Suppose that the lifetime of a particular component of a battery (in a container) is known to be approximately normally distributed with the mean 500 hours and standard deviation 50 hours. A purchaser requires at least 95 percent of them to have a lifetime greater than 399 hours. Will the component of a battery (in a container) meet the purchaser's specification?

Q: Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

A:

Q: The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the…

A: According to the provided information, wristwatch X~N(25, 5)

Q: The distribution of the number of months in service for the fleet of cars is bell-shaped and has a…

A: From the provided information, Mean (µ) = 51 Standard deviation (σ) = 7 Let X be a random variable…

Q: A study finds that the carapace length of an adult spider is normally distributed with a mean of…

A:

Q: Suppose that the amount of time (in hours) that it takes for a phone to fully charge has a normal…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: The total time taken to assemble a car in a certain plant is normally distributed with a mean of 20…

A:

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The random variable X is the average of the 49 races. The mean is 142, and standard deviation is 13.…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: When designing equipment, one common criterion is to use a design that accommodates 95% of the…

A:

Q: A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750…

A: Let "X" be the manufacturer advertising for these batteries. Find z-value: Refer Standard normal…

Q: A study found out that for a particular area, the average income per family is $24596 and the…

A: Solution

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: From the provided information, Mean (µ) = 116 Standard deviation (σ) = 14 X ~N (116, 14)

Q: n a mid-size company, the distribution of the number of phone calls answered each day by each of the…

A: Given that, Mean = 39 Standard deviation = 7

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8…

A: Let us denote X= life span Given that X follows a normal distribution with mean= 7.8 years and…

Q: The time required for a person to complete the 2020 U.S. Census “long” form is normally distributed…

A: Let X be the census long form  X~N(μ=40, σ=10) P(X≥a) =10%  We want to find the value of a

Q: Suppose that a highly selective college desires to admit students based on their performance on an…

A: Given information- Population mean, µ = 1000 Population standard deviation, σ = 200 Let, X be the…

Q: Suppose that in a given semester, the MEAN of units taken by students at Delta is 17 and has a…

A:

Q: Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average…

A: Mean = 145 Standard deviation = 14 Sample size = 49

Q: If a wildlife service wishes to estimate the mean number of days of hunting per hunter for all…

A: Following information is given. Confidence level is 96% Error bound = 2 population standard…

Q: Suppose the birth weights of babies in a particular country are normally distributed with a mean of…

A: Answer:

Q: Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle…

A: Solution: Let X be the waiting time for a license plat renewal at a local office of a state motor…

Q: Suppose a scheduled airline flight must average at least 64% occupancy in order to be profitable to…

A: From the provided information, Sample size (n) = 120 Sample mean (x̄) = 60 Standard deviation (s) =…

Q: If the mean asset turnover for retail firms is 1.91 with a standard deviation of 0.23, without…

A:

Q: The time that a customer takes to complete a transaction in a business line at the bank follows a…

A: Given data,Mean μ=5.4sd    σ=1.7How many minutes will 20% of the customers spend completing a…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: Mean = 144 Standard deviation  = 27

Q: Suppose that the newborn weights are normally distributed with a mean of m kg and a standard…

A: We have given that  Mean(µ) = mStandard deviations (σ) = 0.8

Q: Suppose a company produces llghtbulbs with a mean lifetime of 1000 hours and a standard deviation of…

A: The z score formula is:

Q: Assume the annual day care cost per child is normally distributed with a mean of $6000 and a…

A: Let, X=annual daycare cost per child Given that X is normally distributed with mean= 6000 and…

Q: a life time of a certain brand of tires is approximately normally distributed with a mean of 42,500…

A: Given information- Population mean, µ = 42,500 miles Population standard deviation, σ = 3200 miles…

Q: Suppose an LED light manufacturer want to set a lifespan guarantee on its new LEDlight. Life test…

A: Solution: Let X be the lifespan guarantee on its new LED light. From the given information, X…

Q: Suppose a paint manufacturer has a daily production, x, that is normally distributed with a mean of…

A:

Q: Assume the annual salaries of police officers are normally distributed with a mean of $45,000 and a…

A:

Q: Assume the hold time of callers to a cable company is normally distributed with a mean of 5.2…

A: Given that.   X~N( μ , ?^2 )   μ=5.2    , ?=0.9   Z-score =( x - μ )/?

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and…

A: As the population standard deviation is known, it can be said that the distribution follows a normal…

Q: Suppose that the amount of time per day that American adults spend on their mobile devices is…

A: The following information has been given: The population mean is μ=229. The population standard…

Q: Suppose that the daily viewing time is normally distributed with a mean of is 8.35 hours and a…

A: Determine the number of hours of television viewing must a household have in order to be in the top…

Q: Assume the annual day care cost per child is normally distributed with a mean of $7000 and a…

A: Given information: Given that the annual day care cost per child is normally distributed with mean m…

Q: When solar panels rated at 270 watts of power are manufactured, the power of the panels is not…

A: It is given that the distribution is normally distributed with a mean of 270 watts and a standard…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years,…

A: From the provided information, Mean (µ) = 7 years Standard deviation (σ) = 1.9 years X~N (7, 1.9) X…

Q: Suppose that the volume of sound generated by heavy machinery in a factory is normally distributed,…

A: Consider X be a random variable which follows normal distribution indicates volume of sound…

Q: Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the…

A: Given,mean(μ)=72standard deviation(σ)=3

Q: A non-symmetric dataset has a mean of 200 and a standard deviation of 15.  Find an upper bound for…

A: Given: μ = 200 σ = 15 Solution: First calculate one sigma limit  μ ± σ = 200 ±15=185, 215 Two sigma…

Q: An air condition company will spend an average of 64 minutes with a standard deviation of 19 minutes…

A:

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given: Mean = 24 Standard deviation = 6

Q: If batteries have lives that are normally distribute with mean 2, 800 hours and standard deviation…

A: Given that, Mean = 2800 Standard deviation = 400

Q: percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use…

A: here given  Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per…

Q: Assume that the weekly sales revenue (in thousand pesos) of major markets is normally distributed…

A: i) Given information: μ=172σ=30 The percentage of such revenues between 190 and 220 is,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9…

A: Obtain the 2% of items with the shortest lifespan will last less than number of years. The 2% of…