2. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 mph and, according to the online document Cheetah Conservation in Southern Africa (Trade & Environment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72 mph.

One common estimate of mean top speed for cheetahs is 60 mph. The following data give the top speeds, in miles per hour, for a sample of 35 cheetahs.

57.3 57.5 59.0 56.5 61.3 62.6 52.6 60.7 62.3 65.2 57.8 60.9 75.3 60.6 58.1 54.7 60.2 52.4 58.3 66.0

57.6 59.2 65.0 60.1 59.7 54.8 55.4 55.5 57.8 58.7 55.9 61.6 59.6 59.8 63.4

At the 5% significance level, do the data provide sufficient evidence to conclude that the mean top speed of all cheetahs differs from 60 mph? Assume that the population standard deviation of the top speeds is 3.2 mpg.

1. a) [10pts] Formulate a hypothesis.
2. b) [10pts] Test the hypothesis.
3. c) [10pts] Interpret the results and draw appropriate conclusions.