Question

Question #6f7ed

Answer 1

Patricia - first "normalize" the data, then use a Standard Normal Table to find t.

Explanation:

`P(25.2 < x < t) = P[(35.2-35.2)/4.7< z< (t-35.2)/4.7]= 0.148`

`= P[0< z< (t-35.2)/4.7]= 0.148`

Now, look up in a Standard Normal Table the area under the curve from 0 to z such that the area is equal to 0.148.

z = 0.380

Now, solve for t:

`(t-35.2)/4.7 = 0.380`

`t = 37.0`

Source: http://www.mathsisfun.com/data/standard-normal-distribution-table.html

Hope that helped