Posted by **Samantha** on Saturday, May 17, 2014 at 7:08pm.

A pop-music record firm wants the distribution of lengths of cuts on its record to have an average of 129 seconds and a standard deviation of 10 seconds so that disc jockeys will have plenty of time for commercials within each 5-minute period. The population times for cuts is approximately normally distributed with only a negligible skew to the right. You have just timed the cuts on a new release and have found that the 15 cuts average 149 seconds.

What percentage of the time will the average be 149 seconds or longer if the new release is randomly selected? (Give your answer correct to four decimal places.)

(b) If the music firm wants 15 cuts to average 149 seconds less than 5% of the time, what must the population mean be, given that the standard deviation remains at 10 seconds? (Give your answer correct to one decimal place.)

## Answer This Question

## Related Questions

- statistics - The length of country and western songs is normally distributed and...
- Intermediate Algebra - in 1920 the record for a certain race was 45.7 seconds. ...
- algebra - In 1920 the record for a certain race was 46.5 seconds. in 1980 it was...
- Algebra 1 - The world record for the mile was 4:10 and 3:49 in 1975. Assuming ...
- 5th grade Math - Please help me with these math problems. #1 Matt subtracted 1.9...
- Algebra - In 1920, the record for a race was 46.9 seconds. In 1940 it was 46.5 ...
- Statistics - 1. The average time it takes for a cellphone to reboot is 3 ...
- fnu - The length of country and western songs is normally distributed and has a ...
- physical science - The present record for the 100 meter dash is 9.58 seconds. ...
- Physical Science - The present record for the 100 meter dash is 9.58 seconds. ...

More Related Questions