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Extra Credit - As usually up to 5 points will be assigned...

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As usually up to 5 points will be assigned for the correct solution: 1. Suppose x is a normally distributed random variable with μ = 60,000 and ó = 2500. Find P(x > 57,500). A) .1587 B) .2266 C) .7266 D) .8413 2. Suppose x is a normally distributed random variable with μ = 12.37 and ó = 0.04. Find P( 12.27 < x < 12.33). A) .8475 B) .1649 C) .8351 D) .1525 3. Suppose x is a normally distributed random variable with μ=440 and ó=40. Find the probability that x assumes a value more than 2.5 standard deviations from its mean. A) 0.0124 B) 0.9938 C) 0.0062 D) 0.9876 4. Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.47 ounce and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.37 and 12.51 ounces. A) .1649 B) .1525 C) .8351 D) .8475 5. A marketing research company needs to estimate the average total compensation of CEOs in the service industry. Data were randomly collected from 18 CEOs and the 97% confidence interval was calculated to be What assumptions are
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