3.2 randomly selected items were tested. It was found that the average of the sample was 3.7.
The standard deviation of the items tested is 1.8.
Test the hypothesis that the mean is exactly 4.2 at α = 0.05
State the null and alternative hypothesis:
H
0: μ = 4.2
H
A: μ ≠ 4.2
Calculate our test statistic z:
z = | -0.5 |
| 1.8/1.7888543819998 |
z = -0.49690399499995
Determine rejection region:
Since our null hypothesis is H
0: μ = 4.2, this is a two tailed test
Checking our table of z-scores for
α(left); = 0.025 and
α(right); = 0.975, we get:
Z left tail of = -1.8808 and Z right tail of 2.0537
Our rejection region is Z < -1.8808 and Z > 2.0537
Since our test statistic of -0.49690399499995 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 -0.49690399499995 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.
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
Tags:
Add This Calculator To Your Website