Use the standard normal distribution table to find the indicated probability for -1.95<Z-1.28
-1.95<Z-1.28
Z > -.67
Are you still working with tables?
Do your tables go from negative to positive z values?
Does your table start with a z value of 0 ?
Most statistic courses now use online graphs, tables and charts such as
http://davidmlane.com/normal.html ------ (one of the best)
with our given z value of -.67 , leave the mean at 0 and the sd at 1
click on the above and enter -.67
click on "recalculate" to get .7486
To find the indicated probability for -1.95 < Z < -1.28, we need to use the standard normal distribution table.
The standard normal distribution table provides the probabilities for different values of the standard normal variable Z. Z refers to the number of standard deviations away from the mean a particular value is.
1. Locate -1.28 in the first column and -1.95 in the top row of the standard normal distribution table. These values represent the lower and upper limits of the range we are interested in.
2. Find the corresponding row and column intersection in the table. This intersection provides the probability associated with the range of -1.28 to -1.95.
3. Since the standard normal distribution is symmetric, the probability for -1.95 < Z < -1.28 is the same as the probability for 1.28 < Z < 1.95. Therefore, we need to find the probability for this range.
4. Look up 1.28 in the first column and 1.95 in the top row of the table. Find the intersection of the corresponding row and column, which gives you the probability associated with the range of 1.28 to 1.95.
Keep in mind that the standard normal distribution table provides probabilities for values of the standard normal variable Z up to two decimal places. If you need a more precise probability, you can use statistical software or a calculator that can calculate the area under the standard normal curve.