Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a

Question

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).

The sample mean is x 94.1. 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) What is the level of significance?

(b) What is the 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.)

Explanation / Answer

Solution:

= 85, x = 94.1, = 12.5, n = 8
(a) What is the level of significance = 0.05
H0: µ= 85; H1: µ> 85
right-tailed

(b) Test statistic t = (x – )/(/n)
= (94.1- 85)/(12.5/8)
= 2.0591
(c) P-value = 0.039
Since 0.039 < 0.05, we reject H0 and accept Ha

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