Use a 0.02 significance level to test the claim that the average magnitude for e
ID: 3315355 • Letter: U
Question
Use a 0.02 significance level to test the claim that the average magnitude for earthquakes is greater than 1.20. (use minitab) (completed below is the mini tab data and the info taken off of minitab once all the values were entered)
N = 34
Mean =1.2262
StDev = 0.4069
SEMean = 0.0698
98%CI for u = (1.0556, 1.3968
null hypothesis u=1.2
alt hypothesis u does not equal 1.2
T-value 0.38
P value 0.710
PLEASE ANSWER BELOW
Based on your print out state the decision and explain how you reached it.
Based on your printout state your conclusion that addresses the original claim.
Discuss the error (Type I or Type II) you could have made and why. (If you made that error, what would it mean in terms of your decision)?
Explanation / Answer
Since P-value is 0.710>0.02 the significance level.
So we fail to reject the null hypothesis .
Thus the average magnitude for earthquakes is 1.2
Type-I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding),
We are not rejectting the null hypothesis so this error can not be made.
while a Type II error is incorrectly retaining a false null hypothesis .
So if the null hypothesis is false but we retain it, then it implies that the average magnitude for earthquakes is greater than 1.20 but we fail to conclude it.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.