# Thread: Hypothesis Testing -Significance level

1. ## Hypothesis Testing -Significance level

The following data were sampled from a normally distributed population. At the 10% significance level, is there evidence to indicate that the mean of the population differs from 16?

12, 15, 14, 19, 15, 20, 16

2. ## Re: Hypothesis Testing -Significance level

So far I determined

12, 14, 15, 15, 16, 19, 20
n = 7
s = 2.7946
α = 0.10

HO: μ = 16
HA: μ ≠ 16

Am i doing the right approach? How do I finish this, I'm at a stump.

3. ## Re: Hypothesis Testing -Significance level

One of the most important thing you didn't calculate is mean. After that you can use Confidence Interval to test your hypothesis.

4. ## Re: Hypothesis Testing -Significance level

remember this is a two tail test so rejection region(area) on both sides of norm curve will be .05,nw check ur sample and find your SAMPLE VARIANCE,then apply the standardization formula z=x-mu/sqrt(sample variance)

find p(x>16) find corresponding z value in N(0,1)and chk that value with z value for rejection region in this case 1.645 and then infer,hpe this helped