True or false how do you know?
2 answers:
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Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
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)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Answer:
The area of the pentagon is = 31.5
Step-by-step explanation:
<em>First, we determine the perimeter of the "Pentagon" drawn in the attachment:</em>
<em>Now, we'll check the formula for pentagons:</em>
<em>we calculate the apothem by placing a 90° angle in one of the sides of the shape. It is equal to:</em>
apothem=3
<em>then, we can substitute the values in the formula</em>
Let me know if you have questions :D
