Find z such that 7.1% of the standard normal curve lies to the left of z ?
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (.071) and its Z score.
OR…
http://davidmlane.com/hyperstat/z_table.html
To find the value of z such that 7.1% of the standard normal curve lies to the left of z, we can use a standard normal distribution table or a calculator.
According to the standard normal distribution table, the closest value to 7.1% is 0.0708.
Looking up this value in the table, we find that it corresponds to a z-score of approximately -1.49.
Therefore, z ≈ -1.49 is the value such that 7.1% of the standard normal curve lies to the left of z.
To find the value of z such that 7.1% of the standard normal curve lies to the left of z, you can use a standard normal distribution table or a statistical calculator. The standard normal distribution table provides the cumulative probability up to a certain z-value.
Here is how you can use the standard normal distribution table:
1. First, find the closest probability value in the table that is less than or equal to 7.1%. In this case, the closest value is 0.071.
2. Locate the corresponding z-value in the table. In the row corresponding to the first digit(s) of the probability value (0.07), and the column corresponding to the second digit(s) (0.01), you will find the z-value. In this case, the z-value is approximately -1.44.
Therefore, z is approximately -1.44.
Alternatively, you can use a statistical calculator or software to find the z-value corresponding to a given percentage. These tools allow you to enter the percentage directly and receive the corresponding z-value.
By inputting 7.1% into a statistical calculator or software, it will give you a z-value of approximately -1.44 as well.