Assume normal distributions in the following exercises. Find the value of z. The probability that a score is to the left of z is 0.96.

manudyent7

manudyent7

Answered question

2022-09-17

Assume normal distributions in the following exercises. Find the value of z. The probability that a score is to the left of z is 0.96.

Answer & Explanation

tranciarebt

tranciarebt

Beginner2022-09-18Added 10 answers

The number of standard deviations between an observation and the mean is represented by the z-score.Whatever scale is used for æ on a normal curve, we can associate a value of z with each value of a.
We use z to find the area under the normal curve between two scores. T do so, we use the standard normal table. The table gives area between the mean and a z-score for selected z-scores. So as 96% of the result is to the left of z, and the normal distribution is symmetric with the area below the normal curve 1, is 0.5 on the left and right sides of the mean. This actually means that between z and the mean is 46%, so the area between z and the mean is 0.46. Using the table of standard normal distribution we can see that the area A = 0.46 corresponds to z= 1.76.

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