Statistics I Chapter 4, Chapter 5 and Chapter 6 10. Heights of male students in

Question

Statistics I Chapter 4, Chapter 5 and Chapter 6 10. Heights of male students in the eighth grade are normally distributed with a mean of 57.2 in. and standard deviation of 2.4 in. Find the height that is the 90th percentile a. 61.50 b. 59.03 c. 55.10 d. 60.27 11. For a normally distribution with mean 25.0 and standard deviation 2.5, find all x values that are in the lower 77.64% of the distribution? a. 22.54 b. 24.63 c. 26.90 d. 25.60 12. A school district is assumed to have 8,000, 5th graders. The average weight of a Sth grader is 75 pounds, with a standard deviation of 20 pounds. If a random sample of 50 students is drawn, find the probability that the average weight of a student from the drawn sample will be between 60 and 70 pounds a. 0.0390 b. 0.1747 c. 0.4010 d. 0.2270

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

10) Mean = 57.2

SD = 2.4

z for 90th percentile = 1.645

(x - 57.2)/2.4 = 1.645

x = 61.50

A option

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