Assume that adults have IQ scores that are normally distributed with a mean of 101.7 and a standard deviation 16.8. Find the first quartile Q1​, which is the IQ score separating the bottom​ 25% from the top​ 75%.

Q: Let X, Y be independent Uniform (0, 2) random variables. Define Y, if X }. Z = Compute E[Z] and…

A: X,Y ~ Uniform(0,2) E(X) = E(Y) = 0+22=1 Var(X) = Var(Y) = (2-0)212=412=13 Z = Yif X <122Yif X≥12…

Q: The election results were announced in a country. The number of seats in state Mozi had a mean of…

A:

Q: The tallest living man at one time had a height of 261 cm. The shortest living man at that time had…

A:

Q: Which of these two men had the height that was more​ extreme

A: Let , X : height of the tallest man and Y : height of the shortest man Since , the distribution of…

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Z-score = (X-mean)/Standard deviation  Put given values in formula :  Given information :  Mean =…

Q: he effects of mentoring on intelligence scores. He wanted to know as a baseline what the averag

A: mean(μ)=100standard deviation(σ)=16  n=50    let X~N(100,16)

Q: The National Health Statistics Reports published in 2018 reported that a sample of 360 ten-year- old…

A: Null and alternate hypotheses: The investigator is specifically interested to test whether the mean…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given that, Mean = 130 Standard deviation = 20 Raw score = 156

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 amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and…

A: GivenMean(μ)=16standard deviation(σ)=5.5sample size(n)=7

Q: A normally distributed set of data has been generated where 50% of the data lies below 97 and 70%…

A:

Q: The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and…

A: Solution-: Given: \mu=16, \sigma=5,n=9 Our aim to find, (a) Q1 for the average of 9 coffee drinkers…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: It is given that the mean and standard deviation are 145 and 30.

Q: An IQ test has a mean of 97 and standard deviation of 10. Which is more unusual, an IQ of 87 or an…

A: Given data  μ = 97σ = 10which score is more unusual? 87 or 110?

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

Q: Researchers measured the waist sizes of 230 men in a study on body fat. The true mean and standard…

A: Suppose researchers measured the waist sizes of  men in a study on body fat. The true mean:…

Q: The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces with…

A: Given

Q: The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given,mean(μ)=170standard deviation(σ)=10A raw score(X)=198

Q: A businessman calculated the average price of variety A rice per kilo at ₱32.00 with a standard…

A: First calculate sample mean and sample standard deviation for rice B varieties using Excel

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

Q: Happy Hair will hire only those hairdressers in the top 20 percent based on the amount of time it…

A: Given: Mean= μ== 67.5 Standard deviation= σ = 12.5

Q: The results of a common standardized test used in psychology research is designed so that the…

A: The standard normal value helps to understand the number of deviation of observations from the mean.…

Q: Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a…

A: For the distribution of the price of the recently sold homes, the parameters are specified as…

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A: Let "x" be the height of women

Q: Pyramid Lake is en the Paiute andan Reservation in Nevada. The lake is famous for cuthreat trout.…

A: a)   Assume that μ is the true mean length of trout caught in Lake P.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: Let "X" be the lengths of pregnancies in a small rural village in days.

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

Q: On Bob's last history test, he had a score of 92.  Bob's z-score was -0.5, and the test's standard…

A: Solution -Given that Score in History test be X=92 Z- Score=-0.50 Standard deviation= 6 Find mean…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data; x¯=165σ=50x=145

Q: The average IQ of a population is 100. A researcher wants to test whether a new medicine 'Think…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Let us define a random variable x denoting test score used in psychology research which has;…

Q: The time needed to take an exam is normally distributed with an average of 120 minutes and a…

A: Given,mean(μ)=120standard devition(σ)=20

Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…

A: Given : Length of pregnancies = X  X is normally distributed  Mean of X = 268 days  Standard…

Q: The mean total serum cholesterol level in women free of cardiovascular disease is 205 with a…

A: The independent variable is total serum cholesterol level in women free of cardiovascular disease.…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data: x¯=160σ=30   x=127

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: normal distributionμ = 500σ = 100P(570<x<640) = ?

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Formula for z-score is,

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and…

A: It is given that, Mean,μ =15 ounces Standard deviation, σ=4.5 ounces