11.

Give a 95% confidence interval, for μ1−μ2μ1-μ2 given thefollowing information.

n1=25n1=25, ¯x1=2.65x¯1=2.65, s1=0.91s1=0.91
n2=45n2=45, ¯x2=2.45x¯2=2.45, s2=0.83

---------- ± -----------  Use Technology Rounded to 2decimal places.

13.

Two samples are taken with the following numbers of successesand sample sizes
r1r1 = 36 r2r2 = 33
n1n1 = 60 n2n2 = 100

Find a 99% confidence interval, round answers to the nearestthousandth.
---------- < p1−p2p1-p2 < ------------

14.

Two samples are taken with the following sample means, sizes,and standard deviations
¯x1x¯1 = 40 ¯x2x¯2 = 27
n1n1 = 50 n2n2 = 45
s1s1 = 5 s2s2 = 3

Estimate the difference in population means using a 94% confidencelevel. Use a calculator, and do NOT pool the sample variances.Round answers to the nearest hundredth.
---------- < μ1−μ2μ1-μ2 < ------------

16.

You wish to test the following claim (HaHa) at a significancelevel of α=0.02α=0.02.

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

You obtain 29.1% successes in a sample of size n1=508n1=508 fromthe first population. You obtain 24.6% successes in a sample ofsize n2=783n2=783 from the second population. For this test, youshould NOT use the continuity correction, and you should use thenormal distribution as an approximation for the binomialdistribution.

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

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