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Statistics - Random Variables

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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/100 ml.)
93 88 82 105 99 110 84 89

The sample mean xbar 93.8. Let x be a random variable representing glucose readings readings taken from Gentle Ben. We may assume that the x has a normal distribution, and we know from the past experience that
= 12.5. The mean glucose level for horses should be = 85mg / 100ml (Reference Merck Veterinary Manual). Do these data indicate that the Gentle Ben has an overall average glucose level higher than 85? Use the = 0.05.

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