Is the statement below true or false? Support your answer. The area under the st

Question

Is the statement below true or false? Support your answer. The area under the standard normal curve to the left of z = 5.30 is 1. Choose the correct answer below. A. The statement is false. The total area under the standard normal curve is 1, and there is some area to the right of z = 5.30, so the area to the left of z = 5.30 must be less than 1. B. The statement is true. The total area under the standard normal curve is 1, and it is very unlikely for z to be greater than 5.30, so the area to the left of z = 5.30 must be 1.

Explanation / Answer

If you use a statistical calculator or EXCEL function you will find that the probability to the left of the standard normal curve is 0.999999942

The EXCEL function used for this purpose is =NORM.DIST(5.3,0,1,TRUE).

Hence the statement is true since it is very unliely for z to be greater than 5.30. Hence Option B. is correct.

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