SOLUTION: Given the following hypotheses:
H0 : μ ≤ 10
H1 : μ > 10
A random sample of 10 observations is selected from a normal population. The sample mean was 12 and
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-> SOLUTION: Given the following hypotheses:
H0 : μ ≤ 10
H1 : μ > 10
A random sample of 10 observations is selected from a normal population. The sample mean was 12 and
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A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:
a. State the decision rule. (Round your answer to 3 decimal places.)
Reject H0 if t >
b.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
c. What is your decision regarding the null hypothesis?
H0. There is evidence to conclude that the population mean is greater than 10. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the decision rule will be a t (df=9, 0.95)>1.833. If t is greater than that number reject; if less than or equal to than fail to reject.
t=(12-10)/3/sqrt(10)=2*sqrt(10)/3=2.108
Reject Ho and conclude that the population mean is greater than 10. It is interesting that a two-tailed test would not be significant in this instance.
