Business Stats fraction of calls

Statistics
Tutor: None Selected Time limit: 1 Day

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.70 minutes and the standard deviation was 0.60 minutes.

What fraction of the calls last between 3.00 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

 
Sep 22nd, 2015

Thank you for the opportunity to help you with your question!

To make a probability calculation involving a normal distribution, it is helpful to translate the given distribution into the standard normal distribution so that the standard normal table can be used. The translatION is done by calculating a z-score for each of 3.00 and 5.00, then consulting a table to see what proportion of the area under the standard normal curve is between z(3) and z(5). The z-score formula is shown below.


Then z(3) = (3 - 3.70) / 0.60 = -1.17 and z(5) = (5 - 3.70) / 0.60 = 2.17, so the fraction of calls lasting between 3 and 5 minutes is the proportion of the area under the STANDARD normal curve between 
z = -1.17 and z = 2.17. That proportion can be looked up in a table or calculated online to be: 0.864 OR ABOUT 864 OUT OF 1000.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 23rd, 2015

That was not correct :(

Sep 23rd, 2015

I just entered that and it was incorrect.

Sep 23rd, 2015

Can you try this one

Cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York where the mean time is 38.8 minutes. Assume the distribution of travel times in New York follows the normal probability distribution and the standard deviation is 7.7 minutes.

ROUND ALL ANSWERS TO TWO DECIMAL PLACES

What % of commutes are less than 27 minutes

What % are between 27 & 35 minutes?

What % are between 27 and 43 minutes? 

Sep 23rd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Sep 22nd, 2015
...
Sep 22nd, 2015
Dec 3rd, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer