Posted by **rick** on Tuesday, July 31, 2012 at 3:56pm.

The average middle-distance runner at a local high school runs the mile in 4.5 minutes, with a standard deviation of 0.3 minute. The percentage of a runners that will run the mile in less than 4 minutes is %.

- math -
**Damon**, Tuesday, July 31, 2012 at 5:16pm
.5/.3 = 1.67 standard deviations below mean

Look at table for normal distribution

My quick table is very rough

for z = -1.6 F(z) = .055

for z = -1.7 F(z) = .045

so about F(1.67) = about .05 or 5 %

By the way, I do not believe it. Suspect sigma much lower than 0.3 min or possibly not a normal distribution at all.

## Answer this Question

## Related Questions

- math - the average middle distance runner at a local high school runs the mile ...
- statistics - The average middle-distance runner at a local high school runs the ...
- psychology - If the mean score on a one mile running test was 14 minutes and the...
- Physics Again - In 1954 the English runner Roger Bannister broke the four minute...
- Math - A goal for elite runners is to complete a mile in 4 minutes. At what ...
- Math - A physical fitness association is including the mile run in its secondary...
- math - A physical fitness association is including the mile run in its secondary...
- physics - In 1954, Roger Bannister became the first human to run a mile in less ...
- physics - in 1954 roger bannister became the first human to run a mile in less ...
- Alegebra - A physical fitness association is including the mile run in its ...