A pharmaceutical company produces capsules with active ingredient content that is normally distributed with a mean of 250 milligrams and a standard deviation of 15 milligrams. The manufacturer wishes to know what portion of their product is above a certain threshold due to a known toxicity risk at the recommended dosage frequency.   What is the probability a randomly selected capsule contains active ingredient content greater than 300 milligrams?

Q: Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

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

A:

Q: 4.The weights of bags of cookies are normally distributed with a mean of 15 ounces and a standard…

A:

Q: (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to…

A: X follows a Normal distribution with mean = 57 and S.D = 3.5 Then z=(x-mean)/SD = (x-57)/3.5…

Q: A company that manufactures and bottles apple juice uses a machine that automatically fills 16-ounce…

A: The amount normally distributed μ=16σ=1

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

A: Given that.   X~N( μ , ? )   μ=57     , ?=3.5   Z-score =( x - μ )/?   NOTE:- According to bartleby…

Q: The annual yield (expressed as a percentage) for all investments in a particular asset class in the…

A: We have given that  Normally distributed with a mean of 3.5% and a standard deviation of 1.5%.…

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

A: Mean, μ= 5.2 minutesStandard deviation, σ = 0.8 minute We have to find the percent of callers who…

Q: 3. A packaging system fills boxes to an average weight of 15 ounces with a standard deviation of 0.5…

A: Given  Population mean μ=15, standard deviations σ=0.5

Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: As per our guidelines we are suppose to answer  only three sub parts. Given,mean(μ)=56standard…

Q: 7. The nicotine content in a certain brand of cigarettes has a normal distribution with a mean…

A: GivenMean(μ)=1.4standard deviation(σ)=0.15

Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally​…

A: Normal distribution is the type of continuous distribution. Here most of the observations centred in…

Q: Estimate the probability that difference in sample means of 20 L cups and 25 M cups is within .25…

A: Let X1 be the random variable that amount of liquid for L. X1~N(μ1=27, σ1=0.8)  Let X2 be the random…

Q: The water content of soil from a borrow site is normally distributed with a mean of 13.2% and a…

A: Given information: The water content of soil from a borrow site is normally distributed with a mean…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: normal distribution μ = 10σ = 3

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Mean(μ)=11 standard deviation(σ)=3

Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: From the provided information, Mean (µ) = 56 Standard deviation (σ) = 3.2 X~N (56, 3.2) Here X be a…

Q: 12. An electrical firm manufactures a 100-watt light bulb, which, according to specifications…

A: The given data is as follows:Population mean, Population standard deviation,

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed,…

A: Given that Mean μ=27000 Standard deviationσ =24000 P(X < a) = 0.1(10%) P(X< a) =…

Q: 2. The line width for semiconductor manufacturing is assumed to be normally distributed with a mean…

A:

Q: 5. An industrial machine manufactures beams for sale whose length follows a normal distribution with…

A:

Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: It is given that the gas mileage for a hybrid car is normally distributed mean 56 and standard…

Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally​…

A: The mean is 34,000 and the standard deviation is 2400.

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Mean=10, Standard deviation=3

Q: Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients…

A: The random variable PEF in children with chronic bronchitis follows normal distribution. We have to…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given that the number of pizzas consumed per month by university students is normally distributed…

Q: What is the probability that a battery lasts more than four hours? b. What are the quartiles (the…

A: Let X denote the time until recharge for a battery. Given that X follows N(mean = 260, SD = 50),…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Let X be the random variable from normal distribution with mean (μ) = 14, standard deviation (σ) = 5…

Q: 1.A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Normal distribution :  Mean = 6  Standard deviation = 2  First we will calculate Z-score Z =…

Q: Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the…

A: In this context, X denotes the amount of juice. It is known that X follows a normal distribution…

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.