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Question 32

If the probability that event A occurs is 0.51, the probability that event B occurs is 0.64 and that probability that both A and B occur is 0.23 then:

Options:

events A and B are complementary

events A and B are mutually exclusive

events A and B are supplementary

events A and B are not mutually exclusive

events A and B are statistically independent

Question 33

The word “champion” in the context of Six Sigma projects refers to:

Options:

the team that has had the most impact on the bottom line

the person who has coordinated teams most effectively

the individual who has outpaced all others in six sigma knowledge

none of the above

Question 34

SCENARIO A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.

Find the sample linear correlation coefficient and the sample coefficient of determination for the data in problem VI.11.

Options:

0.83, 0.69

0.49, 0.24

0.74, 0.55

0.33, 0.11

Question 35

A population is bimodal with a variance of 5.77. One hundred samples of size 30 are randomly collected and the 100 sample means are calculated. The standard deviation of these sample means is approximately: