The mean weight of Sumo wrestlers is 350 pounds with a standard deviation of 25 pounds. Assume the distribution of Sumo wrestler weights is unimodal and symmetric and the Empirical Rule applies. If a Sumo wrestler is randomly selected what is the probability they weigh between 325 and 350 pounds? 13.5% 34% 16% 2.35%

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: Given that.   X~N( μ , ?^2 )   μ=3.2     , ?=0.3   Z-score =( x - μ )/?

Q: A test in statistics for decision making course was administered to 2500 MBA students. The test…

A: Let us assume X=the score Given that X follows a normal distribution with mean=42 and variance=576.…

Q: The height of the students at Great Lake University is normally distributed with a mean (mu) of 68…

A: The question is about normal distribution.Given :Population mean height of students (  ) = 68…

Q: Doorway Height The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of…

A: a)The random variable x represents the heights of men.The formula to convert the heights of the men…

Q: A. If one male passenger is randomly selected from the airliner, find the probability that he will…

A:

Q: Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that…

A: It is given that Mean = 63.6Standard deviation = 2.5

Q: three-point shots made per game over his career with a standard deviation of 1.23. What is the…

A:

Q: Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb…

A: The objective of this question is to find the probability that a randomly selected male college…

Q: he cost of repairing a smart phone that is out of warranty follows a normal distribution with a mean…

A: given data,normal distribution μ=120σ=8 we haveto findout the z score and probabilities for given…

Q: The monthly rents for studio have a apartments in Abu Dhabi mean of AED 3400 and a standard…

A: GivenMean(μ)=3400standard deviation(σ)=400sample size(n)=25

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Given that, the lengths of pregnancies are normally distributed with a mean of 266 days and a…

Q: Since the heights of people in USA is normally distributed, what is the probability that an…

A: Given data Normal distributionP(x>μ+2σ) = ?

Q: A test score in the top 2% is required. The test is designed to have a mean of 100 and a std dev. of…

A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…

Q: Money people carry into the store is normally distributed with a mean of $258 dollars and a standard…

A: GivenMean(μ)=258standard deviation(σ)=35sample size(n)=76

Q: Adults hase IQ scores that are normally distributed with a mean of 100 and a standard deviation of…

A: Given data, Mean=100 sd=10 P(X>120)=?

Q: The number of miles on a car when a certain part fails is normally distributed, with a mean of…

A:

Q: The heights of adult males in the United States are approximately normally distributed. The mean…

A: Mean(µ) = 70Standard deviations (σ) = 3X ~ N (µ, σ )= N(70, 3)

Q: The probability is 98​% that someone in Country A consumed less than _________ gallons of soft…

A: Let , X→N(μ=19.11 , σ=5) Our aim is to find the 98​% of the people in Country A consumed less than…

Q: n variable.

A:

Q: The average cost per household of owning a brand new car is $5000. Suppose that we randomly selected…

A: Z-score formula : z = (x̄ - μₓ̄ )/σₓ̄

Q: Jed raises chickens.  He says that the average chicken weight is 5.5 lbs.  Test his claim.  A simple…

A:

Q: A study shows that the normal time that a customer occupied a table in a fine dine restaurant is 1.2…

A:

Q: Water use per person is reported as 70 gallons per week, with a standard deviation of 10 gallons If…

A: Given that, μ=70,σ=10,n=25 (a) The probability of their sample mean being greater than 75 gallons…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given information, The new population of pilots has normally distributed weights with a mean of 149…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A:

Q: Basketball players drink 2.3 liters of water (on the average) with a standard deviation of 0.9 liter…

A:

Q: Assuming that exam score is a normal random variable, determine the corresponding z-score of a exam…

A: Given Raw Score = x = 178 Mean = μ = 165 Standard Deviation = σ = 8 In normal distribution, z = x-μσ

Q: The number of homes sold by a realtor during a month has the following probability distribution:…

A: The expected value (mean) of a probability distribution is calculated by multiplying each possible…

Q: Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters…

A: Assume the random variable x defines the fill amount of bottles of a soft drink.

Q: The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000.  A…

A: It is given that the mean is 75,000 and the standard deviation is 10,000.

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: Pregnancy Length AnalysisGiven:Pregnancy lengths are normally distributed with a mean (μ) of 270…

Q: Provide an appropriate response. Suppose a brewery has a filling machine that fills 12 ounce bottles…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: The Z-score for an assumed variable X, Z=X-μσwhere μ=population mean            σ=population…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: Hypotheses: H0: μ1=μ2=μ3 H1: At least two of the means differ from each other. All distributions are…

Q: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The weights of sheep available for sale for during Eid Qurban is normally distributed with a mean…

A: From the provided information, Population mean (µ) = 45 kgs Population standard deviation (σ) = 5…

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.