vascular Lab Quiz: GE 2( x

WA MATH205 - Chapter 8 Test - G X

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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).

93 87 82 103 100 110 86 87

The sample mean is x 2 93.5. 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 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 ?

Ho: H > 85; H1: H = 85; right-tailed

O Ho: H = 85; H1: / # 85; two-tailed

Ho: H = 85; H1: H < 85; left-tailed

Ho: H = 85; H1: / > 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 known 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 unknown o.

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.)

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