Let X be a random variable that represents the weights in pounds (lb) of adult males who are in their 40s. X has a normal distribution with mean ? = 168 lbs and standard deviation ? = 5 lbs. An adult male in his 40s that weighs above 170.5 is considered overweight. A) What is the probability that one adult male in his 40s is overweight? (Round your answer to four decimal places.) B) What is the probability that 24 adult males in their 40s have a mean weight over 170.5 lbs? (Round ?_x? to two decimal places and your answer to four decimal places.) C) What is the probability that 35 adult males in their 40s have a mean weight over 170.5 lbs? (Round ?_x? to two decimal places and your answer to four decimal places.) D) This sampling distribution problem requires the sample size to be greater than or equal 30. True False
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5. Using a standard normal distribution table or calculator, we can find the z-score corresponding to 170.5 as: z = (170.5 - 168) / 5 = 0.5 The area to the right of this z-score is 0.3085. Show more…
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