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The lengths of lumber a machine cuts are normally distributed with a mean of 98 inches and a standard deviation of 0.5 Question list l6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 98.24 inches? (b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 98.24 inches? O Question 8 . (a) The probability is :l. 0 Question 9 (Round to four decimal places as needed.) (b) The probability is :|. 0 Question 10 (Round to four decimal places as needed.) 0 Question 11 0 Question 12 0 Question 13 0 Question 14 A population has a mean u = 70 and a standard deviation 6 = 20. Find the mean and standard deviation ofa sampling Question \"St I6 distribution of sample means with sample size n = 237. E> O Quest'on 9 p- = (Simplify your answer.) (I; = I: (Type an integer or decimal rounded to three decimal places as needed.) 0 Quest'on 10 O Quest'on 11 O Quest'on 12 O Quest'on 13 O Quest'on 14 0 Question 15 Assume the random variable x is normally distributed with mean p= 50 and standard deviation 6 = 7. Find the indicated Question list I probability. P(x > 38) O Quest'on 11 P(x > 38) = :| (Round to four decimal places as needed.) 0 Quest'on 12 O Quest'on 13 O Quest'on 14 O Quest'on 15 O Quest'on 16 0 Question 17