SOLUTION: For the following hypothesis test: H0: μ ≤ 70 HA: μ > 70 with n = 20, x = 71.2, s = 6.9, and a = 0.1, state a. the decision rule in terms of the critical value of the test

Question 1175557: For the following hypothesis test:
H0: μ ≤ 70
HA: μ > 70
with n = 20, x = 71.2, s = 6.9, and a = 0.1, state
a. the decision rule in terms of the critical value of the test statistic [2]
b. the calculated value of the test statistic [2]
c. the conclusion [1]

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
One way test, reject if t0.90, df=19)>1.729
value is t=(71.2-70)/6.9/sqrt(20) note: x bar =71.2 to be more precise.
=1.2*sqrt(20)/6.9=0.7778
fail to reject Ho; p-value=0.22
insufficient evidence to assume the mean is > 70.
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