Solve the following problem:
With the use of z-scores to describe the location of a score within a distribution and to standardize scores from different populations. In addition to that, Explain basic probability rules and relate them to a frequency distribution through the use of z-scores.
There is need to specify how a sampling distribution is different from a population distribution and the relationship between standard deviation and sampling error. Use t-scores to describe the location of scores with a t-distribution.
Q1 A. For a normal distribution that has a mean of 100 and a standard deviation of 8. Determine the Z-score for each of the following X values:
X = 108 Z =
X = 112 Z =
X = 98 Z =
X = 70 Z =
X = 124 Z =
B. Use the information in 1 A to determine the area or probability of the following:
p(x > 108)
p(x < 98)
p(92 < x < 108)
p(84 < x < 116)
p(x < 84)