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). 95 90 81 103 98 111 86 88 The sample...

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 x ≈ 94.0. Letx be a random variable representing glucose readings taken from Gentle Ben. We may assume thatx has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 0.05.

A)  Compute the
z value of the sample test statistic. (Round your answer to two decimal places.)




(B)  Find (or estimate) the
P-value. (Round your answer to four decimal places.)

C    Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

D    State your conclusion in the context of the application.