The standard deviation of the items tested is 80.
Test the hypothesis that the mean is exactly 1000 at α = 0.01
State the null and alternative hypothesis:
H0: μ = 1000HA: μ ≠ 1000
Calculate our test statistic z:
z = | X - μ |
σ/√n |
z = | 980 - 1000 |
80/√100 |
z = | -20 |
80/10 |
z = | -20 |
8 |
z = -2.5
Determine rejection region:
Since our null hypothesis is H0: μ = 1000, this is a two tailed testChecking our table of z-scores for α(left); = 0.005 and α(right); = 0.995, we get:
Z left tail of = -2.3263 and Z right tail of
Our rejection region is Z < -2.3263 and Z >
Since our test statistic of -2.5 is in the rejection region, we reject H0
What is the Answer?
Since our test statistic of -2.5 is in the rejection region, we reject H0
How does the Hypothesis testing for the mean Calculator work?
Free Hypothesis testing for the mean Calculator - Performs hypothesis testing on the mean both one-tailed and two-tailed and derives a rejection region and conclusion
This calculator has 5 inputs.
What 1 formula is used for the Hypothesis testing for the mean Calculator?
What 7 concepts are covered in the Hypothesis testing for the mean Calculator?
alternative hypothesisopposite of null hypothesis. One of the proposed proposition in the hypothesis test.H1conclusionhypothesisstatistical test using a statement of a possible explanation for some conclusionshypothesis testing for the meanan act in statistics whereby an analyst tests an assumption regarding a population meanmeanA statistical measurement also known as the averagenull hypothesisin a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
H0test statistica number calculated by a statistical test
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