.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/100ml). 93 88 83 105 99 110 87 89 Let x be a...

.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/100ml).

93   88  83  105   99   110   87   89

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 ? = 12.8 . The mean glucose level for horses should be ? = 86 mg/100 ml. Do these data indicate that Gentle Ben has an overall average glucose level higher than 86? Use ? = 0.05.

d. What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
e. Compute the sample test statistic.
f. Using Critical region method, find (or estimate) the critical value. Sketch the sampling distribution and show the area corresponding to the critical region.