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What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What you mean by residual value?
The point lies one unit above the regression line.
What is the z-score of 70.00?
A z-score of 70 would cover 35 standard deviations away from the mean. Note though, that a z-score of just 2.5 already covers 99% of the data. A z-score of 70 is incredibly high, and so is either a mistake, or will cover 100% of the data without fail. If a data point lies outside this, it is definitely an outlier and probably an error.
What is the Z value to the right of the mean Such that 74.5 percent of the total area lies to the left of it?
z = 0.6903
What digit in 234.896 determines its precision?
The precision of a number is determined by its last digit. The true value lies with a half of the place value of this last digit. In the above case it is the 6, which is in the thousandths place. So the true value lies within half-of-one-thousandths of the given number. That is, it lies in the interval [234.8955, 234.8965]. I use round-to-even, which is the default rounding mode used in IEEE 754 standard for computing functions and operators.
