You are interested in figuring out if elite distance swimmers can keep the same pace between events. In the first time-trial, you record the length of time it takes each of five swimmers to complete 5 km open water swim. In a second time-trail two weeks later you again record the time for each of the same five swimmers to complete a second 5 km open water swim. The two recorded times (in minutes) for each swimmer are in the table below. [9 marks]

Swimmer ID	Pat	Jane	Kala	Mark	Sun
Trial 1	72.9	62.2	77.1	66.4	67.8
Trial 2	74.1	71.2	69.5	60.1	68.7

A. What is the statistical population.

B. Indicate the statistical test that is most appropriate for this data / scientific question being asked. Be specific.

C. Write the null and alternative hypotheses.

D. Calculate the observed test score, rounded to two decimal places.

E. Find the critical test statistic (see the formulae sheet for the statistical tables)

F. Calculate the 95% confidence interval (rounded to 1 decimal place).

G. Write your statistical conclusions. Include your rationale for the statistical conclusions.

H. Write your scientific conclusions.