A distribution of values is normal with a mean of 149.8 and a standard deviation of 20.6. Find P46, which is the score separating the bottom 46% from the top 54%. P46 = Enter your answer as a number accurate to 1 decimal plac

A distribution of values is normal with a mean of 149.8 and a standard deviation of 20.6. Find P46, which is the score separating the bottom 46% from the top 54%. P46 = Enter your answer as a number accurate to 1 decimal plac

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 researcher studying stress is interested in the blood pressure measurements of chief executive…

A: From the given information we have The null and alternative hypothesis are H0 : µ = 132H1: µ >…

Q: The SAT math scores of a particular high school in New Jersey are approximately normally…

A: From the empirical rule we know that 95% of the observations falls in (µ-2σ,µ+2σ) Where µ is the…

Q: The mean IQ of 500 data science students is 151 and the standard deviation is 15. Assuming that the…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults in those…

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: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: X follows a Normal distribution with mean = 100 and S.D = 15 Then z=(x-mean)/SD = (x-100)/15…

Q: Greg is in his first semester at a university and is taking a calculus course with a large…

Q: Anna Grace took the ACT and got a score of 31 on the math portion of the exam. The scores are…

A: Proportion of students Anna Grace scored lower than is 0.0047 (0.47%).

Q: The ACT math scores of a particular high school in New Jersey are approximately normally…

A: Given that 99.7% of the scores, centered about the mean, are between 200 points and 800 points. So…

Q: Show and explain all steps in calculating the mean and standard deviation of the data set assigned…

A: The question is about descriptive statistics Given data : To explain : 1 ) importance of dividing…

Q: The mean score on the ACT test was 23.7 and the standard deviation was 5.8. The distributions of…

A: Given: Mean = μ = 23.7 Standard deviation = σ = 5.8

Q: Use the normal distribution of IQ scores, which has a mean of 110 and a standard deviation of 14,…

A: The mean is 110 and the standard deviation is 14.

Q: Explain with an example of the distribution of values around the mean by using general rules.…

A: We have to find given distribution.

Q: JaJuan want to estimate the average student GPA at his high school. He surveys 37 students and finds…

A: Given,sample size(n)=37sample mean(x¯)=3.33population standard deviation (σ)=0.29

Q: The scores on a standardized normally distributed with a mean of 95 and standard deviation of 10.…

A: Standardized z-score: The standardized z-score represents the number of standard deviations the…

Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

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

Q: The average IQ of the adult population is 100. A researcher believes that average IQ of the…

A: The sample mean is calculated as follows: Mean = (69+79+89+99+109)/5 = 445/5 =…

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: 10. Solve the problems. Use the graph for the standard deviation points. In a fishing contest, the…

A: Given that: Mean = 16.40 in Standard deviation = 4.71 in To determine the percent of the fish…

Q: at you wanted to figure out your average winnings during a trip to Las Vegas. You know that the…

A: We use z-interval or confidence interval by using the z -distribution if the value of population…

Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

A: Given: Sample size (n) = 424 p(chocolate bars with a new mystery flavor) = 5.17% = 0.0517

Q: A data set has a mean of 70.7 and a standard deviation of 6.2. The score of 69, is how many standard…

Q: A population has mean 27 and standard deviation 12 . What is the data value that has a z-score of -2…

A: Given data, Mean=27 sd=12 z=-2 x=?

Q: A commonly used standardized test in psychology research is designed so that the mean score of all…

A: From the provided information, Mean (µ) = 140 Standard deviation (σ) = 20 X~N (140, 20) Here X be a…

Q: The heights of adult women are normally distributed with a mean of 64.5 inches and a standard…

A: The question is about normal distributionGiven :Mean height of adult women ( ) = 64.5…

Q: Ivan and his family are relocating to Los Angeles and have found a great area in which to live. The…

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

A: Given Information: Mean (u) = 75 Standard Deviation (s) = 8 To find: Exam scores that separates…

Q: Find the simple standard deviation of the data. Be sure to include the screenshot of excel of your…

A: Let X: Parking Ticket fines (Canadian $) The data is given as : X 30 15 40 40 40 30…

Q: According to the bookstore, 79% of students sell their used books back to the bookstore after the…

A: Givensample size (n) = 75p=0.79

Q: The average life of a car tire is 50,000 miles. The standard deviation is 2,000 miles What…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

Q: Assume that math test scores are normally distributed with a mean of 400 and a standard deviation of…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

A: It is given that the mean is 105 and standard deviation is 15.

Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…

A: Given Mean μ=15, standard deviation σ=32 X=103

Q: standard deviation

A: If the random variable X follows a distribution with mean = μ and standard deviation = σ Then the Z…

Q: The distribution of the scores on a standardized exam is approximately normal with mean 400 and…

A: The two values of Z that will contain 50% of scores lie are obtained as shown below:From the…

Q: Explain what would happen if Person A scored lower than the mean of 70. Give an example exam score…

A: To compare the performance of Person A and Person B on their respective exams with their classmates,…

Q: is 6% is your standard deviation?

A: Given according to question Sample size(N)=? Confidence =95% Margin of error = 5% Now question says…

Q: You are going to convert raw scores to z scores. The z scores are -2, -1, 0, +1, +2. The raw scores…

A: We have given that X~N( mu, sigma^2) Z-score =(x- mu)/sigma

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A distribution of values is normal with a mean of 149.8 and a standard deviation of 20.6.

Find P₄₆, which is the score separating the bottom 46% from the top 54%.
P₄₆ =

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The latest SAT scores are out. The average SAT score for graduating seniors is 1059, and the standard deviation is 210. An exclusive academic fraternity wishes to contact those scoring in the the top 1% on the SAT. What score is required for you to make the cut? (Please round your answer to a whole number, eg 1014.)
Answer according to Swikness theorm. Thank you • Illustration: The mean and standard deviation of a set of 100 observations were 40 and 5 respectively by a computer which by mistake took the value 50 in worked out as place of 40 for one observation. Find the correct mean and variance.
A study group takes a practice statistics exam. They find that the group has a mean score of 80 with a Standard Deviation of 5. Lily has a z-score of 1.9 and wants to know her raw score. Calculate her score. the answer is Between 89.4 and 89.6 can you please show me the work, how do I find her score?
In how many ways can(9)toys be distributed to(4)children so that the yongest child receives (3)toys and every other child (2)toys. A) 7560 B) 5760 C) 6750 D)
A distribution of values is normal with a mean of 116.2 and a standard deviation of 60.1. Find P43, which is the score separating the bottom 43% from the top 57%. P43 = Enter your answer as a number accurate to 4 decimal places.
A distribution of values is normal with a mean of 137.5 and a standard deviation of 37.8. Find P57, which is the score separating the bottom 57% from the top 43%. P57= Enter your answer as a number accurate to 4 decimal places.
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The area of the shaded region is. (Round to four decimal places as needed.) om/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandlesLocale=true# NO REF SAMPLE....pdf 2 W S 5373255.docx X H ommand # 3 80 F3 E D $ A 4 C Q F4 R F % 01 % 5 V T G < 6 MacBook Air B Y TEMPLATE Sel....docx & 7 H F7 N * 8 J A DII FB 1 M 9 resume..docx K O < H db O L F10 P Clear all command - Л. : ; I { + [ = 80 option Check answer ? Show All I } A 1 G X dele
Help
In a study 10 people were given a test. The mean test score was 78.9 points. The standard deviationfor the test scores was 5.2 points. If an 11th person takes the test and scores 77 points, predict what willhappen to the mean and standard deviation. Circle the appropriate conclusion in the sentences below. The mean will increase // decrease // stay the same. The standard deviation will increase // decrease // stay the same.
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.