Question

which of the following percentages accurately estimates the area under a normal curve between a z - score of - 0.11 and 2.43? (1 point)
84.38 percent
88.25 percent
43.82 percent
153.83 percent

Explanation:

Step1: Find the cumulative probability for \(z = - 0.11\)

Using the standard normal table (or a calculator with a normal - distribution function), the cumulative probability \(P(Z\leq - 0.11)\) is \(0.4562\).

Step2: Find the cumulative probability for \(z = 2.43\)

Using the standard normal table (or a calculator with a normal - distribution function), the cumulative probability \(P(Z\leq2.43)\) is \(0.9925\).

Step3: Calculate the area between \(z=-0.11\) and \(z = 2.43\)

The area \(A\) between two \(z\) - scores \(z_1\) and \(z_2\) (\(z_1Substitute \(z_1=-0.11\) and \(z_2 = 2.43\) into the formula: \(A = 0.9925-0.4562=0.5363\).

Answer:

\(53.63\) percent