1. With the beginning of the Bronco hockey season the university needs to make sure that the ice remains in good condition. In order for the ice to be playable the surface temperature should be 26°F. To verify that this requirement is met the ice surface temperature was taken once a day for the last two weeks leading up to the first game. For this sample of 14 temperatures the average was 26.8°F and the standard deviation was .5°F. The university wishes to use this information to test whether or not the average surface temperature of the ice is the required 26°F. Assume the temperatures are normally distributed and that 95% confidence is needed.
2. Continuing with Lawson Arena, another important factor in maintaining good playing conditions is the humidity in the arena. Ideally the humidity should be at 30%, but anything less is also acceptable. Like the temperature, the university collected data on humidity. However, instead of once per day the humidity was taken twice per day. Over the two weeks the sample size of 28 had an average humidity of 32% and a standard deviation of 4%. The university wishes to test if the average humidity is less than 30%. Assume the humidity is normally distributed and that 95% confidence is needed. Treat % as a unit for this question.
3. For the last two problems determine the following:
A. Construct a 95% two sided confidence interval on the mean surface temperature of the ice in the arena.
B. Determine the p-value for question number 2. How does it compare to the alpha value?
C. What can you say about these conclusions? Meaning, due they differ from your previous conclusions