The one-sample t statistic for testing H₀: = 500 against H_A: > 500 from a sample of n = 15 observations has the value t = 1.82. Assume that any necessary conditions have been met.

What are the degrees of freedom for this statistic?

Sketch a picture and identify the p-value. What is the p-value of this test statistic?

Is the value t = 1.82 significant at the 5% level? Justify using your part b) answer.

Is the value t = 1.82 significant at the 1% level? Justify using your part b) answer.