The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data?

Question

anonymous · Answer

what sentences are there?

anonymous · Answer

About 160 people weigh more than 165 pounds.

About 320 people weigh more than 165 pounds.

About 320 people weigh less than 165 pounds.

About 640 people weigh less than 165 pounds.

anonymous · Answer

one sec. Let me get my calculator

anonymous · Answer

ok

anonymous · Answer

The weight 165 pounds is 1 standard deviation above the mean weight of 150 pounds. Therefore the z-score for 165 pounds is 1.0. The cumulative probability of weights less than 65 pounds can be found from a standard normal distribution table such as the one here: http://lilt.ilstu.edu/dasacke/eco148/ztable.htm When you have found the cumulative probability of weights less than 165 pounds multiply by 1000 to find approximately how many people weigh less than 165 pounds. The correct choice of answer can then be found.

anonymous · Answer

ok lol. someone else asked this same question 8 months ago.

anonymous · Answer

I'll brb I have to eat dinner tell me if this helps or not

anonymous · Answer

okay so the answer is 1000 divived by 165?

anonymous · Answer

ya i think so

anonymous · Answer

this is the page I got the answer from http://openstudy.com/study#/updates/51e2ecf9e4b0d9a104dc01ef