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 90 81 103 98 111 86 88 The sample mean is x ≈ 94.0. 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 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 α = 0.05. A) Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(B) Find (or estimate) the P-value. (Round your answer to four decimal places.) C 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 α? D State your conclusion in the context of the application.
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 | 90 | 81 | 103 | 98 | 111 | 86 | 88 |
The sample
A) Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
(B) Find (or estimate) the P-value. (Round your answer to four decimal places.)
C 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 α?
D State your conclusion in the context of the application.
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