A sample of n=30n=30 data values randomly collected from a normally distributed population has standard deviation s=2.6s=2.6. We wish to test the null hypothesis H0:σ=1.9H0:σ=1.9 against the alternative hypothesis H1:σ≠1.9H1:σ≠1.9 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places.  What are the critical values? Write your answers rounded to 3 decimal places. Lower CV:  Upper CV:  Do we reject the null hypothesis?

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 sample of n=30n=30 data values randomly collected from a normally distributed population has standard deviation s=2.6s=2.6. We wish to test the null hypothesis H0:σ=1.9H0:σ=1.9 against the alternative hypothesis H1:σ≠1.9H1:σ≠1.9 at a significance of α=0.01α=0.01.

What is the value of the test statistic? Write your answer rounded to 3 decimal places. 

What are the critical values? Write your answers rounded to 3 decimal places.
Lower CV:  Upper CV: 

Do we reject the null hypothesis?

  • We reject the null hypothesis.
  • We fail to reject the null hypothesis.
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