1.n=30, H0: mean=10, HA: mean<10, level of significance=0.01

Suppose the t statistic were calculated to be t = -3.141. Applying the __t distribution__ approximation, what is the **greatest lower bound** for the corresponding p-value that is implied by the above critical value table? What is the **least upper bound** for the p-value?

Now using a __normal approximation__ to the null distribution of the t statistic, what is the **greatest lower bound** for the p-value that is implied by the above critical value table? what is the **least upper bound** for the p-value?

2.n=21, H0: mean=100, HA: mean not equal 100, level of significance=0.05

Suppose the t statistic were calculated to be t = -0.242. Applying the __t distribution__ approximation, what is the **greatest lower bound** for the corresponding p-value that is implied by the above critical value table? What is the **least upper bound** for the p-value?

Now using a __normal approximation__ to the null distribution of the t statistic, what is the **greatest lower bound** for the p-value that is implied by the above critical value table? What is the **least upper bound** for the p-value?

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