A random sample of n = 30 has a mean of M = 56. Test the H_o that the population mean is = 50 in situations a and b below.

The sample variance is s² = 6: Use two-tailed test at .05. Would the t-statistic be significant? Show the five steps of hypothesis testing. (7 pts)

Suppose the sample variance is s² = 300: Use two-tailed test at .05. Would the t-statistic be significant? (Show only Steps 3 and 4 of hypothesis testing.) (3 pts)

Explain the effect of the size of the variance on the decisions you made above. (2 pts)