1) Do male and female servers at Swank Bar work the same number of hours? A sample of 55 female servers worked an averag

[answerhappygod]

1) Do male and female servers at Swank Bar work the same number
of hours? A sample of 55 female servers worked an average of 20
hours per week, with a standard deviation of 2. A sample of 55 male
servers worked an average of 40 hours per week, with a standard
deviation of 5.


Let μ1μ1 and μ2μ2 represent the typical number
of hours worked by all female and male servers at Swank Bar,
respectively. Estimate with a 86% confidence level how many more
hours female servers work. Round answers to the nearest
hundredth.
2)You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.

Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2

You obtain a sample from the first population with 59 successes and
144 failures. You obtain a sample from the second population with
82 successes and 257 failures. For this test, you should NOT use
the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

< μ1−μ2μ1-μ2 <