An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars are normally distributed with a mean mileage per gallon (mpg) of 36.8 and a standard deviation of 1.3(a) What is the probability that one of these cars will have anmpg of more than 37.5?(b) What is the probability that one of these cars will have anmpg of less than 35? (c) What is the probability that one of these cars will have anmpg of less than 40?

Q: An elevator has a placard stating that the maximum capacity is 1824 Ib-12 passengers, So, 12 adult…

A: We have, X= weight of adults Mean=161 Standard deviation is=34 We want to find, the probability that…

Q: manufacturer of light bulbs produces bulbs that last a mean of 950 hours with a standard  deviation…

A: To find the probability that the mean lifetime of a random sample of 10 of these bulbs is less than…

Q: The fares received by Uber Drivers working in the City line are normally distributed with a mean of…

A: Let X be a continuous random variable of fares received by Uber Drivers working in the City line are…

Q: The average weight of a certain machined part is 475 grams, with a standard deviation of 5 grams.…

A:

Q: On average, the printer uses 500 sheets of paper each day with a standard deviation of 10 sheets.…

A: Given mean= 500 and standard deviation= 10 Let, X= number of sheets used by the printer  X follows…

Q: It has been observed that the net amount of soda in such a can has a normal distribution with a mean…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

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

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given information- Population mean, μ = 1.8 pounds Population standard deviation, σ = 1.02 pounds We…

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: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A:

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: We want to find the probability of sample mean is 1.77 or more  P(x̄≥1.77)

Q: Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia,…

A: Given: X~N(μ,σ)μ=88σ=6.4

Q: The amount of time spent by North American adults watching television per day is normally…

A: We have given that  Sample size n= 5  Population mean = 6 Population standard deviation = 1.5…

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A: Let X be the height of a woman aged 20-74 years which follows normal distribution with mean 64…

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 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: For women aged 18-24, systolic blood pressures ( in mm Hg) are normally distributed with a mean of…

A: Given information- Population mean, µ = 114.8 Population standard deviation, σ = 13.1 Let, X be the…

Q: Researchers found that boys playing high school football recorded an average of 355 hits to the head…

A: Given Mean=355 Standard deviations=80

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given data,Mean μ=1.8standard deviation σ=1.02If n=55P(X<1.9)=?

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: According to a report from a business intelligence​ company, smartphone owners are using an average…

A: Mean(μ)=22standard deviation(σ)=7sample size(n)=25

Q: Medical research has concluded that people experience a common cold roughly two times per year.…

A:

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 a report from a business intelligence​ company, smartphone owners are using an average…

A:

Q: An elevator has a placard stating that the maximum capacity is 2430 lb-15 passengers. So, 15 adult…

A: μ = 171 , σ= 32 , n=15z =x -μσn ∧ N (0,1)

Q: The starting salaries of individuals with an MBA degree are normally distributed with a mean of…

A:

Q: What is the probability that a randomly chosen light bulb will have a lifetime of more than of 1,000…

A: Let X denote the lifetimes of the light bulb produce by Flip Company. Given that X follows N(mean =…

Q: A certain pharmacy sells facemask by the box. Since the pandemic, the demand for these facemasks can…

A: The given average number of boxes sold on a typical day i.e. μ=140 And the standard deviation σ=24…

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

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given values, μ=1.75σ=1.02x¯=1.68n=60

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given information- Population mean, μ = 1.75 pounds Population standard deviation, σ = 0.95 pounds…

Q: The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. 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: A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a…

A:

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A: Given that: X is normal Distributed with mean                   µ = 64.0 and standard deviation σ =…

Q: In a study of long distance telephone calls, it was found that the lengths of the calls are normally…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

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 producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Here, µ= 1.8 , σ= 1.05.

Q: The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks)…

A:

Q: The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A…

A:

Q: Among the female in a certain country between the age of 18 and 74 years of age, diastolic blood…

A: (i)   Obtain the probability that a randomly selected woman has diastolic blood pressure less than…

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

A:

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

A: Population mean (u) = $ 85600 Standard deviation = $ 22400 P( 75000< x < 95000) = ????  By…

Q: what is the probability that the mean weight loss after one week on this pill for a random sample of…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given Sample size=n=55Sample Mean=x¯=1.7Population Standard deviation=σ=0.95Population mean=μ=1.8

Q: According to a report from a business intelligence​ company, smartphone owners are using an average…

A: Given that   μ = 22σ= 7n =144we need to calculateP (21.5 < X < 22.5)

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.