SOLUTION: H0: µ ≤ 10
H1: µ > 10
The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significan
Algebra.Com
Question 291590: H0: µ ≤ 10
H1: µ > 10
The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
H0: µ ≤ 10
H1: µ > 10
The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.
---------------------
t(12) = (12-10)/[3/sqrt(12)] = 2.3094...
---
p-value: P(t> 2.3094 when df=11) = 0.02067
---
Whoa! That p-value is only 67/1000th above the significance mark.
---
Conclusion: Since the p-value is greater than 2%, fail to reject Ho.
----
Also, you should do more testing.
===============
Cheers,
Stan H.
RELATED QUESTIONS
Please assist with decision rule
Given the following hypotheses:
H0 : μ... (answered by stanbon)
A sample of 36 observations is selected from a normal population. The sample mean is 12,... (answered by Theo)
Given the following hypotheses:
H0 : μ ≤ 10
H1 : μ > 10
A random (answered by Boreal)
The following information is available.
Ho: m < 10
H1: m > 10
The sample mean is 12... (answered by jim_thompson5910)
A sample of 36 observations is selected from a normal population. The sample mean is 12,... (answered by reviewermath)
A sample of 80 observations is selected from a normal population. The sample mean is 15,... (answered by Boreal)
Help Please !
A sample of 30 observations is selected from a normal population. The... (answered by Boreal)
The following information is available.
H0: μ ≤ 25
H1: μ > 25
The... (answered by ewatrrr)
A sample mean, sample standard deviation, and sample size are given. Perform the required (answered by Boreal)