7. A factory is producing packs of potato chips using two machines, A and B, only. It is known that the weights of the packs of potato chips produced by machine A follow a normal distribution of mean 79.8 g and standard deviation 0.6 g, while the weights of the packs of potato chips produced by machine B follow a normal distribution of mean 80.1 g and standard deviation 0.5 g. It is known that about 42% of the packs of potato chips produced by this factory weigh less than 79.9 g. (a) A pack of potato chips is randomly chosen from the outputs of machine A. Find the probability that it weighs less than 79.9 g. (b) A pack of potato chips is randomly chosen from the outputs of machine B. Find the probability that it weighs less than 79.9 g. (c) A pack of potato chips is randomly chosen from the outputs of this factory and is found to weigh less than 79.9 g. Find the probability that it was produced by machine A.

Q: 9. Suppose that systolic blood pressures of a certain population are normally distributed with a…

A:

Q: Suppose a paper reported that the freshman year weight gain for the students in a representative…

A: (a). Explain the reason for the distribution of weight gains for the population of freshmen students…

Q: 3. An investigator theorizes that people who participate in a regular program of exercise will have…

A:

Q: In 1999, the murder rates (per 100000) for the 50 states and the District of Columbia had a mean of…

A: Given mean is 5.9 and standard deviation 6.3 sample size is 5

Q: 8. A sociologist focusing on popular culture and media believes that the average number of hours per…

A: Given : Mean : d = X1 - X2    = 1 σ1 = 2.3σ2 = 2.5 σd = σ12n1+σ22n2     = 2.3250+2.5250= 0.2308=…

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: x represents a random variable with mean 144 and standard deviation 36, then the standard deviation…

A:

Q: teacher administers a midterm examination in which the grades are normally distributed with mean 42…

A:

Q: Suppose that the weights of 3200 registered female Great Danes in the United States are distributed…

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

Q: If x represents a random variable with mean 110 and standard deviation 14, then the standard…

A: If x represents a random variable with mean 110 and standard deviation 14. μ=110σ=14 sample…

Q: 2. From a random sample of 10 students in a production management class, that covers a project…

A: Given,

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: We know by empirical rule that; If, X~Normal(μ,…

Q: rer of a certain brand of automobiles component claims that mean life of these component is 70…

A: Note: As per the guidelines, we are only allowed to solve 1 question please post the other questions…

Q: Suppose that we randomly select a sample of 80 measurements from an infinite population having a…

A: 1) Given: Mean μ=30 Standard deviation σ=5 Sample size n=80

Q: 9. The Taylor Steel Company wants to determine whether there is a significant difference in…

A: Solution: Given information: n1= 130 Sample size of day shiftn2= 120 Sample size of night shiftx1=…

Q: 2- Bob takes on average of 50.5 hours uniformly distributed to to finish a portrait in his studio…

A: Given information- Population mean, µ = 50.5 hours Population standard deviation, σ = 10.5 hours…

Q: Suppose the weight of hummingbirds are distributed normally with a mean of 25 oz and a standard…

A: Obtain the probability that a randomly selected hummingbird weighs more than 28oz. The probability…

Q: 4) An investor is trying to decide between 2 mutual funds. Mutual fund #1 offers a slightly higher…

A:

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

A: Answer:

Q:

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

Q: ppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a…

A: Given data,Mean μ=8.42sd    σ=1.52P(6.9<X<9.94)=?

Q: If x represents a random variable with mean 125 and standard deviation 36, then the standard…

A: For a random sample of 81, X –bar follows normal with mean value of 125 and standard deviation of 4.…

Q: The number of people sick from imported meat products in a certain city was found to be normally…

A: Given that, The number of people sick from imported meat products in a certain city was found to be…

Q: Suppose that the incomes of all people in the United States who own hybrid (gas and electric)…

A: According to the central limit theorem, when a sample of size n is drawn from any population with…

Q: 3. A mathematics professor wants to determine whethern there is difference in the final averages…

A: From the provided information,

Q: If x represents a random variable with mean 137 and standard deviation 35, then the standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: 3. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

A: Given mean μ = 215standard deviation σ = 15we need to calculate two parts of probability

Q: 1. The lifetimes of a certain brand of LED light bulbs are normally distributed with a mean of…

A: Let X represents the lifetime of a certain brand of a LED light bulbs. Therefore X ~ normal…

Q: Suppose that an airline uses a seat width of 17.1in. Assume men have hip breadths that are normally…

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: Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was…

A: Given that: X is normally Distributed with mean µ = 13.3 and standard deviation σ = 1.9 By using…

Q: Consider a population of 1024 mutual funds that primarily invest in large companies. You have…

A: We want to find the range in part(c)

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: Formula of Normal Distribution: f(x)=1σ2πe-x-μ22σ2 where μ=mean σ=Standard deviation

Q: Suppose that the quarterly price, X, of the stock of Company ABC is Normally distributed with mean…

A: Let X: the quarterly price of the stock of company ABCX~N(μ,σ)where mean (μ)=2.0and standard…

Q: If the weights of students at A&M are normally distributed with a mean of 160 and a standard…

A: Given: μ = 160 σ = 25

Q: Assume the number of physical damage losses for houses as a result of hurricane Irma in Barbuda is…

A:

Q: In an test attended by 1500 people, a distribution with a grade point average of 58 and a standard…

A: Population Mean = 58 Variance = 6.8 Sample 10 = 250 people Population = 1500 people Standard normal…

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: since multiple parts are given , first 4 subparts are answered. kindly repost for more help .

Q: ample of 22 randomly selected accounts, what is the distribution of the sample mean? What are the…

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

Q: For Company A there is a 60% chance that no claim is made during the coming year. If one or more…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Suppose the statistics department at a large midwestern university has offered the same course in…

A:

Q: Group A has 12 people and it is a random sample and they have an average heart rate of 100 and their…

A:

Q: Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and…

A: Sampling distribution is the probability distribution of  a sample statistic (sample mean, sample…

Q: If the mean and standard deviation of cell sap values for healthy plants are 120 and 15 micrograms…

A: According to central limit theorem, the sampling distribution follows the normal distribution if the…

Q: Suppose a certain population of observations follows a bell-shaped distribution. Based on the…

A: We need to recall that  bell shaped distribution is symmetric about the mean μ. Suppose σ is the…

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: Hey, since there are multiple subpart questions posted, we will answer first three subpart…

Q: I need help for all those questions.

A: Z score Computation can be done  using standard formula as shown below.

Q: For drivers in the 20-24 age bracket, there is a 34% rate of car accidents in one year (based on…

A: Solution: 1. Let X be the number of car accidents in one year and n be the sample number of people…

Q: return must his fund have?

A: Let , X→N(μ=9.9% , σ=3.7%) We have , P(X>x)=0.10 We want to find the value of 'x' i.e. highest…

Q: 1. Shinwa Company claims that the life of their battery product is approximately normally…

A: Note: According to our guidelines we can answer only first question and rest can be reposted. Thank…