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In: Statistics and Probability

(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 deviation 7.37.3 units. A decrease from 78.62678.626 to 7171 is a drop of about 11%.

1. Construct a 99% confidence interval estimate of the difference μ1−μ2μ1−μ2, where μ1μ1 is the mean of this year's sales and μ2μ2 is the mean of last year's sales.

(a) __?__<(μ1−μ2)<<(μ1−μ2)<____?___

(b) The margin of error is :

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