Cans of a popular soft drink are filled so that the actual amounts have a mean of 15.00 oz and a standard deviation of 0.9 oz. Find the probability that a sample of 40 cans will have a mean amount of at least 15.4 oz?

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Given : Average bus time is: μ=31 minutes Standard deviation: σ=5 minutes The Z-score is calculated…

Q: In an article about the cost of health care, Money magazine reported that a visit to a hospital…

A: (a)   Obtain the probability that the cost will be between $300 and $400   The probability that the…

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

A:

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

A: Given: Population mean (µ) = 80 Population standard deviation (σ) = 10 Consider, X be the random…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

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: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A: Given data,μ=69.7σ=3P(68<X<70)=?

Q: Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a…

A:

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31…

A: P(X>30)=1-Pz<30-311045=1-P(z<-0.67)=1-0.2514=0.7486

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A:

Q: Most graduate schools of business require applicants for admission to take the GMAT exam. Suppose…

A: The random variable is score on the GMAT. It follows standard normal distribution. The population…

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 golf scores for a school team were normally distributed with a mean of 72 and a standard…

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: A certain car model has a mean gas mileage of 34 miles per gallon with a standard deviation 5 mpg. A…

A:

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

A:

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Given that, A set of final examination grades in an introductory statistics course is normally​…

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A: Given, mean, μ= 175.9 minutes standard deviation,  = 27 minutes n = 30

Q: The tread life of Stone Soup tires can be modeled by a normal distribution with a mean of 35,000…

A: Given: Population mean = 35000 Population standard deviation  = 4000     Sample size (n) = 100 Let X…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=28 minutes and a…

Q: A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a…

A: 1.Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the…

Q: In an article about the cost of health care, Money magazine reported that a visit to a hospital…

A: It is given that the mean is 328 and standard deviation is 92.

Q: If a golfer hit drives a golf ball with a mean of 180 yards and a standard deviation of 20 yards,…

A: We have given that  A golfer hit drives a golf ball with a mean of 180 yards and a standard…

Q: A study of Sandhill Cranes determines that the distance they travel a day is normally distributed…

A: According to the provided information, Mean (μ) = 267 Standard Deviation (σ) = 86

Q: Aaliyah is 74 years old. Based on a normal distribution with mean 47.8 and standard deviation 12.6,…

A: GivenAaliyah is 74 years oldx=74Mean(μ)=47.8standard deviation(σ)=12.6

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

A: We want to find the probability  P(xbar>30)

Q: If the normal operating life of a car is considered to be 150,000 miles, with a standard deviation…

A: The probability that a car will last 200,000 miles is calculated as follows:

Q: An insurance company wants to know if the average speed at which men drive cars is greater than that…

A:

Q: In determining automobile mileage ratings, it was found that the mpg in the city for a certain model…

A: a. Let x¯ be the mean mpg in the city which follows normal distribution. The mean of the sample mean…

Q: If the mean is two, the standard deviation is one, and a value for a normally distributed random…

A:

Q: The annual per caplta consumptlon of bottied water was 31.1 gallons. Assume that the per capita…

A: Given μ=31.1 and σ = 11  a)  P(more than 36) = P(x>36) Px-μσ>36-31.111 Pz>0.44 = 0.328

Q: An LED lightbulb manufacturer produces lights with a mean lifespan of 10,000 hours and a standard…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let X be the transport time. From the given information, X has mean µ=28 minutes and a standard…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let us denote: X=time to travel between University of Santo Tomas and Rizal ParkGiven that X follows…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 33.3 gallons Population standard deviation, σ = 12 gallons…

Q: assume that cans of coke are filled so that the actual amounts have a mean of 12 oz and a standard…

A:

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

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: the average time spent on a watching television in a state in the USA is 140 minutes the standard…

A: In question, Given that the average time spent on a watching television in a state in the USA is 140…

Q: The number of plants pollinated by bees follows a normal distribution with a mean of 6,543 plants…

A: Given information Mean µ = 6543 plants Standard Deviation σ = 35 plants

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: A spark plug manufacturer claims that the lives of its plugs are normally distributed with a mean of…

A: Let us denote: X= the lives of its plugs X follows a normal distribution with mean=60,000 and…

Q: The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested…

A: From the provided information, Mean (µ) = 27.8 Standard deviation (σ) = 4.2 X~N (27.8, 4.2)

Q: A recycling plant compresses aluminum cans into bales. The weights of the resulting bales are known…

A: From the given information, mean weights of the resulting bales is 100 lbs, standard deviation as…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=31 minutes and a…

Q: In a particular country, the height measurements of ten-year-old children are approximately normally…

A:

Q: In a murder trial in Los Angeles, a shoe expert stated that the heights of men with size 12 shoes is…

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 Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested…

A:

Q: In an article about the cost of health care, Money magazine reported that a visit to a hospital…

A:

Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 anda standard deviation of…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given distribution is normally distributed with mean 67 and standard deviation 3 x~N(μ=67, σ=3)

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.