ghernadez
01.05.2021 •
Mathematics
You have 4 pounds of peanuts. You want to put it in the bags so that there is 2/3 pounds in each bag. How many bags can you fill ?
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Ответ:
Null hypothesis:
Alternative hypothesis:
If we compare the p value and the significance level given we see that so we can conclude that we FAIL reject the null hypothesis, and the the actual sample average lateral recumbency is not significantly lower than 20.
Step-by-step explanation:
1) Data given and notation
represent the mean for the sample
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
2) State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the true average lateral recumbency time under these conditions is less than 20 min:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
3) Calculate the statistic
We can replace in formula (1) the info given like this:
4) Calculate the P-value
First we need to calculate the degrees of freedom
The critical value for this case would be :
5) Conclusion
If we compare the p value and the significance level given we see that so we can conclude that we FAIL reject the null hypothesis, and the the actual sample average lateral recumbency is not significantly lower than 20.