the scores on a test are normally distributed with a mean of 140 and a standard deviation of 28. what is the…

the scores on a test are normally distributed with a mean of 140 and a standard deviation of 28. what is the score that is 1.5 standard deviations above the mean? the score is

the scores on a test are normally distributed with a mean of 140 and a standard deviation of 28. what is the score that is 1.5 standard deviations above the mean? the score is

Answer

Explanation:

Step1: Calculate the value of 1.5 standard deviations

The standard deviation is ( \sigma = 28 ). The value of 1.5 standard deviations is ( 1.5\times\sigma). [1.5\times28 = 42]

Step2: Find the score that is 1.5 standard deviations above the mean

The mean is ( \mu=140 ). The score ( x) that is ( k = 1.5) standard deviations above the mean is given by the formula ( x=\mu + k\sigma). [x=140+42] [x = 182]

Answer:

182