For a quantitative variable, you want to test H0: = 0 against Ha: 0.

Question:

For a quantitative variable, you want to test H0: μ = 0 against Ha: μ ≠ 0. The 10 observations are
3, 7, 3, 3, 0, 8, 1, 12, 5, 8.
a. Show that
(i) x = 5.0,
(ii) s = 3.71,
(iii) Standard error = 1.17,
(iv) Test statistic = 4.26, and
(v) df = 9.
b. The P-value is 0.002. Make a decision using a significance level of 0.05. Interpret.
c. If you had instead used Ha: μ > 0, what would the P-value be? Interpret it.
d. If you had instead used Ha: μ 6 0, what would the P-value be? Interpret it.