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).      91 88 80 105 97 108 86 87 The sample mean is x ≈ 92.8. 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 ? = 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 85? Use ? = 0.05. a) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? choose one: H0: ? > 85; H1: ? = 85; right-tailed H0: ? = 85; H1: ? > 85; right-tailed H0: ? = 85; H1: ? ≠ 85; two-tailed H0: ? = 85; H1: ? < 85; left-tailed b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. choose one: -The Student's t, since n is large with unknown ?. -The Student's t, since we assume that x has a normal distribution with known ?. -The standard normal, since we assume that x has a normal distribution with known ?. -The standard normal, since we assume that x has a normal distribution with unknown ?. c) Compute the z value of the sample test statistic. (Round your answer to two decimal places.)

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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).      91 88 80 105 97 108 86 87

The sample mean is x ≈ 92.8. 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 ? = 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 85? Use ? = 0.05.

a) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? choose one:

H0: ? > 85; H1: ? = 85; right-tailed
H0: ? = 85; H1: ? > 85; right-tailed
H0: ? = 85; H1: ? ≠ 85; two-tailed
H0: ? = 85; H1: ? < 85; left-tailed

b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. choose one:
-The Student's t, since n is large with unknown ?.
-The Student's t, since we assume that x has a normal distribution with known ?.
-The standard normal, since we assume that x has a normal distribution with known ?.
-The standard normal, since we assume that x has a normal distribution with unknown ?.

c) Compute the z value of the sample test statistic. (Round your answer to two decimal places.)

 

 

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