1. Give a 95% confidence interval, for μ1−μ2μ1-μ2 given the following information. n1=30, ¯x1=2.94, s1=0.34 n2=45, ¯x2=2.71, s2=0.53 _____±______...

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

n1=30, ¯x1=2.94, s1=0.34
n2=45, ¯x2=2.71, s2=0.53

_____±______ Use Technology Rounded to 2 decimal places.

2. You wish to test the following claim (HaHa) at a significancelevel of α=0.002. For the context of this problem,μd=PostTest−PreTestμd=PostTest-PreTest where the first data setrepresents a pre-test and the second data set represents apost-test. (Each row represents the pre and post test scores for anindividual. Be careful when you enter your data and specify whatyour μ1 and μ2 are so that the differences are computedcorrectly.)

      Ho:μd=0
      Ha:μd≠0
You believe the population of difference scores is normallydistributed, but you do not know the standard deviation. You obtainthe following sample of data:

pre-testpost-test
27.27.7
38.152.5
61.948.8
54.361.6
5398
4657.3
58.4125.6
53.624.8
5852.3
5595.6
52.676.3
46.42.9
6490.4
52.388
53.695.6



What is the test statistic for this sample?
test statistic =  (Report answer accurate to 4 decimalplaces.)

What is the p-value for this sample?
p-value = (Report answer accurate to 4 decimal places.)

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