2. A physical fitness association is including the mile run in its secondary sch

Question

2. A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. Between what times do we expect most (approximately 95%) of the boys to run the mile?

(20 points)

3. Question #3 has two parts; A and B. Be sure to answer both parts for full credit.

Part A. Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute P(12 X 15) from the binomial distribution we must compute _____ as the normal approximation.

A) P(12.5 X 15.5) B) P(11.5 X 14.5) C) P(11.5 X 15.5) D) P(12.5 X 14.5)

Part B. List all the conditions that must be met to approximate a binomial probability distribution with the standard normal distribution.

Explanation / Answer

Mean is 470 and s is 60

for 95% confidence the z value is 1.96

thus lower limit is mean-z*s=470-60*1.96=352.4

upper limit is mean+z*s=470+60*1.96=587.6

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.