Suppose that you are testing the hypotheses\displaystyle{H}_{{0}}:\mu={11}{v}{s}{H}_{{A}}:\mu>{11}. A sample of size 16 results in a sample mean of 11.5 and a sample standard deviation of 1.6.What is the standard error of the mean?

Ramsey

Ramsey

Answered question

2021-08-23

Suppose that you are testing the hypotheses
H0:μ=11 vs HA:μ>11.
A sample of size 16 results in a sample mean of 11.5 and a sample standard deviation of 1.6.
What is the standard error of the mean?

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-08-24Added 84 answers

The hypotheses is given by Null Hypothesis H0:μ=11.
Alternating Hypothesis HA:μ>11
The sample size n=16, the sample mean x=11.5 and sample standard deviation s=1.6.
By the standard error of the mean we note the following: Let the sample size be n, sample mean mean barx, and sample standard deviation is s then the formula for standard error of the mean is
S.E.(x)=sn
Using the above formula we have the standard error of the mean is
S.E.(x)=sn=1.616=1.64=0.4
Therefore, the standard error of the mean is S.E.(x)=0.4

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