Find the z-score for the standard normal distribution where:

Area = 0.95 to the left of z

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Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.

You are looking for .95 in the larger portion.

To find the z-score for a given area in the left tail of the standard normal distribution, you need to use a standard normal distribution table or a calculator that can provide the area corresponding to a given z-score.

Here's how you can find the z-score for an area of 0.95 to the left of z using a standard normal distribution table:

1. Look up the closest area that is less than or equal to 0.95 in the body of the table. In this case, the closest area that is less than or equal to 0.95 is 0.9495.

2. Find the corresponding z-score for the area 0.9495 in the table. The z-score corresponding to this area is 1.645.

Therefore, the z-score for an area of 0.95 to the left of z is approximately 1.645.

If you're using a calculator that provides the area corresponding to a given z-score, you can simply input the desired area (0.95) and it will give you the z-score directly.

Keep in mind that the standard normal distribution table provides the area to the left of a given z-score. If you need the area to the right of a z-score, you can subtract the given area from 1.

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