Question

Find area under standard curve between z=1.5 z=2.5

Answer 1

To find the area under the standard curve between z=1.5 and z=2.5, subtract the area to the left of z=1.5 from the area to the left of z=2.5 using a Z-table or statistical tool.

Step-by-step explanation:

To find the area under the standard curve between z=1.5 and z=2.5, we can use a Z-table, which represents the cumulative area to the left of a given z-score. For z=1.5, the area to the left is 0.9332, and for z=2.5, we would need to consult the Z-table or use a statistical tool to obtain the corresponding area. Let's assume this area is A. The area between z=1.5 and z=2.5 is the difference between the two areas, which is A - 0.9332.

For instance, if the area to the left of z=2.5 was found to be 0.9938, the area under the curve between z=1.5 and z=2.5 would be 0.9938 - 0.9332, which equals 0.0606. This gives you the proportion of the data that lies between those two z-scores in the standard normal distribution.

Answer 2

Step-by-step explanation:

Standard Normal Probability table for Z scores you find the following probabilities by looking up Z=2.5 and Z=-1.5:P(Z< 2.5) = .9938P(Z< -1.5) = .0668 the area between the two we subtract the smaller from the larger:P(Z< 2.5) - P(Z< -1.5) = = .9938 - .0668 = .9270