You wish to test the following claim ( left(H_{a} ight) ) at a significance level of ( alpha=0.05 ). [ egin{array}{l} H_{o}: mu=84.9 \ H_{a}: mu eq 84.9 end{array} ] You believe the population is normally distributed and you know the standard deviation is ( sigma=9.7 ). You obtain a sample mean of ( M=87.1 ) for a sample of size ( n=27 ). What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic ( = ) ( square ) What is the ( p )-value for this sample? (Report answer accurate to four decimal places.) p-value = ( square ) The p-value is... less than (or equal to) ( alpha ) greater than ( alpha )
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- Null hypothesis (\(H_0\)): \(\mu = 84.9\) - Alternative hypothesis (\(H_a\)): \(\mu \neq 84.9\) - Significance level (\(\alpha\)): 0.05 - Population standard deviation (\(\sigma\)): 9.7 - Sample mean (\(M\)): 87.1 - Sample size (\(n\)): 27 Show more…
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