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 84 107 99 110 86 89 The sample mean is x ≈ 94.5. Letx be a random variable representing glucose readings taken from Gentle Ben. We may assume thatx has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 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? H 0: μ = 85;H 1: μ H 0: μ = 85;H 1: μ > 85; right-tailed H 0: μ > 85;H 1: μ = 85; right-tailed H 0: μ = 85;H 1: μ ≠ 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student'st, since we assume thatx has a normal distribution with known σ.The standard normal, since we assume thatx has a normal distribution with unknown σ. The Student'st, sincen is large with unknown σ.The standard normal, since we assume thatx has a normal distribution with known σ. Compute thez value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) theP-value. (Round your answer to four decimal places.)

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 84 107 99 110 86 89 The sample...

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).

107

110

The sample mean is x ≈ 94.5. Letx be a random variable representing glucose readings taken from Gentle Ben. We may assume thatx has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 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?

H
₀: μ = 85;H
₁: μ < 85;="">

H
₀: μ = 85;H
₁: μ > 85; right-tailed

H
₀: μ > 85;H
₁: μ = 85; right-tailed

H
₀: μ = 85;H
₁: μ ≠ 85; two-tailed

(b)

What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The Student'st, since we assume thatx has a normal distribution with known σ.The standard normal, since we assume thatx has a normal distribution with unknown σ. The Student'st, sincen is large with unknown σ.The standard normal, since we assume thatx has a normal distribution with known σ.

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

(c)

Find (or estimate) theP-value. (Round your answer to four decimal places.)

Jun 02, 2022

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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). 95 86 84 107 99 110 86 89 The sample...

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