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Given the scores on a certain exam are normally distributed with a mean of 75 and...

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Statistics

Given the scores on a certain exam are normally distributed witha mean of 75 and a standard deviation of 5


a. Calculate the z-score for 80. Find the percentage of studentswith scores above 80

b. Calculate the z-score for 60. Find the percentage of studentswith scores below 60.
c. Calculate the z-scores for 70 and 90. Find the percentage ofstudents with scores between 70 and 90.
d. What is the median?
e. What test score value has a Z-score of -2.25?

f. What test score is the 85th percentile?

Answer & Explanation Solved by verified expert
4.3 Ratings (888 Votes)
Let X denote the random variable representing the scores on acertain exam Now we are given thatMoreover the formula for zscore for a    See Answer
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