Question: Reference page 321 and 322 in your book for help with the following.

1. Find the mean of the sampling distribution of the sample mean of rolling a die 10 times (ie. n = 10) Hint: Orange box on pg. 321 has some helpful formulas.
2. Find the standard deviation (standard error) of the sampling distribution of the sample mean of rolling a die 10 times (ie. n = 10) Hint: Orange box on pg. 321 has some helpful formulas.
3. Draw a rough sketch of the sampling distribution of the sample mean of rolling a die 10 times (ie. n = 10). Label the mean you found in part (a) on your graph.
4. Should the curve of this sampling distribution labeled as X, Z or \(\overline{x}\) ? Why?
5. Find \[P(\overline{x}<2.5)\] . Show your work.

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