Question

8. Define Z score using the scenario "Data Findings 2" as your data reference.

Data Findings 2:

A Z score of 3.5 represents a score that is 3.5 standard deviations above the mean

9. State the proper method required to perform the research and construct the key components of the study using scenario "Data Finding 3".

Data Findings 3:

A team of researchers are interested in determining if the use of hormone replacement therapy caused colon cancer in postmenopausal women. The team identifies a group of women with colon cancer and another group of women without colon cancer as subjects.

Answer 1

A Z score can be defined as a number of standard deviations a score is above or below the mean. The Z scores helps in describing various aspects of the distribution like percentile ranks, percentages of scores between points, etc. The distribution almost always lies between the Z scores of -3 and 3.

• z-score of 1 is 1 standard deviation above the mean.
• score of 2 is 2 standard deviations above the mean.
• score of -1.8 is -1.8 standard deviations below the mean.

score of zero tells you the values is exactly average while a score of +3 tells you that the value is much higher than average.