Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below.
Statement I:When the selection procedure is biased, taking a large sample will help reduce the bias.
Statement II:In normally distributed data, the chance of individual observed values deviating more than 3 times the standard deviation from the mean is very low.
ABoth Statement I and Statement II are correct
BBoth Statement I and Statement II are incorrect
CStatement I is correct but Statement II is incorrect
DStatement I is incorrect but Statement II is correct ✓ Correct
Correct answer: (D) Statement I is incorrect but Statement II is correct
Explanation
Statement 1 is false because a large sample does not remove selection bias.
Bias built into how cases are chosen persists no matter the sample size.
Only proper random selection can guard against selection bias.
Statement 2 is true about the spread of a normal distribution.
In normal data very few values fall beyond three standard deviations from the mean.
About 99.7 percent of observations lie within three standard deviations.
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