# Z-score test

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decimal rounded to the fourth decimal place.

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**Dr Math**

Normal distribution calculator helps:

https://www.hackmath.net/en/calculator/normal-distribution?mean=0&sd=1&above=&area=below&below=1.2&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate

s = population standard deviation for n-repeat test

https://www.hackmath.net/en/calculator/normal-distribution?mean=0&sd=1&above=&area=below&below=1.2&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate

s = population standard deviation for n-repeat test

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