A machine that manufactures automobile pistons is estimated to produced a defective piston 3% of the time . Suppose that this estimate is correct and that a random sample of 80 pistons produced by this machine is taken. Answer the following. (a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution ( that is the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

Q: Suppose that a recent poll found that 65​%of adults believe that the overall state of moral values…

A:

Q: To avoid unpleasant surprises when the statement comes, you try to record all your credit card…

A: Given, n = 25 p = 0.05       To find, Compute the standard deviation of X.

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A: Here, margin of error is 4 and standard deviation is 21. We will find sample to help of margin of…

Q: The average weekly starting salary of computer programmers in a city is $750 (that is μ) with a…

A: μ=750, σ=40, N=3000, n=64

Q: The owner of a fish market has an assistant who has determined that the weights of rainbow trout are…

A: Mean(µ) = 3.6Standard deviations (σ) = 1.2n = 16

Q: Find the probability that a single randomly selected valúe is less than 30. P(X < 30) = Find the…

A:

Q: A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that…

A: GivenConfidence level=99%Margin of error(E)=5standard deviation(σ)=22

Q: Suppose that a recent poll found that 47% of adults believe that the overall state of moral values…

A: Given a recent poll found that 47% of adults believe that the overall state of moral values is…

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an…

A:

Q: A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the…

A: From the provided information, Sample size (n) = 80 Defective rate (p) = 0.03

Q: A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that…

A: The given margin of error is 5, population standard deviation is 20 and confidence level is 90%.

Q: A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the…

A: The given scenario follows binomial distribution with n=80 and p=0.03.

Q: An automobile insurer has found that repair claims are Normally distributed with a mean of $940 and…

A: Given information- Population mean, µ = $940 Population standard deviation, σ = $900 Let, X, be the…

Q: A grocery store manager states the the weight of an apple in ounces follows an unknown distribution…

A: the weight of an apple in ounces follows an Unknown distribution with Mean(μ)=7.5 standard…

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A: The objective is to define the type-I and type-II error, that arises when the validity of the claim,…

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A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an…

A: n=38

Q: The mean cost to Metropolis of an insured hospitalized influenza patient is $5634 with a standard…

A: Given, The mean cost to Metropolis of an insured hospitalized influenza patient is $5634 with a…

Q: According to historical data, 80% of all people hit by lightning are men. Suppose a random sample of…

A: given data, p=0.80q=1-0.80=0.20n=200we have to find out the given probabilty for the normal…

Q: An opinion poll asks a sample of 1000 adults whether they favor giving vouchers for education. If…

A: From the provided information, Sample size of adults (n) = 1000 48% of the population favours the…

Q: ze needed in order for you to be 90% confident that your estimate is within 4 of u? Use the value 23…

A: Given ME=4 Population standard deviation=23 Sample size=n

Q: Suppose there is a cdaim that a certain population has a mean, u, that is equal to 9. You want to…

A:

Q: A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a…

A: Let X denote weight of apples. X ~ N(7,1.8) The manager is going to randomly select 36 apples and is…

Q: A rainstorm in Portland, Oregon, wiped out the electricity in 7% of the households in the city.…

A: Given that  n = 70 , p = 7% = 0.07 , q = 1 - p = 1 - 0.07 = 0.93 X ~ Binomial (n = 70 , p = 0.07) p…

Q: Suppose that the New England Colonials baseball team is equally likely to win any particular sample…

A: The baseball team is equally likely to win any particular game as not to win it.Sample size

Q: A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a…

A: Given that the mean weight of 7 ounces and standard deviation of 1.8 ounces.  That is, μ=7 and σ =…

Q: A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the…

A: a) Suppose a random variable X, defines that the number of defective pistons.

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A: It is given that the There are a total of 1000 customers in the test data and it is known that there…

Q: You have a coin that is not weighted evenly and therefore is not a fair coin. Assume the true…

A: Solution-: Given: p=0.55,n=66 We find, (a) μp^=? (b) σp^=? (c) σp^2=?

Q: (a) Estimate the number of households in the sample that lost electricity by giving the mean of the…

A: Here we have given the information,A rainstorm in Portland, Oregon, wiped out the electricity in 10%…

Q: Let x be a random variable representing the starting salary of a first-year teacher in a city.  A…

A: Given that  Sample size n =20 Sample mean=51425 Standard deviation =3549

Q: Suppose that recent poll found that 51% of adults believe that the overall state of moral values is…

A: Let there are n trials and each has two outcomes Success and Failure. The trials are independent and…

Q: The mean cost to Metropolis of an insured hospitalized influenza patient is $5634 with a standard…

A: Given, The mean cost is 5634 and standard deviation 1204 mg. We take random sample of size 28900.

Q: A rainstorm in Portland, Oregon, wiped out the electricity in 5% of the households in the city.…

A: Let X be the random variable from binomial distribution with probability (p) = 5% = 0.05 and sample…

Q: Let x be a random variable representing the SAT math score of student. We may assume that x has a…

A:

Q: uppose that a recent poll found that 53​%of adults believe that the overall state of moral values is…

A: Given data, p=53%=0.53 n=400 Compute Mean and Standard deviation.

Q: A rainstorm in Portland, Oregon, wiped out the electricity in 5% of the households in the city.…

A: Given : Sample size = 80 Sample proportion = 0.05

Q: Suppose that a recent poll found that 46​% of adults believe that the overall state of moral values…

A: Give that, Probability, p= 46%  = 0.46  And we've to find for 200  So , sample size, n= 200

Q: A sample of size n=5 is selected from a population. Under what conditions is the sampling…

A: Here, sample size is small. If the population is normal then the sampling distribution also normal,…

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.