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Sherman 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). 94 91 85 104 102 109 85 90 The sample mean is x≈ 93.5. Let x be a random variable representing glucose readings taken from Sherman. 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 Sherman 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? (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the z value of the sample test statistic. (c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.

Sherman 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). 94 91 85 104 102 109 85 90 The sample mean is x≈ 93.5. Let x be a random variable representing glucose readings taken from Sherman. 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 Sherman 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? (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the z value of the sample test statistic. (c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Sherman 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). 94 91 85 104 102 109 85 90 The sample mean is x 93.5. Let x be a random variable representing glucose readings taken from Sherman. We may assume that x has a normal distribution, and we know from past experience that a = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. + Do these data indicate that Sherman has an overall average glucose level higher than 85? Use α = 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? (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the z value of the sample test statistic. (c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. Step 1 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? (e) State your conclusion in the context of the application. (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? The level of significance is typically reported as an alpha value, such as a = 0.01 or x = 0.05, or a percentage, such as 1% or 5% level of significance. We are given a = 0.05 in this case, so the significance level is
Transcribed Image Text:Sherman 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). 94 91 85 104 102 109 85 90 The sample mean is x 93.5. Let x be a random variable representing glucose readings taken from Sherman. We may assume that x has a normal distribution, and we know from past experience that a = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. + Do these data indicate that Sherman has an overall average glucose level higher than 85? Use α = 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? (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the z value of the sample test statistic. (c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. Step 1 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? (e) State your conclusion in the context of the application. (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? The level of significance is typically reported as an alpha value, such as a = 0.01 or x = 0.05, or a percentage, such as 1% or 5% level of significance. We are given a = 0.05 in this case, so the significance level is
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