Question: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse.

93 88 82 105 99 110 84 89

The sample mean is x ≈93.8. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution and we know from past experience that ? = 12.5. The mean glucose level for horses should be μ=85 mg/100ml. Do these date indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = .05.