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) Find (or estimate) the P-value. (Round your answer to four decimal places.) b) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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Author:Amos Gilat
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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) Find (or estimate) the P-value. (Round your answer to four decimal places.)

b) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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