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Essay text:
Given the distribution of bounce test scores described above, what score value should only be exceeded only 5% of the time? For what score should only 5% of the balls do more poorly?
Since the bounce test scores follow a normal distribution, we can find out the test scores that exceed only 5% of the time, as well as the 5% that do more poorly.
First, we need to find out the z-score for each case.
Let X be the discrete random variable of the bounce test score.
Then, X~N(30.00, 2.00)
Let the score value that exceeds 5% of the time be A.
P(X A) = 0.05
1 – P(X A) = 0.05
P(z ) = 0.95
From the table,
z-score is 1...
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