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/100ml).

93 88 82 105 99 110 84 89
_
the sample mean is x ˜ 93.8. let x be a random variablerepresenting glucose readings taken from gently ben. we may assumethat x has a normal distribution, and we know from past experiencethat σ = 12.5. the mean glucose level for horses should beμ = 85mg/100ml (reference: merck veterinarian manual). do thesedata indicate that gentle ben has an overall average glucose levelhigher than 85? use α = 0.05.

a) what is the level of significance? state the null and alternate hypotheses. will you use aleft-tailed, right-tailed, or two-tailed test?

b) what sampling distribution will youuse? explain the rationale for your choice of samplingdistribution. what is the value of the sample teststatistic?

c) find (or estimate) thep-value. sketch the sampling distribution and show the areacorresponding to the p-value.

d) based on your answers in part (a)to (c) will you reject or fail to reject the null hypothesis? arethe data statistically significant at level α?

e) state your conclusion in thecontext of the application.

ps.(the line is over the x and theequal sign is like a wave, it won't post properly for somereason).