SOLUTION: You wish to test the following claim (Ha) at a significance level of &#945;=0.002. Ho:&#956;=57.6 Ha:&#956;<57.6 You believe the population is normally distributed, but you

Algebra ->  Probability-and-statistics -> SOLUTION: You wish to test the following claim (Ha) at a significance level of &#945;=0.002. Ho:&#956;=57.6 Ha:&#956;<57.6 You believe the population is normally distributed, but you      Log On


   



Question 1119965: You wish to test the following claim (Ha) at a significance level of α=0.002.
Ho:μ=57.6
Ha:μ<57.6
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=48.7 and a standard deviation of SD=17.5.
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You wish to test the following claim (Ha) at a significance level of α=0.002.
Ho:μ=57.6
Ha:μ<57.6
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=48.7 and a standard deviation of SD=17.5.
What is the p-value for this sample? (Report answer accurate to four decimal places.)
sample mean = 48.7
z(48.7) = (48.7-57.6)/(17.5/sqrt(24)) = -0.0256
p-value = P(z < -0.0256) = normalcdf(-100,-0.0256) = 0.4897
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Cheers,
Stan H.