in a standard normal distribution, what percentage of observations lie between z = 0.37 and z = 1.65? find…

in a standard normal distribution, what percentage of observations lie between z = 0.37 and z = 1.65? find the z - table here. 30.62% 40.52% 59.48% 69.38%

in a standard normal distribution, what percentage of observations lie between z = 0.37 and z = 1.65? find the z - table here. 30.62% 40.52% 59.48% 69.38%

Answer

Explanation:

Step1: Find area for z = 1.65

Using the z - table, the area to the left of $z = 1.65$ is 0.9505.

Step2: Find area for z = 0.37

Using the z - table, the area to the left of $z = 0.37$ is 0.6443.

Step3: Calculate the area between

Subtract the smaller area from the larger area: $0.9505−0.6443 = 0.3062$.

Step4: Convert to percentage

Multiply by 100: $0.3062\times100 = 30.62%$.

Answer:

30.62%