A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?

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A: Given,   People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ…

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Q: According to a recent study the Weight of male babies less than two months old in United States is…

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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: If grades on a certain test are approximately normally distributed with a mean of 75 and a standard…

A: The random variable X is defined as the grades on a certain test follows normal distribution with a…

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A: Let X be the variable denoting score of the exmination. X ~ N (μ, σ) Given mean, μ = 85 standard…

Q: According to a recent survey, the population distribution of number of years of  education for…

A: What is the standard error of mean?

Q: if an approxemitly  bell shaped distribution has a mean of 30 and standard deviation of 5, what…

A: Given that  X~N( μ = 30 , ? = 5 ) μ = 30 , ? = 5 Formula for Z-score Z-score =( x - μ )/?

Q: An advertising agency has stated that 20% of all television viewers watch a particular program. How…

A: From the provided information, An advertising agency has stated that 20% of all television viewers…

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

A: From the given information, consider X be a random variable denoting score in an IQ test for…

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

A: Given  mean of 670 and a standard deviation of 220.

Q: A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the z-score of the value 18.5,…

A: Solution  Given That, A dataset has a mean of 48.1 and a standard deviation of 6.3. What is the…

Q: Assume that the heights of men applying for Us Military training are normally distributed with a…

A: Given, Assume that the heights of men applying for Us Military training are normally distributed…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.6 and a standard…

A:

Q: A researcher claims that the standard deviation of the number of deaths annually from typhoons in…

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Q: A recent Gallop Poll indicates that 80 % of voting age adults disapprove of Congress. If 700 voting…

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

A: GivenMean(μ)=810standard deviation(σ)=280

Q: If a set of grades for a class has a large range and a small standard deviation, what can you say…

A: It is given that a set of grades for a class has large range and a small standard deviation.

Q: A study of the Physics and Astronomy department has found that 95% of the graduate students drink…

A: Explanation:Here given the two means and find out the standard deviation of the sample follows the…

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

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

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Q: Suppose a random sample of 25 measurements was taken from a population with a mean of 74 and a…

A: We know that,  Sample size (n) = 25 and population mean (μ) = 74 and population standard deviation…

Q: in a Scores on a scholarship aptitude examination for senior high university in the Visayas are…

A: Let X denotes the aptitude scores. It is given that X is normally distributed with mean  of 70 and…

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation…

A: Given, Mean, mu= 104 Standard deviation, sigma= 17 We know that,  Z score= (X-mu)/sigma

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

A: μ = 800 σ = 190

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: The score on a test have a mean of 100 and standard deviation of 15. If a personnel manager wishes…

A: From the given information we find the cut off score.

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A:

Q: Suppose that IQ scores have a bell shape distribution with a mean of 105 and a standard deviation at…

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Q: A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a…

A: Given data ,μ=6.5σ=2.0Pz>z=10 %

Q: Assume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard…

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Q: If a population has a standard deviation σ , then the standard deviation of the mean of 100 randomly…

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Q: A population with µ = 587 and σ = 12 is transformed into z-scores.  After the transformation, what…

A: It is given that a population with mean is 587 and the standard deviation 12.

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation…

A:

Q: Say that an extraversion scale has a population mean of 40 and a standard deviation of 10. About…

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Q: If SAT scores are normally distributed with a mean of 500 and standard deviation of 100, what…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard…

A:

Q: According to the College Board, scores on the math section of the SAT Reasoning college entrance…

A: Given information, Mean =516 Standard deviation =116

Q: a) MENSA is an organization whose members have IQs in the top 2% of the population. IQs are normally…

A: As per our guidelines, we are allowed to answer one question per query. Part (b) is totally…

Q: according to police sources, a car with a certain protection system will be recovered 90% of the…

A: Given problem is a binomial distribution with:

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

A:

Q: A researcher reports that the average income of system analysts in Makati is P44,000 per month. A…

A: Given: Average(μ)=44000sample size(n)=30Sample mean(x¯)=45800Standard deviaion(s)=5400

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

A:

Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…

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.