# Z-score & Normal Probability

I am new at a job and I have been given instructions that focused on Population and Sampling Distributions

I need support in proving that 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, I also need to 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.

I can use either of the following materials as guide or other materials

Grove, S. (2007). Statistics for health care research: a practical workbook. (1st ed.). St. Louis, MO: Elsevier. ISBN-13: 9781416002260 (Includes only Exercises 16, 29, 31, 36, 27 and 40)

Burns, N., & Grove, S. (2011). Understanding nursing research: Building an evidence-based practice. (5th ed.). St. Louis, MO: Elsevier. ISBN-13: 9781437707502 (Includes only chapters 9 and 11)

My instructions were to provide solutions using the context materials in exercise 29

1) I need help in solving the problems that may be faced at work in relation toExercise 29 in Statistics for health care research: a practical workbook

2) I need to complete the study questions about the reading and check my solutions to the study questions.

3) Afterwards, I need to copy and paste the Exercise 29: Questions in page 224 into a word document.

4) The Word's equation editor has to be used, etc., and provide a short written description as to how the final result is obtained.

Population and Sampling Distribution Excel Worksheet

1) Please check the Population and Sampling Distribution Excel Worksheet: AATACHED

2) Finally, I need all my solutions to the questions on the Excel document.

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#### Solution Summary

The solution provides step by step method for the calculation of Z score and probability using the Z score. Formula for the calculation and Interpretations of the results are also included.