40 randomly selected items were tested. It was found that the average of the sample was 469.
The standard deviation of the items tested is 73.
Test the hypothesis that the mean is exactly 475 at α = 0.10
State the null and alternative hypothesis:
H0: μ = 475HA: μ ≠ 475
Calculate our test statistic z:
| z = | X - μ |
| σ/√n |
| z = | 469 - 475 |
| 73/√40 |
| z = | -6 |
| 73/6.3245553203368 |
| z = | -6 |
| 11.542313459615 |
z = -0.51982646468521
Determine rejection region:
Since our null hypothesis is H0: μ = 475, this is a two tailed testChecking our table of z-scores for α(left); = 0.05 and α(right); = 0.95, we get:
Z left tail of = -1.6449 and Z right tail of 1.6449
Our rejection region is Z < -1.6449 and Z > 1.6449
Since our test statistic of -0.51982646468521 is not in the rejection region, we accept (cannot reject) H0
You have 2 free calculationss remaining
What is the Answer?
Since our test statistic of -0.51982646468521 is not in the rejection region, we accept (cannot 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.
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.
H1 - 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.
H0 - test statistic
- a number calculated by a statistical test
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