Asked by Stuck

Bottles of water are labeled as containing 12 oz. Statistics students weighted the content of 7 randomly chosen bottles and found the mean weight to be 12.15 oz.

Assume that bottles of water are filled so that the actual amounts are normally distributed with a mean of 12.00 oz. and a standard deviation of .09 oz. Find the probability that a sample of 7 cans will have a mean amount of at least 12.15 oz.

I took (12.15-12)/.09 and got 1.66666667. I took the value for 1.7 in the normal distribution table and got .9525. I entered that as my answer and it wasn't right, so I thought that maybe it was supposed to be 1-.9525, but that wasn't right either. Should the 7 cans somehow fit into this?

Answers

Answered by Reiny
I used this page
http://davidmlane.com/hyperstat/z_table.html
and got the same result as you did after
1 - .9525

What answer are you supposed to get?
Answered by Anonymous
It's an online program that my homework is on, and it only tells you whether you're right or not. The more I thought about it, if the bottles have a mean of 12, they'll never have a mean of 12.15. I tried 0 and it came up correct.
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