According to the solving the standard error of the given statement :
= 1.7172%.
The standard error of the mean, or just standard error, indicates how much the population means as well as the sample mean will likely differ from one another. It would be conceivable to figure out how much the sample mean would alter if a study were to be redone using new samples taken from a single population.
The standard error is calculated by taking the standard deviation and subtracting the square root of the sample size. It offers the accuracy of a sample mean by accounting for the variation of the sample means between samples.
For 99% confidence,
z = 2.5758
Standard error,
SE = sigma/sqrt
n = 10/sqrt 225
= 10/15
= 2/3
Maximum error of the estimated mean = z * SE
= 2.5758 * (2/3)
= 1.7172
According to the solving the Standard error of the given statement :
= 1.7172%.
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