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4.The average American consumed 10.6 pounds of mozzarella cheese in 2009. Do male and female consumers...

4.The average American consumed 10.6 pounds of mozzarella cheese in 2009. Do male and female consumers differ in the amounts of mozzarella cheese they consume? The average consumption in a survey of 35 male consumers was 12.9 pounds, and the average consumption in a survey of 50 female consumers was 8.4 pounds. Based on past surveys, the standard deviation for male consumers is assumed to be 4.4 and the standard deviation for female consumers is assumed to be 3.1. Develop a 99% confidence interval for the difference between the two population means.

Math   Statistics-And-Probability   
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Answer #1

In general, (1-)% confidence interval for difference in population mean is obtained as foloows :

Since all the required values are provided in the question given above and also
Z (/2) = Z(0.005) = 2.5758 (from Z tables)

The 99% confidence interval for difference in population mean is :

( 2.2762 , 6.7238 )

Since, the 99% confidence interval does not consists of zero, we conclude that male and female consumers differ in the amounts of mozzarella cheese they consume.

Hope this answers your query!

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