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.

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.

1.) Test one: mean is 80 and standard deviation is 9. Mark scores 91
Test two: mean is 77 and standard deviation is 6. Mark score 87
Find the percentile for all
Which test Mark did better? Why?
2.) What is the the standard deviation for IQ tests? If someone's IQ is 140, how many standard deviation is it above the

Comparing Scores. 3 students take equivalent test of a sense of humor and, after the laughter dies down, their scores are calculated which score is in the middle of the other two?
1. A score of 144 on a test with a mean of 128 and a standard deviation of 34?
2. A score of 90 on a test with a mean of 86 and a standard de

Why it is possible to easily convert standard scores from one scale to another. When using these score listed below the mean and standard deviation of each of the transformed scores and the theoretical rationale for their equivalency for an example.
Person A z-score of 1.0
CEEB Score = 600
IQ Score = 115
AP Score = 82%

If scores are normally distributed with a mean of 50 and a standard deviation of 10, what percent of the scores is:
(a) below 50?
(b) between 30 and 55?
(c) greater than 70?

On an exam with a mean = 70, you have a score of x =75. which of the following values for the standard deviation would give you the highest position within the class?
1. population standard deviation = 5
2. population standard deviation = 10
3. cannot determine from the information given
4. population standard deviation= 1

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. Find the standard deviation, then use that result to find P99.

Please answer the following question:
- Explain thoroughly, the concept of standard deviation.
- How does range affect standard deviation?
- What is a z-score, and how do z-scores relate to the mean of a set of data?
- Generally speaking, how is the percentage of data which lies in between two z-scores calculated?

A distribution with a mean of 38 and a standdeviation of 20 is being transformed into a standardized distribution with mean of 50 and standard deviation of 10 find the new standardized score for each of the following scores from the original population.
X= 48
X= 30
X= 40
X= 18