The combined SAT scores for the students at a local high school are normally distributed with a mean of 1516 and a standard deviation of 309. The local college includes a minimum score of 2473.9 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: When Tallulah runs the 400 meter dash, her finishing times are normally distributed with a mean of…

A:

Q: According to the data from the National Health Survey, the height of all adult American women are…

A: The score is calculated below:

Q: Last year, the numbers of skateboards produced per day at a certain factory were normally…

A: Here we use the formula ; z=(x-mean)/standard deviation

Q: To compare the braking distances for two types of tires, a safety engineer conducts 35 braking tests…

A:

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

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: The number of minutes spent reading in one day is normally distributed with a mean of μ = 23 and a…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average…

A: Given,mean(μ)=1250standard deviation(σ)=500Doug bottle cap collection(X)=1000Melissa's bottle cap…

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: At the 0.05 level of significance, is there evidence that the mean life is different from 375hours?

A: Here sample size n =64 Population standard deviation = 100 hours Sample mean = 350 hours Here claim…

Q: A chemical engineer claims that the average daily yield of a chemical manufactured in a chemical…

A: The standard error is,

Q: The credit card balances on 1,000 accounts at the Jefferson Valley Bank have a mean of $760 and a…

A: mean = 760 s = 120 n = 1000

Q: The year Deon graduated college, he got a job as an entry-level software engineer working for a firm…

A:

Q: According to the U.S. Department of Agriculture, Alabama egg farmers produce millions of eggs every…

A:

Q: A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000…

A: Given : Let X : Number candy that they sell in a given day           μ = 8 million i.e   Mean (μ) =…

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: The scores on a marketing exam were normally distributed with a mean of 67 and a standard deviation…

A: Given data normally distributed with mean (μ) =67, standard deviation (σ) =9.Let ‘X’ be a normal…

Q: Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the…

A: Let μ denotes the population mean per capita monthly fuel oil bill. The national per capita monthly…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: μ = 800 σ = 190

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a…

A: Mean (Adult men) = 69.4 Standard deviation (Adult men) = 2.68 Mean (Adult women) = 64.3 Standard…

Q: The department has decided that all marks from introductory psychology courses should be reported…

A: Here For two different  Distribution Comparison we will Use Standardized statics (Z)..

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given information- Population mean, µ = 67 inches Population standard deviation, σ = 3 inches We…

Q: The US department of Agriculture claims that the mean annual consumption of tea by a person in the…

A:

Q: According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow…

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: At a college, the mean height of women is 63 inches with the standard deviation of 3 inches. What is…

A: Given,mean(μ)=63standard deviation(σ)=3

Q: Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard…

A: From the provided information, Mean (µ) = 253 Standard deviation (σ) = 80

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A: Heights of adult men is Normally Distributed with mean 69.1 inches and standard deviation 2.68…

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: The average salary of a male full professor at a public four-year institution offering classes at…

A: Solution: Let X be the salary of a male full professor. From the given information, X follows normal…

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A:

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are…

A: We have to find correct answer..

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A: Solution: Let X be the salaries of assistant professors. From the given information, X follows…

Q: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…

A: The detailed solution is as follows below:

Q: A student scored 66 on a general science test where the class mean and standard deviation were 82…

A:

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200…

A: Let X denote the amount of time a certain brand of light bulb lasts. Given that X follows N(mean =…

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

A:

Q: In a certain university, the students were informed that they need a grade in the top 8% of the…

A:

Q: The scores of students on an exam are normally distributed with a mean of 193 and a standard…

A:

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: Given: Mean of combined scores of students = 880 Standard deviation of combined scores of students =…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: The combined math and verbal scores for students taking a national standardized examination for…

A:

Q: The average salary of a male full professor at a public four-year institution offering classes at…

A: Solution: Let X be the  average salary of a male full professor at a public four-year institution…

Q: In a certain​ city, the average​ 20- to​ 29-year old man is 72.5 inches​ tall, with a standard…

A:

Q: The mean salary of all employees in a company is $3,485, and the standard deviation is $1,870. Find…

A:

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A:

Q: A recent newspaper article reported the results of a survey of well-educated suburban parents. The…

A: Given that 2-year-old children watching an average of 60 minutes of television each day watching an…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.