 60 Houston residents the mean is 25.5 miles a day and the standard deviation is 7.9 miles a day, and for an independent simple random sample of 35 Seattle residents the mean is 21.1 miles a day and the standard deviation is 8.9 miles a day. Formulate...
Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment (U.S. Airways Attache, December 2003). Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). Using the difference data, the sample mean...
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use = .05 and test to see whether the consultant with more experience has the higher population mean...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32 47 34 30 46 37 30 47 36 26 49 37 32 51 41 Sample mean 30 48 37 Sample variance 6 4 6.5 At the = .05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean...
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 6 10 6 5 10 7 4 9 6 5 9 5 6 10 6 4 9 6 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment...
15. {Exercise 12.23 (Algorithmic)} Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 12 14 The estimated regression equation is ŷ = 0.8 + 2.6x. Compute the mean square error using the following equation (to 3 decimals). Compute the standard error of the estimate using the following equation (to 3 decimals). Compute the estimated standard deviation b1 using the following equation (to 3 decimals). Use the t test to...
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 21 27 24 27 24 18 24 30 24 18 24 21 Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use = .05....
Periodically, Merrill Lynch customers are asked to evaluate Merill Lynch financial consultants and services. Higher ratings on the client satisfactian survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a 05 and test to see whether the consaltant with more experience has the higher population mean service rating Excel File: data10-17.xs...