Answered: On a standardized exam, the scores are…

On a standardized exam, the scores are normally distributed with a mean of 550 and a standard deviation of 40. Find the z-score of a person who scored 538 on the exam

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

Q: The scores on the board are Normally distributed with a mean of 67 and a standard deviation of 13.…

A: From the provided information,X~N (67, 13)The bottom 5% of students will fail.

Q: The mean score on a standardized test is 540 with a standard deviation of 55. What percent of…

A: Given mean= 540 Standard deviation=SD= 55 We have to find the z value of 625.

Q: Former basketball player, Rebecca Lobo, is 6'4" (or 76 inches). Suppose the average height of women…

A: We know, (1 foot = 12 inch)Given;X: height of womenmean(X)=μ=5'4''(i.e. 5 foot 4 inches)=64''(i.e.…

Q: an exam score has a mean of 506 and a standard deviation of 100. What exam score corresponds to a…

A: μ = 506 , σ = 100 Z~ N(0,1)

Q: On a standardized exam, the scores are normally distributed with a mean of 39 and a standard…

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: At the shot put event the mean was a throw of 44.22 feet, with a standard deviation of 3.65 feet.…

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The Stanford-Binet IQ test is scaled so that scores have a mean of 100 and a standard deviation of…

A: Let "X" be the Stanford-Binet IQ test

Q: A large chemistry exam course took their final exam. The mean was 75 with a standard deviation of 8.…

A: Obtain the Z-score of the random variable X equals 60. The Z-score of the random variable X equals…

Q: The salaries of a company's employees are normally distributed with mean 15000 and standard…

Q: a bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean…

A: We have to find 60th percentile.

Q: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

A: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: he cost of laptops is normally distributed with a mean of $750 and a standard deviation of $60. What…

A: GivenMean(μ)=750standard deviation(σ)=60

Q: The temperature is recorded at 80 airports in the region. The average temperature is 65 degrees…

A: Solution

Q: The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The teams…

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: The mean rate for cable t.v.from a sample of 80 households was $29 per month with a standard…

Q: Scores for a civil service exam are normally distributed, with a standard deviation of 8. To be…

Q: A Population has a Mean of 90 and a standard deviation of 25. A sample of 20 college students is…

Q: The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and…

A: Given : The weights of miniature horses are roughly normally distributed with a mean of 230 pounds…

Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: Suppose a variable is normally distributed. What percentage of scores fall between one standard…

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The serum cholesterol level in men aged 18 to 74 are normally distributed with a mean of 178.1 and a…

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. Assume the scores…

A: Solution

Q: A test score of 45 has an equivalent standard score (z-score) of 1.6. If the mean test score is 39,…

A: given dataraw score x = 45standard score z = 1.6mean μ = 39S.D. σ = ?

Q: On a standardized exam, the scores are normally distributed with a mean of 120 and a standard…

A: Mean(μ)=120 Standard deviation(σ)=10 Raw score(X)=115

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

Q: amount of honey produced by local beekeepers is normally distributed with a mean of 140 pounds and a…

A: given data, normal distribution mean=140standard deviation=31smallest amount in the top 14% produced…

Q: A student earned a 75 on a calculus exam, and she earned a 68 on a linear algebra exam. The calculus…

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: GivenHighest speed measured (x)=78.4Mean(x)=18.37standard deviation(s)36.54

Q: an exam score has a mean of 506 and a standard deviation of 100. What exam score corresponds to a…

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Let X be the golf scores. It is given that X is normally distributed with mean 68 and standard…

Q: On a standardized exam, the score are normally distributed with a mean of 300 and a standard…

A: X~N( μ , ?) μ=300 , ?=25 Z-score =( x - μ )/?

Q: On a standardized exam, the scores are normally distributed with a mean of 550 and a standard…

A: The mean is 550 and the standard deviation is 40.

Question

100%

On a standardized exam, the scores are normally distributed with a mean of 550 and a standard deviation of 40. Find the z-score of a person who scored 538 on the exam.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

An art professor gives an A to any student in the top 9% of the distribution. The grades are normally distributed with a mean = 60 and standard deviation = 5. What's the minimum raw score for an A?
Sally had a z score of +0.25 on a test with a mean of 62 and a standard deviation of 5. What was her raw score on the test?
A standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny has a z score of -0.56. If 500 students take the test, how many would likely score above Jenny?
The mean height of males 20 years old or older is 69.1 inches with a standard deviation of 2.8 inches. The data is based on information obtained from the National Health and Examination Survey. Kevin is 83 inches tall. What is his z-score?
Exam scores have a normal distribution, with Mean of 70 and Standard deviation of 10. Bob’s score was 80. Find and interpret his standard score.
A baseball team is reviewing their batting statistics. The mean number ofhits for the batters on the team is 124, and the standard deviation is 14.5.What percent of the batters have between 95 and 124 hits
A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what percentage of students spend less than 12 hours in class?
A test score of 36 has an equivalent standard score (z-score) of -2.4. If the standard deviation is 4, what is the mean test score?
The amount of Jen's monthly phone bill is Normally distributed with a mean of $ 76 and a standard deviation of $ 11.What percentage of her phone bills are less than $ 80?
A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. What proportion of people scores in the A range (90 or above)?
On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.
On a recent exam, a student scored a 91. The student’s result corresponds to a z score of 1.71. If the mean of the distribution is 74, what is the standard deviation of the distribution?