Problem 1:
(Hottest Places on Earth)
Death Valley in Eastern California and Al-Aziziyah in Libya are commonly recognized as two of the hottest places on Earth. A meterologist is interested in whether summer temperatures differ between Death Valley and Al-Aziziyah. She records the temperature on 8 randomly selected summer days in Death Valley, and 9 randomly selected summer days in Al-Aziziyah. She obtains the following results (in Fahrenheit):
Death Valley:
117.1
120.2
125.3
115.5
116.6
114.1
122.9
119.2
Al-Aziziyah:
103.2
120.1
117.5
101.8
115.4
118.7
106.2
124.1
103.7
Question:
Do summer temperatures differ between Death Valley and Al-Aziziyah?
(a) We will first use a 2 sample t test to address this question.
Verify that we will use the unpooled scenario here.
(b) Conduct a 2 sample t test. Use α= 0.1.
(c) Use a Wilcoxon-Mann-Whitney Test to address the above question. Use α= 0.1.
(d) Which test is more appropriate to use here? Explain your answer.