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A statistical analysis of 1,000 long-distance calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with μ = 240 seconds and σ = 40 seconds.
a. What is the probably that a call lasted less than 180 seconds?
b. What is the probability that a particular call lasted between 180 and 300 seconds?
c. What is the probability that a call lasted between 110 and 180 seconds?
d. What is the length of a call if only 1% of all calls are shorter?
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Use RNG in Excel to generate n = 5 observations from the Normal distribution N(20, 5). Test H0: μ = 20 versus H0: μ ≠ 20 at the α = 0.05 level of significance. Repeat this process 100 times and then count the number of times that you reject H0.
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