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).

92 89 82 105 97 111 82 89

The sample mean isx93.4. Letxbe a random variable representing glucose readings taken from Gentle Ben. We may assume thatxhas 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.

Compute thezvalue of the sample test statistic. (Round your answer to two decimal places.

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