1. Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find:
(a) the z-score
(b) percentile rank
(c) t-score
(d) SAT score
(e) stanine score

2. Sammy Slicko bets that he can flip a coin and come up heads every time. At what point in the coin toss (5 in a row, 6 in a row, or 7 in a row), can we present a case that the coin is rigged?

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Use has been made of information at http://edtech.kennesaw.edu/dataanalysis/explaintestscores.htm for answering the questions

1. Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find:

(a) the z-score

Raw score=x= 75
Mean=M= 60
Standard deviation =s= 12
z=(x-M)/s= 1.25 =(75-60) / 12

Answer: 1.25

(b) percentile rank

"A percentile score indicates the percentage of people an individual did better than in a reference group. Example: A person scoring at the 84th percentile did better than 84% of those in the norming or reference group.

"

z= 1.25
Probability value corresponding to Z = 1.25 = 0.8944 0r 89.44%

Percentile ...

Solution Summary

Standardized Scores (z-score, percentile rank, t-score, SAT score, stanine score) are calculated, given mean, standard deviation and raw score.

How does a researcher determine the meaning of a score on a norm-referenced test such as an IQ test?
Why are raw scores transformed to standardizedscores, such as z-scores, in order to interpret those raw scores?
How do these standardizedscores help researchers to compare the scores on two different tests with different me

A distribution with a mean of 38 and a stand deviation 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

Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find
(a) the z-score,
(b) percentile rank,
(c) t-score,
(d) SAT score and
(e) Stanine score
Discuss why there are so many kinds of standardizedscores.

A population of scores with µ = 73 and sigma = 6 is standardized to create a new population with µ = 50 and sigma = 10. What is the new value for each of the following scores from the original population? Scores: 67, 70, 79, 82.
X = 67 --> z =_____ --> X =_____
X = 70 --> z =_____ --> X =_____
X = 79 --> z =

The distribution of scores on a standardized aptitude test is approximately normal with a mean of 500 and a standard deviation of 105 . What is the minimum score needed to be in the top 25% on this test? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

A) Norms- what are they? What should you consider when comparing a client's score with the norms?
b) Age and grade equivalent- norms and their limitations.
c) Raw score, standardizedscores, and percentile scores
d) Local versus national norms
e) Correlation

I find this question really difficult to answer and I need help formulating a response.
Some IQ tests are standardized to a normal model with a mean of 100 and a standard deviation of 16.
a. Draw a model for these IQ scores, clearly label it , showing what the 65-95-99.7 rule predicts about the score.
b. In what interv

The distribution of scores on a standardized aptitude test is approximately normal with a mean of 520 and a standard deviation of 100. What is the minimum score needed to be in the top 20% on this test? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

Please explain how I set up and solve this problem:
For each of the populations would a score of x= 50 be considered a central score (near the middle of the distribution) or an extreme score (far out of the tail of the distribution ) is this set up x-u/o?
u=45 o= 10
u=45 o= 2
u= 90 o= 20
u= 60 o=20
If i have a proble

You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because o