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 (in mg/100 ml).

The sample mean is \[\overline{x}\] \[\approx \] 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/100 ml (Reference Merck Veterinary Manual). Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use \[\alpha \] =0.05.