Using the standard normal distribution tables, the area under the standard normal curve corresponding to Z > –2.62 is
a. 0.0044.
b. 0.0047.
c. 0.9953.
d. 0.9956.
The answer is D
How do i find the answer on the Table C or just in general?
Look up that Z score in a table in the back of your statistics text called something like "areas under the normal distribution". Use the value under the larger portion.
I hope this helps. Thanks for asking.
To find the area under the standard normal curve corresponding to Z > -2.62 using the standard normal distribution table (Table C), you can follow these steps:
1. Locate the absolute value of -2.62 in the leftmost column of the table. In this case, it is 2.6.
2. Move across the row until you find the column labeled 0.02 (which corresponds to the 0.02 area in the tail).
3. The value in this cell is 0.9955, which represents the area to the left of -2.62.
4. Since we are interested in the area to the right of -2.62 (Z > -2.62), subtract the value obtained from 1.
1 - 0.9955 = 0.0045
So, the area under the standard normal curve corresponding to Z > -2.62 is approximately 0.0045.
The closest option to this value is option (d) 0.9956.
To find the area under the standard normal curve corresponding to Z > -2.62, you can follow these steps using the standard normal distribution table:
1. Locate the absolute value of -2.62 in the leftmost column of the table. In this case, it will be 2.62.
2. Move across the row until you find the column that matches the decimal part of 2.62. In this case, it will be 0.02.
3. The intersection of the row and column from step 2 will give you the area to the left of Z. The area to the left of -2.62 is 0.9953.
4. Since we are interested in the area to the right of -2.62 (Z > -2.62), subtract the area obtained in step 3 from 1.
1 - 0.9953 = 0.0047
Therefore, the area under the standard normal curve corresponding to Z > -2.62 is approximately 0.0047, so the correct answer is option b.