SOLUTION: At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes. What is the probability t

Question 581465: At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes. What is the probability that a randomly selected time will be less than 4 minutes?
Thanks again.
Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website!

mean = 4.5 minutes
P(x<4 minutes)
How many standard deviations?
(4-4.5)/(.3) = -.5/.3 = -1.6666666 = -1 2/3 std dev
z-score = -1.666666, p value = .0478
4.78%
RELATED QUESTIONS
Questions 15 through 19 build on each other: A local hospital claims its ED mean wait... (answered by Boreal)

A local hospital claims its ED mean wait time is less than 45 minutes. A random selection (answered by Boreal)

the waiting time x at a certain bank is approximately normally distributed with a mean of (answered by ewatrrr)

For women at Hartford college, times to run 400 meters are normally distributed with a... (answered by ewatrrr)

At a local grocery plant, employees must complete new machine setups within 30... (answered by solver91311)

A local medical research association proposes to sponsor a footrace. The average time it... (answered by ewatrrr)

Use the 68-95-99.7 rule to solve the problem. For women at Hartford College, times to... (answered by rothauserc)