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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) 93 89 81 104 97 111 85 88 The sample mean is93.5. 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 μ-85 mg/100 ml. t Do these data indicate that Gentle Ben has an overal average glucose level higher than 85? Use a-0.05. 12.5. The mean glucose level for horses should be (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: μ-85; H1: μ < 85; left-tailed Ho: μ-85; H1 : μ > 85; right-tailed O Ho : μ > 85; H1 μ-85; right-tailed O Ho : μ-85; H1 : μ # 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Students t, since n is large with unknown o O The Students t, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown σ 0 The standard normal, since we assum e that x has a normal distribution with known. 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.)

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