Question

To test H0:Mu=30 versus H1:Mu<30, a simple random sample of n=12 is obtained from a population that is known to be normally distributed with standard deviation = 4.5. I need to use the 6 step p-value method.

Answer 1

\[\overline{x}=\text{?}\]

Answer 2

Oh wait, xbar = 28.6. Can't believe I didn't see that before...

Answer 3

So I use the xbar-mu/standarddev/sqrt n?

Answer 4

yes...that is your test statistic

Answer 5

alrighty...

Answer 6

Okay, so I got -1.07, now I look that up on a negative Z-table?

Answer 7

yes

Answer 8

Alright, .1423, is that the P-value?

Answer 9

If that is what your table gives you...using my calculator I get .140579286609

Answer 10

what do you get with z=-1.08

Answer 11

.1423

Answer 12

I thought that was with -1.07

Answer 13

Oh, so where did you get -1.08?

Answer 14

That's .1401

Answer 15

i rounded...z=-1.07772050249

Answer 16

Oh, okay.

Answer 17

So what do I do with that number? Is that the p-value?

Answer 18

based on that number do you think you should reject the null hypothesis?

Answer 19

I reject if the p value is less than the level of significance, so since .1401 is greater than .05, I don't reject?

Answer 20

correct ... you would not reject the null hypothesis

Answer 21

Alright, thanks for the help.

Answer 22

np