Gentle Ben is a Morgan horse at a Colorado dude ranch. Over thepast 8 weeks, a veterinarian took the following glucose readingsfrom this horse (in mg/100 ml).
93 86 83 104 101 108 86 87
The sample mean is x ? 93.5. Let x be a random variablerepresenting glucose readings taken from Gentle Ben. We may assumethat x has a normal distribution, and we know from past experiencethat ? = 12.5. The mean glucose level for horses should be ? = 85mg/100 ml. Do these data indicate that Gentle Ben has an overallaverage glucose level higher than 85? Use ? = 0.05.
Compute the z value of the sample test statistic.(Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer tofour decimal places.)
(d) Based on your answers in parts (a) to (c), will you reject orfail to reject the null hypothesis? Are the data statisticallysignificant at level ??
At the ? = 0.05 level, we reject the null hypothesis andconclude the data are statistically significant.
At the ? = 0.05 level, we reject the null hypothesis andconclude the data are not statisticallysignificant.
At the ? = 0.05 level, we fail to reject the null hypothesis andconclude the data are statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis andconclude the data are not statistically significant.
