An SRS of size 26 is drawn from a population that has a Normal distribution, the standard error of the mean is 0.7844..
The standard error of the mean, or simply standard error, indicates how much the population mean can differ from the sample mean. It indicates how much the sample mean would change if the survey were repeated with new samples from a single population. It is calculated by dividing the standard deviation by the square root of the sample size.
We have given that,
SRS size , n = 26
The distribution is normal distribution,
Mean, u = 143.5
Standard deviations, sd = 4
standard error of the mean = sd/√n
= 4√26 = 0.7844
Hence, the standard error of mean is 0.7844..
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