Question

question 7 of 20
which of the following is not true in normalcdf(-1.61, 9e99)? select all that apply.
select the correct response(s):
the shaded region or the area under the curve starts from the extreme left and passes over the mean.
the lower bound is a very small number.
my answer is not listed among the given choices.
the lower bound is somewhere on the first half of the standard normal curve.
the shaded region or the area under the curve is more than 0.5.
the area under the curve is less than 1.
the upper bound is a very small number.
the shaded region or the area under the curve ends at the extreme right.
the shaded region or the area under the curve starts somewhere in the middle of the first half of the curve.
the z value lies on the left side of the mean.

Explanation:

1. For normalcdf(-1.61, 9E99) on a standard normal distribution:

• The lower bound is -1.61 (not a very small number; it is a defined z-score on the left side of the mean, so the claim "The lower bound is a very small number" is false).
• The upper bound 9E99 represents a value far to the right of the mean (effectively the extreme right tail, not a very small number, so the claim "The upper bound is a very small number" is false).

1. All other statements are true:

• The region starts at z=-1.61 (left of the mean, first half of the curve, middle of the left half) and goes to the extreme right, so it crosses the mean, has an area >0.5 and <1, with the z-value on the left of the mean.

Answer:

The lower bound is a very small number.
The upper bound is a very small number.