why Table A in Appendix D is not useful for using z scores to calculate the area
ID: 3127054 • Letter: W
Question
why Table A in Appendix D is not useful for using z scores to calculate the area under the curve of a skewed distribution. Can you use Table A to calculate the area under the curve for any bell-shaped curve (including those that are not normal)? Why or why not?
table A Areas under the normal curve 8 Mean Mean Column A gives the positive Colwmn B gives the area between the mean andz. Since the curve is symmetrical, areas for negative z scores are the same as for posi 0.11 Cofum n C gives the area that is (Continued)Explanation / Answer
The normal distribution table can't be used to determine the area under the curve of a skewed distribution because a skewed distribution is not symmetric in nature whereas a normal distribution is symmetric in nature.
Also, the z-scores indicate the area under the curve for a standard normal distribution only as they have been calculated using the pdf of a standard normal distribution and hence the numbers would be different for any curve that does not follow the same probability distribution function.
Hence the table can't be used for any other bell shaped curve as well.
( Note: However, for other approximately bell shaped symmetric curves, the given table might be a good approximation if nothing else is available)
Hope this helps.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.