Gentle Ben is a Morgan horse at a Colorado dude ranch. Over thepast 8 weeks, a veterinarian took the following glucose readingsfrom this horse (in mg/100 ml).
The sample mean is x ≈ 94.8. Let x be a randomvariable representing glucose readings taken from Gentle Ben. Wemay assume that x has a normal distribution, and we knowfrom past experience that σ = 12.5. The mean glucose levelfor horses should be μ = 85 mg/100 ml.†Do these dataindicate that Gentle Ben has an overall average glucose levelhigher than 85? Use α = 0.05.
(a) What is the level of significance?
Compute the z value of the sample test statistic.(Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer tofour decimal places.)
