(solution) (a)A cut-off score of 85 has been established for a sample of

(solution) (a)A cut-off score of 85 has been established for a sample of

(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?

(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…