Questions: Find the z-score that has 12.1% of the distribution's area to its left.
The z-score is . (Round to two decimal places as needed.)
Transcript text: Find the $z$-score that has $12.1 \%$ of the distribution's area to its left.
The $z$-score is $\square$ $\square$.
(Round to two decimal places as needed.)
Solution
Solution Steps
Step 1: Given the area to the left $p = 0.121$
Step 2: Use the inverse standard normal distribution function to find $z$
Calculation: $z = \Phi^-1(0.121) = -1.17$
Final Answer: The $z$-score corresponding to a left area of 0.121 is -1.17.