Reference no: EM132855094

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1. A dataset has a mean of 40.22 and a standard deviation of 3.61. The dataset is transformed into a z-distribution. What are the mean and standard deviation of the transformed data set?

2. Three students take the same test. The mean is 75, and the standard deviation is 8.

A's raw score is 78.
B's z-score is -.32.
C's raw score is 3.7 raw points above the mean.

Which student had the highest score? (Hint: transform them into scores to compare).

3. You should have the formula for calculating Z to answer these problems. The data are test scores from a chemistry class with 5 students. The data are a "population." The mean is 79.6 and the standard deviation is 11.55. Calculate each student's z-score from the raw scores given. Raw scores:

76
98
80
62
82

a. What is the z-score for the raw score of 76?

b. What is the z-score for the raw score of 98?

c. What is the z-score for the raw score of 80?

d. What is the z-score for the raw score of 62?

e. What is the z-score for the raw score of 82?