he most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between eruptions is normally distributed with standard deviation 21.25 minutes, answer the following questions: Source: www.unmuseum.org (a) What is the probability that a randomly selected time interval between eruptions is longer than 95 minutes? (b) What is the probability that a random sample of 20 time intervals between eruptions has a mean longer than 95 minutes? (c) What is the probability that a random sample of 30 time intervals between eruptions has a mean longer than 95 minutes? (d) What effect does increasing the sample size have on the (e) What might you conclude if a random sample of 30 time intervals between eruptions has a mean longer than 95 minutes? (f) On a certain day, suppose there are 22 time intervals for Old Faithful. Treating these 22 eruptions as a random sample, the likelihood the mean length of time between eruptions exceeds _____ minutes is 0.20.   What is the answer to solving F? And can you solve it with a TI calculator?

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A:

Q: When fisshing off the shores of Florida, a spotted seatrout must be between 14 and 30  inches long…

A: Let X be the  lengths of the spotted seatrout that is normally distributed with mean, μ=22 inches…

Q: According to a mashable.com post, time spent on Tumblr, a microblogging platform and social…

A: Consider X be the random variable defined as the time spent on Tumbler per visit, which is normally…

Q: The average salary of bank managers in a certain city is $85,600 pesos per hour with a standard…

A:

Q: Suppose that a 1-gallon can of paint covers 513.3 square feet on average with a standard deviation…

A: From the provided information, Mean (µ) = 513.3 square feet Standard deviation (σ) = 31.5 square…

Q: According to the Department of Education, the time college students spend on their cell phones daily…

A: Given that, mean, mu=270 Standard deviation, sigma= 75 We know that, Z score=(X-mu)/sigma

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: The buffet has an average wait line of 45 minutes, with a standard deviation of 15 minutes. If we…

A: Given Data Population Mean,μ = 45.0 Population Standard Deviation,σ = 15.0

Q: According to the Department of Education, college students spend an average of 270 minutes per day…

A: The probability that students spent less than 230 minutes on their phone that day is obtained below:…

Q: 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that…

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

Q: The time college students spend on the internet follows a normail distrubution. At Johnson…

A:

Q: Cititon Forest contains a population of 326 chupacabra, whose masses have a mean of 30.2 kg and a…

A: Given that ; N = 326 u = 30.2 kg n = 70 kg ? = 7.4 kg By using standard normal distribution we solve…

Q: At a large university, the mean amount spent by students for cell phone service is $38.90 per month…

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Q: A census of the labor force in a large metropolitan area found that the time is takes for people to…

A:

Q: The length of an episode of the hit TV show, Fake Blood, is normally distributed with a mean of 62…

A: Given that  X~Normal(μ=62 , ?=4.5) Mean=μ=62 , Standard deviation=?=4.5)

Q: A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 16.3 and…

Q: The length of time it takes to groom a dog at Shaggy's Pet Shoppe is normally distributed a mean of…

A: The provided information is  µ=45 σ=10 1.P(X>60)=P(X-µσ>60-4510)=P(z>1.5)=0.0.0668The…

Q: A large corporation pays its employees an average of $64,000 per year with a standard deviation of…

A:

Q: In a certain barangay, the Local Government Unit (LGU) distributes "ayuda" benefits to each family…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: A manufacturer of a lightbulb claimed that its lightbulbs have a mean lifetime of 700 hours with a…

A: Given Mean=mu=700 Standard deviation=sigma=120 n=144

Q: According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a…

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 top selling Red and Voss tire is rated 70,000 miles, which means nothing. In fact, the distance…

A: Standard normal score: The standard normal score follows normal distribution with mean 0 and…

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A: The random variable X is defined as the heights of men which follows normal distribution with mean…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A:

Q: When people take their car to the service department the cost has a mean cost of $873.12 and a…

A: Solution: Let X be the cost. From the given information, X follows normal distribution with mean…

Q: In the United States, men’s heights have mean of 69 inches, and standard deviation of 3 inches.…

A: Let X be the height of men in United States. X follows normal distribution that has mean µ = 69 and…

Q: A jar of peanut butter is normally distributed with a mean of 16 oz and a standard deviation of 0.02…

A: Given information- Population mean, µ = 16 oz Population standard deviation, σ = 0.02 oz Let, x be…

Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…

A:

Q: The weight of potato chip bags filled by a machine at a packaging plant is Normally distributed,…

A: Given Mean=15 Standard deviations=0.2

Q: The shape of the distribution of the time required to get an oil change at a 20 minute oil change…

A: The provided information is, µ=21.6 s=4.6 n=40

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: Provided data is, The weight of people in a small town in Missouri is known to be normally…

Q: If the weight (in pounds) of fish in my pond is normally distributed with mean 8 and standard…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =8       standard…

Q: A company that owns a fleet of cars for its sales has found that the service lifetime of disc brake…

A:

Q: According to NelGo Inc., the mean yearly salary of Puerto Ricans living in Orlando is $35,600 with a…

A: Given information- Population mean, µ = $35,600 Population standard deviation, σ = $7,000 Let X be…

Q: A 2006 Toyota Echo has a mean gas mileage of 32 miles per gallon (mpg) with a standard deviation 5…

A: Given that: X is normally Distributed with mean µ = 32.0 and standard deviation σ = 5.0 By using…

Q: The average commute to work (one wav) is 25 minutes accordina to the 2005 American Community Survey.…

A:

Q: The mean number of miles driven per vehicle annually in the United States is 12494 miles. Assume the…

A:

Q: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $ 2,650 . Assume…

A: Given,Meanμ=2650Standard Deviation(σ)=500Sample Size(n)=100

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 568…

A: Givan Mean=568 standard deviations=76

Q: Most graduate schools of business require applicants for admission to take the Graduate Management…

A: Given:  mean =527 standard deviation = 112 Let the scores of GMAT be X Scores on the GMAT are…

Q: The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of…

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Q: The diameter of ping-pong balls manufactured by a French company is 1.57 inches with a standard…

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Q: In Panchkhal, milk tanker trucks follow a daily routine, stopping at the same dairy farms every day.…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are…

A: Let "X" be the time of finishers in the New York City 10-km run.

Q: If the mean and standard deviation of cell sap values for healthy plants are 120 and 15 micrograms…

A: According to central limit theorem, the sampling distribution follows the normal distribution if the…

Q: ) What is the probability that the number of anomalies does not exceed the mean value by more than…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A: Z score: The number of standard deviations the original measurement x is from the value of mean µ is…

Q: mean cost of a new Sport Utility Vehicle (SUV) has been found to be $42,500 with a standard…

A: Given that: μ = $ 42500 ? = $ 2500 By using standard normal distribution we solve this problem

Q: According to the Department of Education, the time college students spend on their cell phones daily…

A: GivenMean(μ)=270standard deviation(σ)=75

Q: The average height of 4 year-old children is 40 inches with a standard deviation of 2.4 inches. If…

A: The random variable height follows a normal distribution. The population mean is 40. The population…

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.