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

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 x = 94.9. 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. Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use alpha = 0.05. (a) What is the level of significance? What is the value of the sample test statistic? () (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Explanation / Answer

level of significance= 0.05

for std error=std deviation/(n)1/2 =4.4194

hence test statisitcs z=(X-mean)/std error =(94.9-85)/4.4194 =2.2401

p value for above test stat =0.0125

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