Question

find the area under the standard normal distribution curve between ( z = 2.37 ) and ( z = 1.84 ). use the standard normal distribution table and enter the answer to 4 decimal places.
the area between the two ( z ) values is

Explanation:

Step1: Find the area for \(z = 2.37\)

Using the standard - normal distribution table, for \(z = 2.37\), the cumulative area \(A_1=\Phi(2.37)\). Looking up in the table, \(\Phi(2.37)=0.9911\)

Step2: Find the area for \(z = 1.84\)

Using the standard - normal distribution table, for \(z = 1.84\), the cumulative area \(A_2=\Phi(1.84)\). Looking up in the table, \(\Phi(1.84)=0.9671\)

Step3: Calculate the area between the two \(z\) - values

The area between \(z = 1.84\) and \(z = 2.37\) is \(A=A_1 - A_2\). Substitute \(A_1 = 0.9911\) and \(A_2=0.9671\) into the formula: \(A=0.9911−0.9671\)

Answer:

\(0.0240\)