1. Construct a 95% confidence interval estimate of the difference μ₁ - μ2, where μ₁ is the mean of this year's sales and M2 is the mean of last year's sales. (a) < (μ₁ −μ₂) < (b) The margin of error is ⠀

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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 24 stores this year shows mean sales of 83 units of a small appliance, with a standard deviation of 6.6 units. During the same point in time last year, an SRS of 31 stores had mean sales of 76.334 units, with standard deviation 12.5 units. An increase from 76.334 to 83 is a rise of about 8%.

1. Construct a 95% confidence interval estimate of the difference \( \mu_1 - \mu_2 \), where \( \mu_1 \) is the mean of this year's sales and \( \mu_2 \) is the mean of last year's sales.

(a) \([ \text{Input Box} ] < (\mu_1 - \mu_2) < [ \text{Input Box} ]\)

(b) The margin of error is \([ \text{Input Box} ]\).
Transcribed Image Text:1. Construct a 95% confidence interval estimate of the difference \( \mu_1 - \mu_2 \), where \( \mu_1 \) is the mean of this year's sales and \( \mu_2 \) is the mean of last year's sales. (a) \([ \text{Input Box} ] < (\mu_1 - \mu_2) < [ \text{Input Box} ]\) (b) The margin of error is \([ \text{Input Box} ]\).
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