Find the area under the standard normal curve that lies between the following: Z = 1.15 and Z = 2.51.
Question
Find the area under the standard normal curve that lies between the following:
Z = 1.15 and Z = 2.51.
Solution
To find the area under the standard normal curve between Z = 1.15 and Z = 2.51, you need to use the Z-table or standard normal distribution table.
-
Look up the values in the Z-table for Z = 1.15 and Z = 2.51. The Z-table gives you the area to the left of these Z-scores.
-
The value for Z = 1.15 is approximately 0.8749 and for Z = 2.51 is approximately 0.9940.
-
Subtract the value for Z = 1.15 from the value for Z = 2.51 to find the area between these two Z-scores.
So, 0.9940 - 0.8749 = 0.1191.
Therefore, the area under the standard normal curve that lies between Z = 1.15 and Z = 2.51 is approximately 0.1191 or 11.91%.
Similar Questions
Find the area under the standard normal curve that lies between the following: Z = -1.22 and Z = 0.
Find the Z-value with an area of 0.7134 under the standard normal curve to its right.
Determine the area under the standard normal curve that lies between -1.98 to +0.26 (z value).Group of answer choices0.578720.397430.421280.023852
Find the area of the standard normal distribution that lies to the right of Z = 1.62.
Using the standard normal curve, the area between z = 0 and z = 3.50 is about 0.50.Group of answer choicesTrueFalse
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.