The heights of European 13-year-old boys can be approximated by a normal model w
ID: 3065443 • Letter: T
Question
The heights of European 13-year-old boys can be approximated by a normal model with mean of 64.2 inches and standard deviation of 2.22 inches.
Question 1. What is the probability that a randomly selected 13-year-old boy from Europe is taller than 65.9 inches? (use 4 decimal places in your answer)
Question 2. A random sample of 4 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65.9 inches? (use 4 decimal places in your answer)
Question 3. A random sample of 9 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65.9 inches? (use 4 decimal places in your answer)
Explanation / Answer
1)
probability that a randomly selected 13-year-old boy from Europe is taller than 65.9 inches:
2)
the probability that the sample mean height x is greater than 65.9 inches:
3)
probability that the sample mean height x is greater than 65.9 inches:
for normal distribution z score =(X-)/ here mean= = 64.2 std deviation == 2.220Related Questions
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