Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose reading from the horse (in mg/100 mg). 92  87  82  107  99  109  85  89 The sample mean x-bar is 93.8. Let x be a random variable representing glucose readings taken from gentle Ben.  We may assume x has a normal distribution, and we know from past experience that the standard deviation = 12.5. The mean glucose level for horses should be mu = 85mg/100gl.  Do these data indicate that gentle Ben have a overall average glucose level higher than 85? Use alpha = 0.05A- Compute z value of the sample stasistic test. Round answer to 2 decimal placesB- Find (or estimte) the P-Value . Round answer to 4 decimal places I get 1.99 for the z value but cannot come up with correct p-value.

Question
Asked Jul 6, 2019

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose reading from the horse (in mg/100 mg). 

92  87  82  107  99  109  85  89 

The sample mean x-bar is 93.8. Let x be a random variable representing glucose readings taken from gentle Ben.  We may assume x has a normal distribution, and we know from past experience that the standard deviation = 12.5. The mean glucose level for horses should be mu = 85mg/100gl.  Do these data indicate that gentle Ben have a overall average glucose level higher than 85? Use alpha = 0.05

A- Compute z value of the sample stasistic test. Round answer to 2 decimal places

B- Find (or estimte) the P-Value . Round answer to 4 decimal places 

I get 1.99 for the z value but cannot come up with correct p-value.

check_circleExpert Solution
Step 1

Given data of glucose reading for 8 weeks
92 87 82 107 99 109 85 89
The sample x-bar is 93.8 . 
x is normal distribution with standard deviation = 12.5

Given that the mean glucose levelfor horses is µ = 85 mg/100gl
claim is that to see if the gentle Ben have glucose level higher than 85 at 0.05 level of significance.

Null hypot...

Z = 3
Vn
93.8-85 1991
Z =
12.5
=1
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Z = 3 Vn 93.8-85 1991 Z = 12.5 =1

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