Question 8 of 10 This question: 1 point(s) possible Find the Z-score such that the area under the standard normal curve to the right is 0.29 . 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 0.29 is $\square$. (Round to two decimal places as needed.)
Solution
Step 1 ：We are asked to find the Z-score such that the area under the standard normal curve to the right is 0.29. This means that we are looking for the Z-score where 29% of the data lies to the right of it.
Step 2 ：To find this, we can use 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. The inverse of the CDF, also known as the quantile function, gives the value below which a given percentage of the data falls.
Step 3 ：However, this function gives the value below which a given percentage of the data falls, so we need to subtract the given percentage from 1 to find the Z-score where the given percentage of the data lies to the right.
Step 4 ：After executing this code, we will get the Z-score that corresponds to a right tail area of 0.29.
Step 5 ：Final Answer: The approximate Z-score that corresponds to a right tail area of 0.29 is \(\boxed{0.55}\). (Rounded to two decimal places as needed.)
