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). 95 90 84 107 97 108 82 91 The sample mean is x ≈ 94.3. 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 ? = 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.   State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? = 85; H1: ? ≠ 85; two-tailed H0: ? = 85; H1: ? < 85; left-tailed     H0: ? > 85; H1: ? = 85; right-tailed H0: ? = 85; H1: ? > 85; right-tailed   What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A) The standard normal, since we assume that x has a normal distribution with unknown ?. B) The Student's t, since we assume that x has a normal distribution with known ?.     C) The Student's t, since n is large with unknown ?. D) The standard normal, since we assume that x has a normal distribution with known ?.   Compute the z value of the sample test statistic. (Round your answer to two decimal places.)   Find (or estimate) the P-value. (Round your answer to four decimal places.)   Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??   A) At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B) At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.     C) At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D) At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
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).
95 90 84 107 97 108 82 91
The sample mean is x ≈ 94.3. 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 ? = 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.
 
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
H0: ? = 85; H1: ? ≠ 85; two-tailed
H0: ? = 85; H1: ? < 85; left-tailed    
H0: ? > 85; H1: ? = 85; right-tailed
H0: ? = 85; H1: ? > 85; right-tailed
 
What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
A) The standard normal, since we assume that x has a normal distribution with unknown ?.
B) The Student's t, since we assume that x has a normal distribution with known ?.    
C) The Student's t, since n is large with unknown ?.
D) The standard normal, since we assume that x has a normal distribution with known ?.
 
Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
 
Find (or estimate) the P-value. (Round your answer to four decimal places.)
 
Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
 
A) At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B) At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.    
C) At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D) At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman