Stat Mon\&Wed1:30 pm-2:45pm D2430E
7 test
Question 9 of 15
Find the Z-score such that the area under the standard normal curve to the right is 0.11 .
Click the icon to view a table of areas under the normal curve.
The approximate Z-score that corresponds to a right tail area of 0.11 is $\square$.
(Round to two decimal places as needed.)
Answer
Rounding to two decimal places as needed, the final answer is \(\boxed{1.23}\).
Step 1 ：We are asked to find the Z-score such that the area under the standard normal curve to the right is 0.11. This means that we are looking for the Z-score where 11% of the data lies to the right of it.
Step 2 ：The Z-score can be found using the inverse of the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a certain value.
Step 3 ：Therefore, to find the Z-score for the area to the right, we need to use 1 - 0.11 = 0.89 as the input to the inverse CDF.
Step 4 ：Using the inverse CDF, we find that the Z-score is approximately 1.2265281200366105.
Step 5 ：Rounding to two decimal places as needed, the final answer is \(\boxed{1.23}\).
