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 ma/100 ml). 91 87 83 105 99 108 84 87 The sample mean is x - 93.0. 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 of = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.+ Do these data Indicate that Gentle Ben has an overall average glucose level higher than 857 Use a = 0.05, a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, right-talled, or two-talled test? O Ho: H = 85; HI HI 85; right-tailed O Ho: H > BS; H1: H = 85; right-talled O Ho: H = 85; Hi HI - 85; two-talled b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with unknown o. The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known of. The standard normal, since we assume that x has a normal distribution with unknown . 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.) Sketch the sampling distribution and show the area corresponding to the P-value. AA 98:8 8 4 9 sn A O Oil backs A