QuestionFind the -score that has of the distribution's area to its right.
The z -score is 0.07
(Round to two decimal places as needed.)
Studdy Solution
STEP 1
1. We are working with a standard normal distribution, which is symmetric about a mean of 0 and has a standard deviation of 1.
2. The -score represents the number of standard deviations a data point is from the mean.
3. We need to find the -score such that 67.4% of the distribution's area lies to its right.
STEP 2
1. Determine the cumulative probability to the left of the desired -score.
2. Use a standard normal distribution table or calculator to find the corresponding -score.
STEP 3
Calculate the cumulative probability to the left of the desired -score. Since 67.4% of the distribution's area is to the right, the area to the left is:
STEP 4
Use a standard normal distribution table or calculator to find the -score corresponding to a cumulative probability of 0.326.
The -score that corresponds to a cumulative probability of 0.326 is approximately:
The -score is:
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