Question

Please answer each of the following questions. Also, INTERPRET your answers.

1. A state department of corrections has a policy whereby it accepts as correctional officers only those who score in the top 5 % of a qualifying exam.

The mean of this test is 80.
Standard deviation is 10.

Would a person with a raw score of 95 be accepted? (Calculate a Z score)

2. Given a normal distribution of raw scores with a mean of 60 and a standard deviation of 10, what proportion of cases fall:

a) between a raw score of 40 and 80?
b) between a raw score of 45 and 50?

3. Find the z-score corresponding to a raw score of 50 from a normal distribution with mean 30 and standard deviation 10

4. For a normal distribution where the mean is 50 and the standard deviation is 8, what is the area : Between the scores of 30 and 65?

5. Assume that the distribution of a college entrance exam is normal with a mean of 500 and a standard deviation of 100. For each score below, find the equivalent Z score, the percentage of the area above the score, and the percentage of the area below the score.

Score                            Z score                   % Area Above         % Area Below

a) 375
b) 437

Solution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Statistics Questions: Z Score

This is only a preview of the solution. Please use the purchase button to see the entire solution

Assisting Tutor

Related Homework Solutions

Applied Statistics Problems
Homework Solution
$40.00
Applied Statistics
Statements
Problems
Research
Analysis
Study Participants
Data Sets
Data Gathering Methods
Variables
Cholesterol Levels
BMI
Obesity
SPSS
Significance
Functions
Tables
Descriptive Statistics
Homework Solution
$13.00
Mathematics
Statistics
Measure Volume
Mass
Samples
Data
Standard Deviation
Density
Percentage Error
Experimental Value
Accepted Value
Statistics Questions
Homework Solution
$18.00
Statistics
Mathematics
Random Samples
College Classes
GPA
Mean
Standard Deviation
Null Hypothesis
Alternative Hypothesis
Confidence Intervals
P-Values
Degrees Of Freedom
Functions
Applied Statistics Questions
Homework Solution
$43.00
Statistics
Mathematics
Research
Study
Score
Two-Tailed Test
Variance
Hypothesis Test
Sample Distribution
Standard Deviation
Report
Sketch
Applied Statistics
Homework Solution
$25.00
Mathematics
Statistics
SIDS
Mean
Alternative Hypothesis
Level of Significance
Standard Deviation
Birth Weights
Two-Sided Test
Applied Linear Regression Discussion (830 words)
Homework Solution
$88.00
Statistics
Linear Regression
Mathematics
Clinical Research
Blood Pressure
Children
Adolescents
Samples
Relationships
Significance
Variables
Equations
Calculations
BMI
Differences
Factors
Potassium Intake
Impact
Public Health Relevance
Get help from a qualified tutor
Live Chats