use technology to find the probability associated with the
cumulative area to the left of the z score of the adjusted value of x, 5.5
P(z< - 0.5546) =
Im not sure if I need to look a z score table or how to redo this formula. I know the steps except for this. Please help.
To find the probability associated with the cumulative area to the left of a specific z-score, you can use a standard normal distribution table or a calculator.
If you don't have access to a standard normal distribution table, you can use technology like a calculator to find this probability. Here's how you can do it:
1. Open a standard normal distribution calculator or a graphing calculator that can provide the cumulative probability for a given z-score.
2. Enter the z-score, which in this case is -0.5546, into the calculator.
3. Use the calculator to find the cumulative probability associated with the given z-score. The result will give you the probability that the z-score is less than -0.5546.
For example, using a standard normal distribution calculator, the probability P(z < -0.5546) is approximately 0.2892 or 28.92%.
Note: The specific steps may vary depending on the calculator or software you are using, but the general process remains the same.
To find the probability associated with the cumulative area to the left of a specific z-score, you can use technology such as a statistical calculator or Excel. Here's how to find the answer using Excel:
1. Open a new worksheet in Excel and enter the z-score in a cell. In this case, the z-score is -0.5546.
2. In a nearby cell, use the following formula to calculate the probability:
`=NORM.S.DIST(z-score, cumulative)`
The NORM.S.DIST function in Excel calculates the cumulative probability associated with a given z-score.
3. Replace "z-score" in the formula with the cell reference containing the z-score value. For example, if you entered the z-score in cell A1, the formula would be:
`=NORM.S.DIST(A1, cumulative)`
4. Replace "cumulative" in the formula with either TRUE (if you want the cumulative probability) or FALSE (for the probability density function). In this case, we are interested in the cumulative area, so use TRUE.
5. Press Enter, and the cell will display the probability associated with the cumulative area to the left of the given z-score.
By following these steps, you'll be able to find the probability associated with the cumulative area to the left of the adjusted value of x, 5.5.