Answer:
Given:
n = 15
c = 95% = 0.95
Let us assume:
α = 0.05
Determine the difference in value of each pair.
→See attached for the table←
→See attached for the for the workings←
Result
a) There is sufficient evidence to reject the claim that the two methods provide the same mean value for natural vibration frequency.
b) (-10.9646, -0.0068)
Answer:
a)
b)
Step-by-step explanation:
Part a
Since the buoy oscillates in simple harmonic motion the equation to model this is given by:
For this case from the info given we know that:
"It returns to its high point every 10 seconds." That means period =10 , and the angular frequency can be founded like this:
Assuming that the value for the phase is our model equation is given by:
Part b
From definition we can obtain the velocity with the derivate of the position function and if w calculate the derivate we got this: