Find the area under the normal distribution curve to the left of z = –1.50.
The link I gave you does all of these. In fact if you have a normal table handy, all your questions are really answered in it.
To find the area under the normal distribution curve to the left of z = -1.50, we can use a standard normal distribution table or a calculator.
If you're using a standard normal distribution table:
1. Look for the row corresponding to the whole number part of -1.50, which is -1.
2. Look for the column corresponding to the first decimal place of -1.50, which is 0.0.
3. The value in the intersection of this row and column gives you the area to the left of z = -1.50. Let's call this value A.
If you're using a calculator:
1. Use the cumulative distribution function (CDF) or cumulative probability function on your calculator.
2. Input the value -1.50 and specify that you want to find the area to the left (or below) that value.
3. The calculator will give you the area directly. Let's call this value A.
In either case, the value A represents the area under the normal distribution curve to the left of z = -1.50.
To find the area under the normal distribution curve to the left of z = -1.50, you need to use a standard normal distribution table or a statistical calculator.
Here's how you can find the answer using a standard normal distribution table:
1. Look for the row that corresponds to the whole number part of -1.50. In this case, it is the row for -1.5.
2. Look for the column that corresponds to the first decimal digit of -1.50. In this case, it is the column for 0.0.
3. The value in the intersection of the row (-1.5) and column (0.0) is the area to the left of z = -1.50. Let's call this value A.
4. The area to the left of z = -1.50 is given by A. However, since z-scores are symmetric about the mean, the area to the right of z = -1.50 is 1 - A.
In this case, using a standard normal distribution table, the value of A is approximately 0.0668. Therefore, the area under the normal distribution curve to the left of z = -1.50 is approximately 0.0668.
Note: If you have access to a statistical calculator, you can also use it to find the area under the normal distribution curve to the left of z = -1.50. Many calculators have built-in functions for this purpose, such as the cumulative distribution function (CDF) for the standard normal distribution.