z score normal distribution formula
z = (x - μ) / σ
(a) between 72 and 74
P(z< 72) = (72 - 73) / 6 = -0.17
P(z< 74) = (74 - 73) / 6 = 0.17
P(-0.17 < z < 0.17) = 0.1350
(b) random sample of 21 line
z = (x - μ) / (σ/ sqrt (n))
n = 21
P(z< 72) = (72 - 73) / (6/sqrt(21)) = -0.76
P(z< 74) = (74 - 73) / (6/sqrt(21)) = 0.76
P(-0.76 < z < 0.76) = 0.5527
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard...
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of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 1 inches a) What is the probability that an 18- year-old man selected at r andom is between 66 and 68 inches tall? (Round your anewer to four (b) If a random sample of twenty-aight 18-year-old men is selected, what is the probability t decimal places.) hat the mean height i is between 66 and 6e inches? (Round your answer to four
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