You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 24 and a population standard deviation 6 and a sample size of 12. Machine 2 has a sample mean of 18 and a population standard deviation of 6 with a sample size of 9. With an alpha of .05 can we claim that there is a difference between the output of the two machines. Which of the following statements are true?
A. We will not reject the null hypothesis
B. The resulting test statistic will be greater than 1
C. The critical values you will use are 1.84 and -1.84
D. A and B are correct
E. A, B, and C are correct
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