Question

Will all earthquakes above the 95th percentile cause indoor items to​ shake?

A. ​No, because no earthquakes above the 95th percentile have magnitudes above 4.0.
B. ​Yes, because all earthquakes above the 95th percentile have magnitudes above 4.0.
C. ​No, because not all earthquakes above the 95th percentile have magnitudes above 4.0.
D. ​Yes, because earthquakes above the 95th percentile are very rare and powerful.

Answer 1

A

Step-by-step explanation:

A) ​No, because not all earthquakes above the 95th percentile have magnitudes above 4.0.

Here we have asked to find the 95th percentile (x).

95th percentile (x)=
`Z_0.95*\sigma + \mu = [1.645 * ( 0.579)] + 1.105`

= 2.057

Hence we get- 95th percentile (x) is 2.057 (Rounded to three decimal places)

Here 95th percentile has magnitude (2.057) < 4 hence