document.write( "Question 911727: I am stuck on this problem. I believe it is a Z formula, but cannot find the formula to do a Z with a variable \"between\". Here is the problem. \r
\n" ); document.write( "\n" ); document.write( " A normally distributed variable with a mean of 16 minutes and a standard deviation of 4 minutes. what is the probability that a random sample of 25 will yield a mean between 14 and 18 minutes inclusive? What formula did you use?
\n" ); document.write( "Thanks to anyone that can help!
\n" ); document.write( "

Algebra.Com's Answer #553294 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
If you are Using a TI
\n" ); document.write( "P(14 ≤ x ≤ 18) = normalcdf(14,18,16,4)
\n" ); document.write( "Re TY
\n" ); document.write( "z1 = (14-16)/(4/sqrt(25)) = -10/4 = -2.5
\n" ); document.write( "z2 = (18-16)/(4/sqrt(25) )= 10/4 = 2.5
\n" ); document.write( "P(14 ≤ x ≤ 18) = P(z2) - P(z1)= .9938 - .0062
\n" ); document.write( "
\n" ); document.write( "
\n" );