# t distribution area

**Question description**

a fertility test of a group of women are normally distributed with a mean of 28 and a standard deviation of 4.5

1. what percentage of these women do you expect to have a test between 23 and 26?

I answered this. the answer is .1965

2. what is the probability that a women selected at random have test over 31?

3.what is the 38th percentile test?

4. suppose you are conducting a study and you would like to select subjects from this group pf women whose test is above 75th percentile. what is the minimum test require to be included in your study.

I have the table of t- distribution area

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