Purchase Solution

Z-Scores and Standard Deviation

Not what you're looking for?

Ask Custom Question

Using the sample data collected (see attached), consider the variables (satisfaction with job and satisfaction with the economy) and perform the following:

Determine what scores correspond to the top and bottom 10% and 25% of the data.
Begin with the z-score formula and transform the formula so that you are solving for the individual score (denoted as X in the z-score formula).

Determine the z-score that corresponds to the top 10% and then substitute in your values for the mean and the standard deviation. Repeat the steps for the bottom 10% and then the top and bottom 25%.

Determine what percentage will be between 3 and 7 for both variables (these scores correspond to ratings of somewhat satisfied to somewhat dissatisfied and exclude the extreme ratings of extremely satisfied and extremely dissatisfied).
Start with the z-score formula and calculate the z-score for each value. Explain the process for converting a z-score to a percentile.

Determine what scores correspond to the top and bottom 10% and 25% of the data.

Transform the z-score formula for solving for the individual score.

Determine the z-score that corresponds to the top 10% and substituted in your values for the mean and the standard deviation. Repeat the steps for the bottom 10% and the top and bottom 25%.

Determine what percentage will be between 3 and 7 for both variables.
Compute the z-score for each value. Explained the process for converting a z-score to a percentile.

Attachments
Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation of standard normal distribution or z score by hand calculation. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of standard normal distribution to find the Z-scores using hand calculation.

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Test and Measurements Task

    Z-scores are expressed in terms of standard deviations from their means. As a result, these z-scores have a distribution with a mean of 0 and a standard deviation of 1.

  • Confidence Intervals

    Consider an infinite population with a normal shape and a mean of 250 and standard deviation of 30. a. Compute the z-scores for the following values of X and locate each on the graph. Z-score = (X-mean) / standard deviation.

  • Understanding standard deviation and z score.

    Generally speaking, the percentage of data between two z-scores is equal to the area between the z-scores beneath the normal curve with mean zero and unit standard deviation. Standard deviation and z score are discussed.

  • How to explain the influences on z-scores

    374797 Influences on Z-Scores How to explain the influences on z-scores with constant variables in hypothesis tests with (1) increasing differences between the sample mean and the original population mean, (2) increasing the population standard deviation

  • Z-score, Normal Probability & Percentiles

    Using a mean of 7.55 and a standard deviation of 1.86, convert the following values of X into z-scores: A. X = 10.48, z = B. X = 3.17, z = C. X = 8.41, z = D. X = 5.62, z = 3.

  • Z-Distribution and Normal Distributions

    Once z scores are obtained, a z distribution or standard normal distribution can be used. This is a normal distribution with a mean of zero and and a standard deviation of 1.

  • Standard Deviation of SAT Scores

    227941 Standard Deviation of SAT Scores According to the data from the College Entrance Examination Board, scores on the SAT-I test have a mean of 1017, and Q1 is 880. The scores have a distribution that is approximately normal.

  • Statistics: Analyze Student Exam Scores

    In her section the mean was 72 and the standard deviation was 7. Which one of you did better?

  • Finding the Z Scores for Each X Value

    Find the scores (X value) that corresponds to each of the following z-scores: z = -1.00 z = -0.50 z= 2.00 z = 0.70 z = 1.50 z= - 1.50. For a population with of mean of = 100 and a standard deviation of =10. A.

  • Z-score of sample means

    587181 Z-score of sample means Compute a z statistic for each, assuming the population has a mean of 100 and a standard deviation of 20: Formula is z = (x - μ) / σ a. sample of 43 scores has a mean of 101: - 2.9 b. sample of 60 scores has a mean of

View More Related Solutions