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
Algebra.Com
Question 1062014: 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 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.
RELATED QUESTIONS
Please assist with decision rule
Given the following hypotheses:
H0 : μ... (answered by stanbon)
A sample of 80 observations is selected from a normal population. The sample mean is 15,... (answered by Boreal)
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A... (answered by robertb)
Help Please !
A sample of 30 observations is selected from a normal population. The... (answered by Boreal)
Consider H0: μ=72 versus H1: μ>72. A random sample of 16 observations taken... (answered by Boreal)
A stats practitioner wishes to test the following hypothesis H0:μ = 600 against... (answered by stanbon)
Dr Carl is a mathematics and statistics lecturer. He is interested in studying a new... (answered by stanbon)
In city A, it is known that the mean monthly energy usage per household has historically... (answered by stanbon)
Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠... (answered by MathTherapy)