The average low temperature for Marquette, MI in December is 12F. The average low temperature for each of 8 randomly selected years is listed as: 11.0, 12.4, 11.8, 10.9, 11.4, 12.2, 10.8, and 12.2. Assume the December low temperature distribution is normal. It is of interest to know if the sample data suggest the average low temperature is lower than 12F. Perform an appropriate hypothesis test using the .01 level of significance. (You should provide 5 steps for hypothesis testing)