We have to test the null hypothesis that the correlation coefficient p of a bi-variate normal population is 0.2 against the alternative hypothesis that p #0.2. If a random sample of size 11 taken from the population has sample correlation coefficient r = 0.4, what is the value of the standard normal test statistic?

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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We have to test the null hypothesis that the correlation coefficient p of a bi-variate normal population is 0.2 against the alternative
hypothesis that p #0.2 . If a random sample of size 11 taken from the population has sample correlation coefficient r = 0.4, what
is the value of the standard normal test statistic?
Transcribed Image Text:We have to test the null hypothesis that the correlation coefficient p of a bi-variate normal population is 0.2 against the alternative hypothesis that p #0.2 . If a random sample of size 11 taken from the population has sample correlation coefficient r = 0.4, what is the value of the standard normal test statistic?
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