Find the critical value. Assume that the test is two-tailed and that $n$ denotes the number of pairs of data. $n = 30 , \alpha = 0.05$
A) $- 0.362$
B) $\pm 0.362$
C) $\pm 0.306$
D) $0.362$

Question

Quizplus · Accepted Answer

Since the test is two-tailed and alpha is 0.05, we need to split the alpha into two equally sized tails, resulting in an alpha of 0.025 in each tail. Using a t-table with 29 degrees of freedom (n-1), we can find the critical t-value to be approximately 2.045. Multiplying this value by the standard error of the mean (which we would need more information to calculate) would give us the critical value for the test. However, since we are not given the standard error of the mean, the closest answer choice is B, which gives us both positive and negative values around the critical t-value.

Find the Critical Value nnn Denotes the Number of Pairs of Data

Find the Critical Value $n$ Denotes the Number of Pairs of Data