Question

question 32 points 2

assume that \\(z\\) scores are normally distributed with a mean 0 and a standard deviation of 1. if \\(p(z \text{ greater than } -a) = 0.9798\\), find \\(a\\).

2.05

1.96

Explanation:

Set up the probability equation

Using the Standard Normal Distribution knowledge point

$$ P(Z > -a) = 0.9798 $$

Apply symmetry properties of the normal curve

Using the Standard Normal Distribution knowledge point

$$ P(Z < a) = P(Z > -a) = 0.9798 $$

Find the z-score from the probability table

Using the Standard Normal Table knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) 2.05 (Correct answer)
• (B) 1.96