Question 1
Study Figure 1a in the Resource Booklet and Figure 1b below.
This data in Figure 1b was collected to investigate whether there was a significant difference in earthquake depth at the two plate boundaries shown in Figure 1a.
| Number of earthquakes recorded in 2016 | Mean focal depth of earthquakes (in kilometres) | |
| Plate boundary A | 186 | 34.8 |
| Plate boundary B | 145 | 12.7 |
Frequency and focal depth of earthquakes in New Zealand, 2016
Answer
Calculate the average monthly frequency of earthquakes at the two plate boundaries.
You must show your working.
(2)
Answer
A Student’s t-test was used to determine whether there was a statistical difference in the mean focal depth of the earthquakes at the two plate boundaries.
Two hypotheses were tested:
Using the partially completed Student’s t-test below, calculate the value of t.
(1)
Answer
Study Figure 1c below.
| Confidence level | 0.10 (90% significance) | 0.05 (95% significance) | 0.01 (99% significance) |
| Critical value of Student’s t-test | 1.6 | 2.0 | 2.6 |
Critical values for this Student’s t-test
Using the Student’s t-test value calculated in (a) (ii), state whether there is a significant difference between the mean focal depth of the earthquakes.
(1)
Answer
Assess the reasons why some communities are more vulnerable than others to tectonic hazards.
(12)
Answer