Testing H0: μ=0 Against Ha: μ≠0 with 10 Observations

[melissa5789]

Homework Statement

For a quantitative variable, you want to test H0; \mu=0, against Ha, mu not equal 0. The 10 observations are 3,7,3,3,0,8,1,12,5,8

a. I get this part
b. The P-value is 0.002. Interpret, and make a decision using a significance level of 0.05. Interpret.
c. If you had used Ha: mu>0, what would the P-value be? Intrepret.
d. If you had instead used Ha: mu<0, what wold the P-value be? Intrepret it.

Homework Equations

b.
Does intrepret mean draw it, or say it? I have the table, but the value don't go as low as 0.002. What do I do?

c&d. I'll probably understand this if I can understant part b.
Help me please. xoxoxoxox

The Attempt at a Solution

 

[Tedjn]

You can draw a normal curve, and indicate what p = 0.002 for a two-sided test means on there, but you should also explain it in words. What does a probability of 0.002 mean; in other words, what has a 0.002 chance of occurring? When you perform your test, what are you assuming is true?