10. [0.12/0.22 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.1.020.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 86 B2 105 101 108 84 91 The sample mean is x = 94.0, 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 o = 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 85? Use a = 0.05. (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: M = 85; H1: M > 85; right-tailed Ho: M = 85; H1: M $ 85; two-tailed Ho: H = 85; H1: M 85; H1: H = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with unknown c. 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 a. The Student's t, since we assume that x has a normal distribution with known o. 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.)