Question: Glucose Level: Horses

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 (in mg/100ml).

93 88 82 105 99 110 84 89

The sample mean is \[\bar{X}\] ≈ 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 \[\sigma \] = 12.5. The mean glucose level for horses should be \[\mu \] = 85 mg/100ml (Reference: Merck Veterinary Manual). Do these data indicate that Gentle Ben has an overall average glucose lever higher than 85? Use x = 0.05.