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

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- May 28th 2013, 10:46 AMcollegeprooHypothesis 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 - May 28th 2013, 10:47 AMcollegeprooRe: 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. - Jun 5th 2013, 02:54 PMNazaninRe: 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.

- Aug 9th 2013, 08:04 PMspacemenonRe: 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