What is meant by the z score. Where does that come from

What is meant by the z score. Where does that come from?

Solution Preview

Hi, I will be happy to explain the z-score.

Normally, to understand phenomena, it would be best to survey every single person in the group. This would be your population. For example, it would be best to ask every single student in the university to partake in your research.

This in theory is a great idea, but in reality, it is impractical. Firstly, your sample size would be huge; it would be very time consuming to ask every student to participate and would cost a lot of resources.

Therefore, the next best thing would be to have a few people in the population partake in the research - this would be your sample.

When selecting your sample for the study, you have to make sure that you have a random assortment of people - you need to randomly select people to participate in your sample. If you have this random selection, you can ...

Solution Summary

This posting looks at the z-score, it breaks it down by looking at populations and samples and the bell curve. It also provides a real world example that breaks down the z-score.

... The only general statement that I could make about z-scores is this: if a raw score is less than the overall mean then its z-score will be a negative number ...

... for M = 89 for a sample of n = 25 scores. ... step by step method for computing probabilities based on Z score. ... sample selected from a population with a mean of ...

... The score of Paul is one standard deviation below the mean. The solution provides step by step method for the calculation of Z score and t score . ...

... use the z-score halfway between the corresponding z- scores. If convenient, use the technology to find the z-score. ... this part of question above and you meant 2 ...

... found in part (a)]? c. Convert McKinley's height to az score. ... to be those that convert to z scores between -2 ... between McKinley's height and the mean height of ...

... A z score is the result of dividing the amount that a raw score differs from the mean of the distribution by the standard deviation. So, scores below the mean...

... b. A sample mean greater than M = 84 for a sample of n =16 scores. 5. The value of the z score that is obtained for a hypothesis test is influences by several ...

... of scores between the mean and, say, a Z of +2.38 is exactly the same as the percentage of scores between the mean and a Z of 2.38. The z-score is computed ...

... Raw X Value Mean SD z-score Prop./Prob ... 11.5 14 1.5 Summary Which of the above raw score/z-values (a ... of the time (ie, p < .05) within its distribution of scores? ...