Average daily temperature data was collected for the cities of Sapporo, Japan, and Vladivostok, Russia, for the period from 6 August 2020 to 20 August 2020. These cities are both at approximately 43 degrees north in latitude but on opposite sides of the Sea of Japan. The average temperature data can be found on Moodle (original sources:

https://www.meteoblue.com/en/weather/archive/export/vladivostok_russia_2013348 https://www.meteoblue.com/en/weather/archive/export/sapporo_japan_2128295.)

Consider both sets of temperature data.

a) Is this a paired or unpaired situation?

b) Construct a 95% confidence interval for the mean difference in temperatures between Sapporo and Vladivostok. What can you conclude from this confidence interval?

and

c) Use aparametrictest to determine whether there is any difference in the mean temperature between Sapporo and Vladivostok. State clearly the null and alternative hypotheses and show all steps in the hypothesis test. Do not use Excel.

d) Use anonparametrictest to determine whether there is any difference in the mean temperature between Sapporo and Vladivostok. State clearly the null and alternative hypotheses and show all steps in the hypothesis test.

e) Which of these two tests is most appropriate in this case? Give appropriate evidence.