Concept explainers
The value of standard normal variable z such that 45% of observations are greater than z.
Answer to Problem 2.5CYU
Proportion of observations greater than z=0.13 is 45%. Hence value of z is 0.13.
Explanation of Solution
Proportion of observations from a standard normal variable z which are greater than z are 45%. This means that proportion of observations less than z should be 55% or 0.55. Hence in normal table, we should search for number which is nearer to 0.55. This corresponds to 0.5517 which further corresponds to row heading 0.1 under the column 0.03. Hence z value can be taken as 0.13.
Proportion of observations from a standard
The area under standard normal curve is drawn using Desmos software and shaded. The area under normal curve is the shaded region to the left of 0.13 in the graph.
Conclusion: Proportion of observations greater than z=0.13 is 45%. Hence value of z is 0.13
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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