SOLUTION: You wish to test the claim that μ>33 at a level of significance of α=0.05 and are given sample statistics n=50. x̄=33.3. Assume the population standard deviation is

Algebra ->  Probability-and-statistics -> SOLUTION: You wish to test the claim that μ>33 at a level of significance of α=0.05 and are given sample statistics n=50. x̄=33.3. Assume the population standard deviation is       Log On


   

Question 1026508: You wish to test the claim that μ>33 at a level of significance of α=0.05 and are given sample statistics n=50. x̄=33.3. Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The value of of z (population-based)=(x-mean)/sigma/sqrt(sd)
That is (33.3-33)*sqrt(50)/1.2; I inverted the denominator, putting the radical in the numerator.
z=0.3*sqrt(50)/1.2=1.7677.
To four decimal places it is at 0.9615
the p-value is 0.04, since this is a one-way test. While not asked for in the question, this would reject the null hypothesis that the mean is not greater than 33 at the 5% level.