A research team is willing to assume that systolic blood pressures in a certain population of males are approximately normally distributed with a standard deviation of 16. A simple random sample of 10 males is drawn from this population and their systolic blood pressure reading taken. At the .05 level of significance, derive the Uniformly Most Powerful Test for testing the hypotheses; Null hypothesis =130 vs alternative vs  hypothesis > 130

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A research team is willing to assume that systolic blood pressures in 
a certain population of males are approximately normally distributed 
with a standard deviation of 16. A simple random sample of 10 males is 
drawn from this population and their systolic blood pressure reading 
taken. At the .05 level of significance, derive the Uniformly Most 
Powerful Test for testing the hypotheses;
 Null hypothesis =130 vs alternative vs  hypothesis > 130

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