Question

In: Statistics and Probability

A market research firm supplies manufacturers with estimates of the retail sales of their products from...

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 16 stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 14.6 units. During the same point in time last year, an SRS of 10 stores had mean sales of 49.254 units, with standard deviation 5.4 units. An increase from 49.254 to 64 is a rise of about 23%.

1. Construct a 99% confidence interval estimate of the difference μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales. (a) ____- <(μ1−μ2)< _____ (b) The margin of error is _______________ .

2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?

Solutions

Expert Solution


Related Solutions

A market research firm supplies manufacturers with estimates of the retail sales of their products from...
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 29 stores this year shows mean sales of 61 units of a small appliance, with a standard deviation of 6.2 units. During the same point in time last year, an SRS of 17 stores had mean sales of 53.994 units, with standard deviation 7.7...
A market research firm supplies manufacturers with estimates of the retail sales of their products from...
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 25 stores this year shows mean sales of 83 units of a small appliance, with a standard deviation of 13.6 units. During the same point in time last year, an SRS of 14 stores had mean sales of 68.176 units, with standard deviation 3.4...
A market research firm supplies manufacturers with estimates of the retail sales of their products from...
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 1010 stores this year shows mean sales of 8282 units of a small appliance, with a standard deviation of 9.29.2 units. During the same point in time last year, an SRS of 1414 stores had mean sales of 89.8289.82 units, with standard deviation 13.413.4...
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores.
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 29 stores this year shows mean sales of 74 units of a small appliance, with a standard deviation of 12.2 units. During the same point in time last year, an SRS of 26 stores had mean sales of 62.166 units, with standard deviation 15.2...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 1414 stores this year shows mean sales of 8383 units of a small appliance, with a standard deviation of 7.67.6 units. During the same point in time last year, an SRS of 2424 stores had mean sales of75.62875.628 units, with standard deviation...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 1414 stores this year shows mean sales of 7171 units of a small appliance, with a standard deviation of 8.28.2 units. During the same point in time last year, an SRS of 1515 stores had mean sales of 78.62678.626 units, with standard...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their...
(1 point) A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 11 stores this year shows mean sales of 58 units of a small appliance, with a standard deviation of 7 units. During the same point in time last year, an SRS of 14 stores had mean sales of 51.21 units, with standard...
Viking InterWorks is one of many manufacturers that supplies memory products to original equipment manufacturers (OEMs)...
Viking InterWorks is one of many manufacturers that supplies memory products to original equipment manufacturers (OEMs) of desktop systems. The CEO recently read an article in a trade publication that reported the projected demand for desktop systems to be: Qddesktop = 1600 - 2Pdesktop + 0.6M (in millions of units), where Pdesktop is the price of a desktop system and M is consumer income. The same article reported that the incomes of the desktop system’s primary consumer demographic would increase...
Viking InterWorks is one of many manufacturers that supplies memory products to original equipment manufacturers (OEMs)...
Viking InterWorks is one of many manufacturers that supplies memory products to original equipment manufacturers (OEMs) of desktop systems. The CEO recently read an article in a trade publication that reported the projected demand for desktop systems to be: Qddesktop = 1600 - 2Pdesktop + 0.6M (in millions of units), where Pdesktop is the price of a desktop system and M is consumer income. The same article reported that the incomes of the desktop system’s primary consumer demographic would increase...
A market research firm has been hired to investigate the variability of retail pricing on an...
A market research firm has been hired to investigate the variability of retail pricing on an item that is sold in stores in Los Angeles and in San Diego. They gather data from a sample of 21 stores in Los Angeles and 16 stores in San Diego. The sample standard deviations (s) of the sales prices are Los Angeles stores = $12 and San Diego Stores = $14. Determine whether the price variation in these two cities is the same....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT