Respuesta :
Answer:
A z-score specifies the number of standard deviations an observation is from the mean.
Step-by-step explanation:
A z-score (aka, a standard score) specifies the number of standard deviations an observation is from the mean.
The formula to compute the z-score is, [tex]Z = \frac{X - \mu}{\sigma}[/tex], where X = value of the random variable, µ = mean, σ = standard deviation.
The random variable X follows a Normal distribution with parameters µ and σ².
(a)
A z-score of 2.2 implies that the score in the first midterm exam is 2.2 standard deviations above the mean.
(b)
A z-score of 0.4 implies that the score in the first midterm exam is 0.4 standard deviations above the mean.
(c)
A z-score of 1.8 implies that the score in the first midterm exam is 1.8 standard deviations above the mean.
(d)
A z-score of 1.0 implies that the score in the first midterm exam is 1.0 standard deviations above the mean.
(e)
A z-score of 0 implies that the score in the first midterm exam is 0 standard deviations above the mean. That is the score in the first midterm exam is same as the mean score.
