1. A manager wants to test if there is a significant difference in the variance of...

1. A manager wants to test if there is a significant difference in the variance of the output from two similar machines. It has been determined that the output of the two machines is normally distributed. To carry out the hypothesis test about the population variances, the manager takes random samples from the output of each machine. The results are: Machine 1 Machine 2 1x=128.9 2x=159.5 s1= 6.8 s2= 7.2 n1=13 n2=15 a.)What is the observed value of the appropriate test statistic? b.) For a 0.05 level of significance, what is the upper tail critical value for the rejection region?

2. If the test statistic for testing the hypothesis that the difference between two population proportions is greater than zero using data from large samples is 1.30, then...?

3. When using the F-value to test the hypotheses about the population variances one of the major concern is that...?

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