Question

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1503 and a standard deviation of 308. The local college includes a minimum score of 1626 in its admission requirements.

What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 1626) =  _________%

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Not helpful? See similar books
MATLAB: An Introduction with Applications
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Let "X" be the combined SAT scores for the students at a local high school

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Let X denote the combined SAT scores for the students at a local high school and it follows normal…

Q: Students at a major university are complaining of a serious housing crunch. Many of the university…

A: Given the mean distance commuted to school by students is 16.0 miles, and the standard deviation of…

Q: Students at a major university are complaining of a serious housing crunch. Many of the university’s…

A: A. Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any…

Q: hs of pregnancies in a small rural village are normally distributed with a mean of 263 days and a…

A: mean = 263 standard deviation = 12 n = 42

Q: eighth grade​ students' scores on a national mathematics assessment test has a mean score of 293.…

A: Click to see the answer

Q: Housing prices in a small town are normally distributed with a mean of $141,000 and a standard…

A: Given,mean(μ)=$141,000standard deviation(σ)=$7,000

Q: Housing prices in a small town are normally distributed with a mean of $172,000 and a standard…

A: Empirical rule (68 – 95 – 99.7 rule): For a bell shaped distribution (normal) the empirical rule…

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: The scores on an aptitude test are normally distributed with a mean of 18 and standard deviation of…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: The average resident of metro city produces 630 pounds of solid waste each year, and standard…

A: Given: Population meanμ=630Population standard deviationσ=70

Q: ths is interested in the average number of months that it takes customers to pay off their account…

A: As the population standard deviation is not known, we will use a t-test.the degrees of freedom will…

Q: Housing prices in a small town are normally distributed with a mean of $120,000 and a standard…

A: Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: The combined SAT scores for the students at a local high school are normally distributed with a mean…

Q: IQs of 600 applicants to a certain college are approximately normally distributed with a mean of 115…

A: (i) Let A denote the IQs of 600 applicants of certain college Here A is approximately normally…

Q: Housing prices in a small town are normally distributed with a mean of $177,000 and a standard…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: It is given that mean and standard deviation are 1466 and 304, respectively.

Q: The residents of Toledo produce on average 600 pounds of solid waste each year, and the standard…

A: Obtain the weight range that contains at least 75% of all residents’ annual garbage weights.   The…

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Click to see the answer

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Click to see the answer

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Given,standard deviation(σ)=3 minute=180 secondsα=1-0.95=0.05α2=0.025Z0.025=1.96    (from Z-table)

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: a.Computing the sample size:The sample standard deviation is 3 minutes, confidence level is 95%, and…

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: It is given that the standard deviation is 4 minutes.

Q: A person must score in the upper 2% of the population on an IQ test to qualify for membership in…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Click to see the answer

Q: Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test…

A: Here we need to find the incorrect statement from the above.

Q: dard deviation of 7. He also took a quiz in Mathematics and scored 58 for which the average score of…

A: A z-score is known as the standard score that determines how much the data point deviates from the…

Q: The average salary of a civil engineer is $75,000 with a standard deviation of $10,000. Find the…

A: We have to find unusual range.

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Click to see the answer

Q: Weights of Adult Coho Salmon are normally distributed with a mean of 9.3pounds and a standard…

A: We have given that the weights of Adult Coho Salmon are normally distributed with a mean of 9.3…

Q: Corn flakes come in a box that says it holds an average weight of 68 ounces of cereal with a…

A: Click to see the answer

Q: Boys of a certain age are known to have a mean weight of µ = 85 pounds. A complaint is made that the…

A: From the provided information, Population mean (µ) = 85 Sample size (n) = 25 Sample mean (x̅) =…

Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: The exam scores are normally distributed with the mean, μ=790, and standard deviation, σ=50. Now, it…

Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: We will use the fact that she needs at least two standard deviations above the mean to get into her…

Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: Given: Mean μ = 790 Standard deviation σ = 50 Z-score = 2 Formula Used: Z = x-μσ

Q: A certain type of calculator battery has a mean lifetime of 150 hours and a standard deviation of of…

A: Null and alternative hypothesis: The investigator is specially interested to test whether the new…

Q: The scores of students on an exam are normally distributed with a mean of 335 and a standard…

A: We have to find quartiles.

Q: The amount of daily sales of a candy shop in weekdays is approximately normally distributed with a…

A: Let us denote: X=the amount of daily sales of a candy shop in weekdays Given that X follows a normal…

Q: The average salary of a civil engineer is $75,000 with a standard deviation of $10,000. Find the…

A: Click to see the answer

Q: Q scores based on the Wechsler Adult Intelligence Scale (WAIS) are assumed to be normally…

A: Given data,Mean μ=100standard deviation σ=15Score is x=125z-score=?

Q: Scores on the verbal reasoning portion of the GRE have a mean of 150 and a standard deviation of 8.…

A: The provided information are: Population mean μ=150 Population standard deviation (σ) = 8 Z-score =…

Q: 6. The mean value of a 2005 Honda Accord is $8200, with a standard deviation of $1300: a. Give the…

A: Given data,Mean μ=8200sd σ=1300

Q: A normal distribution of heights of adult women from a certain region has a mean of 69.3 inches and…

A: Given  μ=69.3, σ=3  Let X be the heights of adult women. We want to find the Z score and percentile.…

Q: In a factory producing glasses, the weights of glasses are known to have a mean of 160 grams. It is…

A: By looking at a Z table we can conclude that Q1 and Q3 are each .6745 standard deviations from the…

Q: Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a…

A: From the provided information, Scores on the verbal Graduate Record Exam (GRE) are normally…

Q: Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a…

A: It is given that exam scores are normally distributed with a mean of 600 and a standard deviation of…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X be the length of the rods. Here, X is normally distributed with mean, μ=114.5 cm and standard…

Q: A livestock cooperative reports that the mean weight of yearling Angus steers is 1097 pounds.…

A: Given,   Mean = 1097 Standard deviation = 67   The objective is to find the required percentages.

Q: 1) According to Consumer Expenditures, the average consumer spent $1729 on apparel and services in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want a…

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
  • Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
    Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman