100 randomly selected items were tested. It was found that the average of the sample was 980. 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:

H_{0}: μ = 1000 H_{A}: 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 H_{0}: μ = 1000, this is a two tailed test Checking 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 H_{0}

What is the Answer?

Since our test statistic of -2.5 is in the rejection region, we reject H_{0}

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 hypothesis

opposite of null hypothesis. One of the proposed proposition in the hypothesis test. H_{1}

conclusion

hypothesis

statistical test using a statement of a possible explanation for some conclusions

hypothesis testing for the mean

an act in statistics whereby an analyst tests an assumption regarding a population mean

mean

A statistical measurement also known as the average

null hypothesis

in a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error. H_{0}