A group of high school long jumpers from a particular geographic location are randomly sampled. The following distances are recorded:

180.34,192.22,198.68,171.23,193.43,194.05,185.4,185.63,185.48,182.88,186.18,182.01,183.79,190.52,197.68,189.12,185.91,182.71,183.3,209.33,191.07,186.07,186.48,193.68,184.45,178.41,194.6,181.81,189.88,182.51,198.82,186.2,184.32,185.99,176.97,180.66,172.56,179.27,187.65,186.27,201.6,181.45,183.16,187.76,182.05,182.25,181.14,179.98,185.81,186.03,175.55,185.34,181.13,181.88,188.7,194.5,203.18,183.81,202.85,180.74

In other words, the first jump noted was 180.34 inches, the second was 192.22, and so on.

A regional sports organizing organization believes that these values are lower than they should be to be on par with other schools in the region. The group recommends a value of 187.0 or more must be achieved in order to remain in the current league. Because the mean value of this sample is 186.6, they say this establishes that the group should be moved to a lower level league.

Using a confidence interval of 90%, do a hypothesis test to determine whether or not the recorded athletes' values are indeed below 187.0.