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Asked Nov 21, 2019

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Step 1

**Note:**

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Step 2

**a. False, **

As the degrees of freedom increases, the t-distribution approaches normality. This means that, the area near the center increases while the area near the tail decreases. When the degrees of freedom decreases, the area near the center decreases while the area near the tail increases. Or otherwise, as the degrees of freedom increases, the sample size increases and thus, the sample approaches the population.

Thus, the statement that **‘As the degrees of freedom k decrease, the t distribution density curve gets closer to the N(0,1) curve’ is False.**

Step 3

**b. False,**

The standard error of the mean obtained by dividing the sample standard deviation with the square root of sample size. That is, SE= s/sqrt(n).

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