Answer:
<u>always</u>
Step-by-step explanation:
For this hypothesis test:
<u>The Decision rule: </u> To reject the null hypothesis if the p-value is lesser than < the significance level.
At the level of significance 0.01, the null hypothesis is rejected.
So, p-value < 0.01 and this typically shows that p-value is < 0.05.
Therefore, it will <u>always</u> be rejected at ∝ = 0.05
the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7
<u>Step-by-step explanation:</u>
Here we have , to find the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake . Let's find out:
We know that , Value of earthquake is given by formula
⇒ , Where M is magnitude of earthquake
is the measured magnitude of intensity of earthquake .
is the standard magnitude of intensity of earthquake .
According to question , , Hence
⇒
⇒
⇒
⇒ { On rounding off we get }
⇒
Therefore , the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7