Question

Outcome of a fair six-sided die can be shown to have a mean of 3.5 and...

Outcome of a fair six-sided die can be shown to have a mean of 3.5 and standard deviation of 1.708. By weighting a dice, one can change the frequency distribution of the dice, and possibly change the mean or standard deviation of the outcomes. Suppose a certain dice is thrown 30 times, and the outcomes have a mean of 3.733333 and a standard deviation of 1.638614.Test the claim this dice has a mean different from 3.5.

The test statistic is ________ and its value is _______.

The P-value is obtained on a TI-84 calculator using the function __________.

The P-value is _________.

There________sufficient evidence to_________the claim.

Are the necessary requirements satisfied for the above results to be valid? _______.

Are the necessary requirements satisfied to be able to test whether the dice has a standard deviation different from 1.708? ___________.

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