Over the last few weeks, you have gone birdwatching at your local park and recording the number of distinct bird species that you saw each day. Your recorded counts were (11,6,10,7,6,9,12,11,11). However, when walking through the park, you found a sign which stated that visitors should only expect to see 8 bird species each day.

Use hypothesis testing to determine whether this claim is accurate, based on the data you've seen. Use a significance level of =0.05. Assume all random variables are normally distributed, and that the true standard deviation of bird species is 2.