What is the value of the mean

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(a) A cut-off score of 85 has been established for a sample of scores in which the mean is 65. If the corresponding z-score is 2.5 and the scores are normally distributed, what is the standard deviation?

(b) The standard deviation of a normal distribution is 12 and 95% of the values are greater than 6. What is the value of the mean?

(c) The mean of a normal distribution is 132, and only 10% of the values are greater than 155. What is the standard deviation?

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