For each of the following z-scores, sketch a normal distribution and draw a vert
ID: 3260229 • Letter: F
Question
For each of the following z-scores, sketch a normal distribution and draw a vertical line at the location of the z-score. Then, determine whether the body is to the right or the left of the z-score and find the proportion of the distribution located in the body. a. z = 0.25 b. z = 1.75 c. z = 1.50 d. z = 0.40 The distribution of scores on the SAT test is approximately normal with mu = 500 and sigma = 100. a. What proportion of the population have SAT scores above 650? b. What proportion of the population have SAT scores below 540? c. What is the minimum SAT score needed to be in the highest 20% of the population? d. What SAT score separates the top 60% from the rest of the distribution?Explanation / Answer
P(X>650)=1-pnorm(650,500,100)=0.0668072 this proportion have scored more than 650
P(X<540)=pnorm(540,500,100)=0.6554217 this proportion have scored less than 540
qnorm(.8,500,100)=584.1621
therefore required marks is 585. this is the marks below which 80%students are there
qnorm(.4,500,100)=474.6653
so 475 seperates
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