Determining sample mean using standard deviation

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Reference no: EM1311425

1) Distribution of scores on SAT is approximately normal with the mean of 500 and the standard deviation of σ = 100. For population of students who have taken SAT.

a) What percentage has SAT scores greater than 550?

b) What is the minimum SAT score required to be in the highest 10% of population?

c) If state college only accepts students from top 60% of the SAT distribution, determine the minimum SAT score required to be accepted?

2) For a sample with standard deviation of 10, a score of X = 44 corresponds to z-score of 0.50. Based on this info, determine the sample mean?

3) Which of the given exam scores must lead to better grade? Describe your answer.

a) A score of X = 55 on an exam which has a mean of 60 and standard deviation of 5.

b) A score of X = 40 on an exam which has a mean of 50 and standard deviation of 20.

Reference no: EM1311425

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