What is the distribution of x¯? x¯ ~ N(,) For a single randomly selected movie, find the probability that this movie's production cost is between 60 and 62 million dollars.  For the group of 12 movies, find the probability that the average production cost is between 60 and 62 million dollars.  For part d), is the assumption of normal necessary? No Yes

Q: In 2008, the per capita consumption of soft drinks in Country A was reported to be of 18.56 gallons…

A: Given,  Mean, μ=18.56 Standard deviation, σ=5 X~N(μ, σ)Z=X-μσ

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

A: Mean=100, sigma=sd=15 We want to find the probability from normal distribution table.

Q: The daily sales at a convenience store produce a distribution that is approximately normal with a…

A:

Q: The size of shrimp influences the number of shrimp in each packaging. By definition, jumbo shrimp…

A:

Q: An adult has on average 5.2 liters of blood. Assume the variable is normally distributed and has a…

A:

Q: If the average milkfat content in a gallon of whole milk is 3.25% with a standard deviation of .2%,…

A:

Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…

A: Given that the travel time from Beltway 8 to Downtown is approximately normal with mean, μ= 29.5 and…

Q: On a dry surface, the distribution of the braking distances (in meters) of Honda Accords can be…

A: Given that, On a dry surface, the distribution of the braking distances (in meters) of Honda Accords…

Q: A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can…

A: As per our guidelines, we are allowed to answer first question only. Thanks   a) Given : Population…

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

A:

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

A: According our policy we can answer only first three subpart for remaining please repost the…

Q: The amount of water in a bottle is approximately normally distributed with a mean of 2.75 liters…

A: X~N(μ= 2.75 , σ= 0.045 ) Formula for Z-score Z=(X-μ)/σ

Q: The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a…

A: Given that mean =42.8,s.d=0.035

Q: The average daily high temperature in June in LA is 77℉ with a standard deviation of 5℉. Suppose…

A: Solution: Let X be the LA’s temperatures in June. From the given information, X follows normal…

Q: The time required to travel downtown at 10 a.m. on Monday morning is known to be normally…

A: Given: Meanμ=40 minutes Standard deviationσ=5 minutes The probability that time taken will be less…

Q: The average battery life of laptop computers is 5.8 hours with a standard deviation of 1.4 hours.…

A: We have given that , Mean = 5.8 , Sd = 1.4 , We need P(X>8) = ?

Q: The amount of water in a bottle is approximately normally distributed with a mean of 2.50 liters…

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The average number of liters of fresh milk that a person consumes in a month is 18 liters. Assume…

A:

Q: The heights of all female students in a university are normally distributed with a mean of 156 cm…

A:

Q: In Ventura County, the height measurements of ten-year-old children are approximately normally…

A: Hi, we are supposed to answer three subparts at a time. Since you have not mentioned which question…

Q: The heights of adult males are known to be normally distributed with a mean of 70 inches and a…

A: Answer 1 of 1We are given the heights distribution here as:X ~ N(u = 70, sigma = 2)a) The…

Q: The amount of time between taking a pain reliever and getting relief is nomally distributed with a…

A: Let "X" be the time between taking the medication and getting relief.

Q: The time it takes an acrylic paint to dry is normally distributed. If the mean is 2 hours 36 minutes…

A: Convert every information in minutes, so given that X , drying time, follows a normal distribution…

Q: The amount of water in a bottle is approximately normally distributed with a mean of 2.55 liters…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.11 gallons…

A: The mean is 18.11 gallons and the standard deviation is 5 gallons.

Q: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a…

A: From the provided information, Mean (µ) = 5 minutes Standard deviation (σ) = 2 minutes Let X be a…

Q: A recent survey shows that the average of American household’s annual expenditure on coffee is…

A:

Q: In a recent year, the scores for the reading portion of a test were normally distributed, with a…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

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

A: We have given that,  X be the random variable from the normal distribution with mean (μ) = 100 and…

Q: The amount of time spent commuting one-way to university by students follows a normal distribution…

A: Given X is normal Distributed with mean µ = 22.0 and standard deviation σ = 7.0 now will using…

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

A: Given Data: Let X represent the monthly data Mean=100 SD=15   X~ Normal (100, 152)

Q: The average number of liters of fresh milk that a person consumes in a month is 18 liters. Assume…

A: The z-score is for sample is calculated asz=M-μσ/n

Q: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a…

A: We have,  The length of the time are normally distributed with mean (mu) = 4 minutes and standard…

Q: The weight, in kilograms, of cereal in a box, can be modeled by a normal distribution with Mean ?…

A: a)

Q: A normal distribution has a mean of μ = 54 and a standard deviation of σ = 6. What is the…

A: Given: μ = 54σ = 6 Z score for X : z=x-μσ Z score for M: z=M-μσn

Q: certain​ survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the…

A: From the available information, Population mean, population standard deviation, Sample size,n=40…

Q: A brand of water-softener salt comes in bags marked “net weight 18kg”. The company that packages the…

A: Standard normal table has used to calculate probability.

Q: The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation…

A: Given that, Mean = 3.41 Standard deviation = 0.02

Q: The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. Assuming…

A:

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 527…

A: Let x¯ denotes the mean weights of cow. The mean is 527 pounds, standard deviation is 72 pounds. The…

Q: The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these…

A: It is given that: Population mean weightμ=885 Population standard deviation weightσ=20 Sample…

Q: The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a…

A: The provided information are: mean=μ=32.3 standard deviation=σ=1.2 to calculate the probability…

Q: ) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard…

A:

Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…

A: Given that mu =29.5,s.d=11.2

Q: The GMAT scores of all examinees who took that test this year produced a distribution that is…

A: Let X be the GMAT score of examinees who took the test this year which follows normal distribution…

Q: The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the…

A:

Q: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a…

A:

Q: The amount of water in a bottle is approximately normally distributed with a mean of 2.50 liters…

A: Given Information: Mean value (u) = 2.50 liters Standard Deviation (s) = 0.025 liters

Q: The weight of adult male rhesus monkeys is normally distributed, with a mean of 15 pounds and a…

A: We have given that  Mean=mu=15 Standard deviation=sigma=3 X~Normal(mu=15,sigma=3) Find…

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.