Guests at a hotel spend a mean of 11.4 minutes/day in the shower.  These times are normally distributed with a standard deviation of 2.6 minutes.  The hotel has installed a system that can provide enough hot water provided that the mean shower time of 84 guests is less than 12 minutes.  If the hotel currently has 84 guests, what is the probability that there will not be enough hot water?

Q: The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.45…

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Q: The weight of bags of apples is normally distributed with a mean of 10kg and a standard deviation of…

A: Let Xa be the weight of apple bags and Xc be the weight of carrot bags. Both, Xa and Xc are normally…

Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way…

A: The binomial distribution discovered by James Bernoulli. If X is a discrete random variable with…

Q: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

A: Given data,Mean μ=13.6sd    σ=1.5If n=30P(X>14)=?

Q: The accountants of a known auditing firm have a mean daily salary of P850 with a standard deviation…

A: X~N(μ= 850 , σ= 82 ) μ= 850 , σ= 82 Formula for Z-score Z=(X-μ)/σ

Q: The number of crackers in a box of Crackerbox Crackers is normally distributed with a mean of 75 and…

A: The provided information is  µ=75 σ=2 P(X>76) P(X>76)=P(X-µσ>76-752)=P(z>0.5)=0.3085The…

Q: A species of extra-terrestrial has a mean height of 23 cm and a standard deviation of 3.6 cm. What…

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

Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm

Q: normally distributed with a mean of 28 ounces and a standard deviation of 1 ounce.  What is the…

A: From the available information, the amounts of boxed cereal are normally distributed with a mean of…

Q: In​ 2008, the per capita consumption of soft drinks in Country A was reported to be 19.11 gallons.…

A: GivenMean(μ)=19.11standard deviation(σ)=5

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28…

A: P(X<30)=Pz<30-28540=P(z<2.53)=0.9943

Q: The Monthly salaries of teachers at Los Angeles Trade Tech are normally distributed with a mean of…

A: Given information: The monthly salaries of teachers at Los Angeles Trade Tech are normally…

Q: Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches…

A: Obtain the probability of obtaining a sample mean height less than 14.8 inches. The probability of…

Q: After many years of product car batteries testing, a company knows that the average life of a…

A: Solution: Let X be the life of a battery. From the given information, X follows normal distribution…

Q: A tire manufacturer states that a certain type of tire has a mean lifetime of 60,000 miles. Suppose…

A: From the given information, A tire manufacturer states that a certain type of tire has a mean…

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…

A: Suppose a random sample of sufficiently large sample size drawn from a population whose mean is µ…

Q: In​ 2008, the per capita consumption of soft drinks in Country A was reported to be 19.11 gallons.…

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

Q: THE SICK-LEAVE TIME OF EMPLOYEES IN A FIRM IN A MONTH IS NORMALLY WITH A MEAN OF 100 HOURS AND A…

A:

Q: A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a…

A: Let X denote the customer ages and it follows normally distribution with a mean of 37.5 and a…

Q: The amount of time that customers wait in line during peak hours at one bank is normally distributed…

A: Here it is given that, Mean (μ) = 12Standard Deviation (σ) = 2 Let X be a random variable which…

Q: In a recent survey of high school students, it was found that the average amount of money spent on…

A:

Q: A canning company that cans pineapple juice has a machine that automatically fills 16-ounce cans.…

A: Given data,Mean(μ)=16sd (σ)=1P(X>16)=?

Q: In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the…

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Q: The heights of North American women are normally distributed with a mean of 64 inches and a standard…

A: Given data The heights of north American women are normally distributed with mean of 64 inches and a…

Q: The average hourly sale of a certain ride in an amusement park is P148.75/hr with a standard…

A: Given information- Population Mean µ = P148.75/hr Standard deviation (σ) = P75.76 Let X be the…

Q: in a recently conducted study, families reported using an average of 70 gallons of gasoline per…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15 inches,…

A: Mean = 15 Standard deviation = 1

Q: The weights of ice cream cartons are normally distributed with a mean weight of 10 ounces and a…

A:

Q: An electrical company claims that an average life of bulbs it manufactures is 1200 hours with a…

A: Given that : μ= 1200 hour  ? = 250 hours  n = 100 By using the central limit theorem we solve this…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given Information: Mean = 8.4 Standard Deviation = 1.8 n = 40

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13 inches,…

A:

Q: An electrical component is designed to provide a mean service life of 3000 hours, with a standard…

A: Given that: X is normal Distributed with mean µ = 3000.0 and standard deviation σ = 800.0 By using…

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X be number of calls received per hour. Given: μ=190,  and σ=20 We need to find the PX<163

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: Consider a random variable X which, follows normal distribution, indicates the time to find a…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 11 ounces and a…

A: Given : μ=11 ounceσ=0.6 ounceX~N(μ=11,σ2=0.62)Let, for sample of size n,x¯~Nμx¯=μ,σx¯2=σn2

Q: What is the probability that the workers received a salary higher than or equal to ₱575 per day?

A: According to the study, the mean salary of the workers in Metro Manila is ₱550 per day with a…

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A: let  x is defined as the weights of sheep are considered normally distributed with a mean of 60 kg…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 12 ounces and a…

A:

Q: A newspaper publisher has mean sales of 28,200 copies per day with a standard deviation of 3,100…

A: 1.   From the given information, the mean sales is 28,200 copies per day and the standard deviation…

Q: The time needed to complete a final examination in a particular college course is normally…

A: Let X be the random variable from normal distribution with mean (μ) = 160 minutes standard deviation…

Q: The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and a…

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Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

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Q: Which most closely reflects the probability that a randomly selected bulb would last fewer than 940…

A: Let X denote the life of bulb. Given that X follows N(mean = 1000, SD = 50), then Z = (X - mean)/SD…

Q: Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of…

A: Let us denote: X=Furnace repair billsGiven that X follows a normal distribution with mean=267 and…

Q: A factory produces LED bulbs with an average lifespan of 50,000 hours and a standard deviation of…

A: Given dataMean = 50000Standard deviation = 4000If it is known that a bulb already has lasted for…

Q: Traveling between two campuses of a university in acity  via shuttle bus takes, on average, 28…

A: Let us denote X=the time for traveling between two campuses of a university in a city via shuttle…

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A: Given μ=68σ=3

Q: Furnace repair bills are normally distributed with a mean of 269 dollars and a standard deviation of…

A: Given: Population meanμ=269Sample size(n) =64Population standard deviationσ=20 Consider X be the…

Q: The ages of patients in a hospital were normally distributed with a mean of sixty-three years and a…

A:

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.