<PRE><B>Question 1120470</B>
a) z-score for the 95% is 1.64
:
1.64 = ( X - 63.7 ) / 2.73
:
X - 63.7 = 1.64 * 2.73 = 4.4772
:
X = 63.7 + 4.4772 = 68.1772 approximately 68.2 inches
:
b) z-score for 25% is -0.68
:
-0.68 = ( X - 63.7 ) / 2.73
:
X - 63.7 = -0.68 * 2.73 = -1.8564
:
X = 63.7 - 1.85664 = 61.8436 approximately 61.8 inches
:
</PRE>