I have no idea on how to answer this question...
"Use technology or a standard normal distribution table to find the area to the left of z=1.58.
Do I plug in 1.58 in my calculator to find the answer?
To find the area to the left of z = 1.58 using technology, you have a couple of options. You can either use a statistical calculator or use a standard normal distribution table.
If you're using a calculator, you can use the normal cumulative distribution function (CDF) to find the area to the left of a specific z-score. However, the specific steps may vary depending on your calculator model. Here's a general approach:
1. Open your calculator and find the normal distribution function or normal CDF function. It is typically denoted by "NORMSDIST" or "normalcdf" or a similar name.
2. Enter the z-score 1.58 as the input to the function.
3. Make sure the function calculates the probability from the left tail by specifying the interval as negative infinity to the z-score.
4. Press the "Enter" button or execute the calculation.
5. The calculator will provide you with the area to the left of z = 1.58, which represents the probability.
On the other hand, if you're using a standard normal distribution table, follow these steps:
1. Locate the z-score column in the table, typically listed in increments of 0.01 or 0.1.
2. Find the row that corresponds to the first digit(s) of your z-score (1.5 in this case).
3. In this row, find the second digit of your z-score (0.08 in this case). The intersection of the row and column will give you the area to the left of the z-score.
4. The table provides the decimal value of the area. You may need to convert this value to a percentage by multiplying by 100 to obtain the probability.
Remember, technology and standard normal distribution tables provide an estimate rather than an exact value due to rounding in tables and the degree of precision used in calculators.