Question

Gentle Ben is a Morgan horse at aColorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml) 92 87 82 107 97 110 86 88 The sample mean is x-93.6. Let x be a rando variable representing glucose readings taken from Gentle Ben. we may assume that x has a normal dstribution, and we know from past experience that σ·125. The mean glucose level for horses should be μ-85 mg/100 ml. t Do these data idate that Gente Ben has an overall average glucose level higher than 85? Use α-0.05. (a) What is the level of significance? 005 State the null and alternate hypotheses, Will you use a left-tailed, right-tailed, or two-talled test? o mo: μ > 85; M1 : μ 85; right-tailed O Mo' μ 85; M1 : μ > 85; right-tailed Mo' μ 85; Hi : μ < 85; left-tailed b) What sampling distribution will you use? Explain the rationale for your choice of samping distribution O The Student's t, snce n is large with unknown. " The standard normal, since we assume that x has a normal distribution with known ơ, The Student's t, since we assume that x has a normal distribution with known a 0 The standard normal, since we assume that x has a normal distribution with unknown σ. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (e) find (or estimate) the P-value. (Round your answer to four decimal places.)

Answer 1

Answer

b)

ZScore Calculations

Z = (M - μ) / √(σ² / n)

Z = (93.6 - 85) / √(12.5 / 8)

Z = 8.59999999999999 / 1.25

Z = 6.88

C)

For z= 6.88 the value from z table is very small 0.000001

P value = 0.0000