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 88 80 107 99 112 84 The sample mean is x x 94.5. 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 o = 12.5. The mean glucose level for horses should be , = 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-tailed, right-tailed, or two-talled test? O Ho: M = 85; Hip 85; right-tailed O Ho: H > 85; H1: # = 85; right-tailed O Ho: H = 85; H1:M $ 85; two-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 o. O 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. O The Student's t, since we assume that x has a normal distribution with known a. 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.)