A simple random sample of 100 water meters within a community is monitored to estimate the average daily water consumption per household over a specified dry spell. The sample mean and sample variance are found to be ȳ=12.5 and s2=1252. If we assume that there are N=10,000 households within the community, estimate μ, and place bound on the error of estimation.

Q: The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the…

A: Solution : Given that,          x =5.25σ =0.3μ=5.5n=16 (a) Test the Hypothesis :    H0 : μ=5.5…

Q: An air quality instrument logs 0 when standards are not met and 1 when standards are met.  First,…

A: When testing the hypothesis for population proportion, a binomial assumption is made. And if the…

Q: If the random variable X has an exponential distribution with rate parameter = 12.21 then, given…

A: We know that, Var(X2)= E(X4)-(E(X2))2 Given that X~exp(12.21) So E(X)=1/lembda 1/12.21 And…

Q: Consider the continuous random variable X = the weight in pounds of a randomly selected newborn baby…

A: Introduction: The empirical rule for a normally distributed random variable is as follows:…

Q: A Gaussian random variable with variance 10 and mean 5 is transformed to Y=e. Find the pdf of Y.

A: Solution-: Given: μ=5,σ2=10 Let, Y=eX Find pdf of Y?

Q: A mass-production line manufactures electrical heating elements with lifespans X; which have…

A:

Q: A regression analysis with formula y 30 • 2x has a standard error of 1, and a t-statistic of 2.0.…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given, σ2 =1.23           n =24           s2 =1.27    and α =0.05 Therefore  χCal2 =(n-1) s2σ2…

Q: You have given an entrance exam to 320 applicants to a university program. You only have the…

A: Applicants who scored above 50th percentile is accepted. Since 50th percentile = Median  Hence here…

Q: A random sample of size n = 17 is taken from a lognormal distribution with parameters u = 1.6 and o…

A:

Q: Find the MLE estimator of θ .

A:

Q: The average duration or labor from the first contraction to the bim of the baby in women over 35 who…

A: The given sample size is 33, sample mean is 16.9, sample variance is 20.3, and population mean is…

Q: } Let X. .... X, be a sample from a uniform distribution on [0, 0], where 0 e [1, 2] is an unknown…

A:

Q: between X and Y. If the variance of Z equals 0, then the value of r is - (round off to 2 decimal…

A:

Q: The distribution of weights (in pounds) of male students at a college is approximately normal with…

A: The mean is unknown, and the standard deviation is 15.3.

Q: The critical values associated with a 80% Cl for the population mean when x = 12.5, %3D n 13 and o…

A:

Q: A sample of 100 dry battery cells tested to find the length of life produced the following results :…

A:

Q: A medical researcher says that less than 86% of adults in a certain country think that healthy…

A:

Q: Consider a single station queue where the inter-arrival time of customers has a mean of 5 minutes…

A: Given: μ=5 minμ=4 per hour  W≈1μ+Cs2+Ca22λ1-ρρ2s+2

Q: The desired percentage of SiO, in a certain type of aluminous cement is 5.5. To test whether the…

A: Given that x bar=5.23

Q: between X and Y. If the variance of Z equals 0, then the value of r is (round off to 2 decimal…

A: HERE GIVEN FOR VARIABLE X AND Y MEAN=0.5  AND BOTH ARE EXPONENTIALLY DISTRIBUTED  SO…

Q: (b) The company will not adopt material 1 unless its mean breaking strength exceeds that of material…

A: Since you have asked for (B) prt so i have answered that part only. Thank you

Q: Q3: Let X1. , X, Binomail(1,0). (i) Show that B(1,0) is a member of the exponential class. (ii) Find…

A:

Q: given normally distributed sample x=12 and s=3, use the Empirical Rule determine the upper and lower…

A: According to the empirical rule,

Q: Given that the residual for each observation () is H; > 0, this means that Select one: O a.…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A mass-production line manufactures electrical heating elements with lifespans X; which have…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: st 15 years have shown that the average rainfall in a certain region of the country, for the month…

A: Given:n1=15n2=15x bar1=1.20x bar 2=1.35s1=0.45s2=0.54 The assumptions is of the normal populations…

Q: If Y1, Y2, ...,Yn denote a random sample from the normal distribution with mean u and variance o2,…

A: Y1, Y2, Y3,....,Ynare the sample of the normal distribution. The mean of the data is μ. The standard…

Q: If the variance of a continuous random variable X with pdf f(x) is noted as V(X), what is its…

A: Given: X had pdf f(x) and Variance of random variable X is - V(X)

Q: If X is a Poisson variate with mean 1, show that the standard Poisson variate X-1 is a variable with…

A:

Q: 18. Show that the mean value of the positive square root of a y (l) values is T T (1). Hence prove…

A:

Q: If Y1,...,Yn denote a random sample of sizenfrom the normal distribution with known mean μ and…

A: If Y1, Y2, Y3,...…,Yn denote a random sample of size n from the normal distribution  here, mean μ =…

Q: d. The probability that the wave will crash onto the beach between 0.2 and 3.3 seconds after the…

A:

Q: A quality-control technician collects a random sample of 10 rivets of four different suppliers and…

A: Given that, A quality-control technician collects a random sample of 10 rivets from each of four…

Q: 1. Calculate the Variance for each lake  2. Plug values into the t-test equation and find…

A: LSL LSP (x-xbar)^2 (y-ybar)^2 7.46 1.02 29.87716 0.039006 1.15 0.64 0.712336 0.033306 3.74 0.4…

Q: Let X be a normally distributed variable with a mean of 22 (a) What is the z value associated with…

A: Given data,Mean μ=22sd     σ=4

Q: Two independent samples are taken from two approximately normal populations to test Ho:H1 = µ2…

A: A hypothesis which is tested for plausible rejection is called the Null Hypothesis (typically…

Q: If x is a Poisson variate with mean m, what would be of e k where k is a constant. Find also the…

A:

Q: 2. Suppose that in a certain chemical process the reaction time y (hour) is related to the…

A: We have to answer questions based on simple linear regression method.

Q: Stock Y has a beta of 1.2 and an expected return of 11.4%. Stock Z has a beta of 0.80 and an…

A: Hsv

Q: A company specializing in building robots that clean your house has found that the average amount of…

A: Let A= average value E=marginal error B=correct value So, the range of B is: A-E≤B≤A+E

Q: Suppose that x has a beta distribution with parameters a = 2.4 and B = 1. Determine to 4 decimal…

A: Any real valued function defined from sample space corresponding to the probability is known as…

Q: Give the expected  oxygen consumption if the maximum pulse rate is 160 bpm

A: Here, the response variable ia oxygen consumption and independent variable is maximum pulse rate.

Q: Ex. Given a random sample of size n from a gamma population. use the method of moments to obtain…

A: X~Gamma(ɑ,β) We want to find the alpha and beta estimate by using method of moment.

Q: A sample of patients is tested to determine if they have any hospital borne infections. How large of…

A: The random variable X follows normal distribution. We have to find the sample size. This is z-test…

Q: i) Estimate the average repair cost for a month and place a bound on the error of estimation ii) How…

A: Mean=25×10+10×4+6×12+12×22+8×1510+4+6+12+8=250+40+72+264+12040=74640=18.65 Standard…

Q: Suppose X1, ...,  Xn have been randomly sampled from a normal distribution with mean 0 and unknown…

A:

Q: Let x, x, distribution with parameter 0. Find sufficient estimator for 'O’. ... x be a random sample…

A:

Q: 3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: -20 ()() + ()) 1…

A: Joint Probability Distribution: Let X and Y be two continuous random variables defined over the…

Q: The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular…

A: Given: X is a random variable of the amount of gravel (in tons) sold. The probability 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.