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Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks,...

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 83 107 97 112 83 91

The sample mean is x ≈ 94.8. 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 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) 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 to four decimal places.)

Solutions

Expert Solution

a)
alpha = 0.05
b)
TS = 2.217
= 2.22

c)
p-value = P(Z > TS)
= 0.0133

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milcah answered 1 year ago
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