A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals.  In an experiment  he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood  glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose  {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, unmanipulated rats he knows that the mean (mu)  blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12.   Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.  Find the critical value:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals.  In an experiment 

he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood 

glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose

 {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, unmanipulated rats he knows that the mean (mu) 

blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12.  

Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis. 

Find the critical value:

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