QUESTION 1 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). 91 89 80 107 99 111 85 88 The sample mean is x 93.8. 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 o = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. (Reference: The Merck Veterinary Manual). At a 5% level of significance, do these data indicate that Gentle Ben has an overall average glucose level higher than 85? In Section 9.1 assignment the following test was determined to be the appropriate test for this problem: Ho: μ = 85 Hy: μ > 85 α: 0.05 What distribution will you use for this test? (choose standard normal z or student's t) Calculate the sample test statistic for this test? What is the P-value for this test? Will you reject or fail to reject the null hypothesis? State your conclusion filling the blanks: At % level of significance (reject or fail to reject) to find that Gentle Ben's glucose level is higher than average. (use the tables from the textbook to find this value - not an online resource - state to four decimal places.) the null hypothesis. There is (sufficient or insufficient) evidence
QUESTION 1 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). 91 89 80 107 99 111 85 88 The sample mean is x 93.8. 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 o = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. (Reference: The Merck Veterinary Manual). At a 5% level of significance, do these data indicate that Gentle Ben has an overall average glucose level higher than 85? In Section 9.1 assignment the following test was determined to be the appropriate test for this problem: Ho: μ = 85 Hy: μ > 85 α: 0.05 What distribution will you use for this test? (choose standard normal z or student's t) Calculate the sample test statistic for this test? What is the P-value for this test? Will you reject or fail to reject the null hypothesis? State your conclusion filling the blanks: At % level of significance (reject or fail to reject) to find that Gentle Ben's glucose level is higher than average. (use the tables from the textbook to find this value - not an online resource - state to four decimal places.) the null hypothesis. There is (sufficient or insufficient) evidence
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:QUESTION 1
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).
89 80 107 99 111 85 88
91
The sample mean is x ≈ 93.8. 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 o = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml. (Reference: The Merck Veterinary Manual). At a 5%
level of significance, do these data indicate that Gentle Ben has an overall average glucose level higher than 85?
In Section 9.1 assignment the following test was determined to be the appropriate test for this problem:
Ho: μ = 85
H₁: μ> 85
α: 0.05
What distribution will you use for this test? (choose standard normal z or student's t)
Calculate the sample test statistic for this test?
What is the P-value for this test?
(use the tables from the textbook to find this value - not an online resource - state to four decimal places.)
Will you reject or fail to reject the null hypothesis?
State your conclusion filling the blanks:
At
% level of significance (reject or fail to reject)
to find that Gentle Ben's glucose level is higher than average.
the null hypothesis. There is (sufficient or insufficient)
evidence
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