Questions: Question 4 (Mandatory) (3.1 points) The minimally accepted level of significance is the level of significance. A Question 5 (Mandatory) (3.1 points) An important implication of the formula for the standard error (of the mean) is that whenever the sample size increases, the value of the standard error

Question 4: The minimally accepted level of significance is the $\qquad$ level of significance.

Understanding the concept of significance level

The level of significance, denoted by \( \alpha \), is the probability of rejecting the null hypothesis when it is true. The minimally accepted level of significance is the smallest value of \( \alpha \) that is considered acceptable in a statistical test.

Identifying the minimally accepted level of significance

The minimally accepted level of significance is commonly referred to as the critical level of significance. This is the threshold below which the null hypothesis is rejected.

\\(\boxed{\text{critical}}\\)

Question 5: An important implication of the formula for the standard error (of the mean) is that whenever the sample size increases, the value of the standard error $\qquad$.

Understanding the formula for standard error

The standard error of the mean (SEM) is calculated as:
\[ \text{SEM} = \frac{\sigma}{\sqrt{n}}
\]
where \( \sigma \) is the population standard deviation and \( n \) is the sample size.

Analyzing the relationship between sample size and standard error

As the sample size \( n \) increases, the denominator \( \sqrt{n} \) also increases. This causes the standard error to decrease.

\\(\boxed{\text{decreases}}\\)

\\(\boxed{\text{critical}}\\)
\\(\boxed{\text{decreases}}\\)