In: Statistics and Probability
(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 14.614.6 units. An increase from 75.62875.628 to
8383 is a rise of about 9%.
1. Construct a 99% confidence interval estimate of the
differenceμ1−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 .
2. At a 0.010.01 significance level, is there sufficient
evidence to show that sales this year are different from last
year?
A. No
B. Yes