Question 6In an agricultural study, the average amount of corn yield is normally distributed with a mean of

185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn. If a study included 1100 acres, about how many would be expected to yield more than 190 bushels of corn per acre?

A)461 acres

B)639 acres

C)503 acres

D)419 acres

Question 7

On average, the parts from a supplier have a mean of 35.8 inches and a standard deviation of 2.4 inches. Find the probability that a randomly selected part from this supplier will have a value between 28.6 and 43.0 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?

A)Probability is 0.95, which is inconsistent with the Empirical Rule

B)Probability is 0.05, which is inconsistent with the Empirical Rule

C)Probability is 0.997, which is consistent with the Empirical Rule

D)Probability is 0.997, which is inconsistent with the Empirical Rule

Question 8

A process is normally distributed with a mean of 10.6 hits per minute and a standard deviation of 0.49 hits. If a randomly selected minute has 12.3 hits, would the process be considered in control or out of control?

A)Out of control as this one data point is more than two standard deviations from the mean

B)In control as only one data point would be outside the allowable range

C)In control as this one data point is not more than three standard deviations from the mean

D)Out of control as this one data point is more than three standard deviations from the mean

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