# Stoaches

Stoaches are fictional creatures distantly related to bigfoot and yeti.

Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g.

State the probability that the sample mean of a random sample of 36 stoach weights exceeds 943g.

(Report the probability using at least four decimal places. )

Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g.

State the probability that the sample mean of a random sample of 36 stoach weights exceeds 943g.

(Report the probability using at least four decimal places. )

### Correct answer:

**Showing 2 comments:**

**Matematik**

Use our normal distribution calculator:

https://www.hackmath.net/en/calculator/normal-distribution?mean=904&sd=17.3333&area=above&above=943&below=&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate

https://www.hackmath.net/en/calculator/normal-distribution?mean=904&sd=17.3333&area=above&above=943&below=&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate

**Dr Math**

the answer provided is different to the correct answer should be using the standard error as it's related to sample mean not mean as a whole therefore m = 904 g Standard deviations 104 divide by square root of 36 which is equal to 17.33333333 / 17.3333 (4d. p) then add to the calculator provided this number mean 904 standard deviation 17.3333 above 943 and the answer = 0.0122 (4.d. p)

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