Let X1, X2,..., X3 denote a random sample from a population having mean u and variance o?. Which of the following is/are unbiased estimator/s of u? X,+X2+.+X, 7 2X1-X6+X4 2 3X,-X3+X4 2 2(X,+X2+..+X,) 04 7

Q: If each of the observatiobs a1,a2,a3 is ibcreasedby x ,where x can be pos or neg How will variance…

A: Variance is independent of change of origin but not on scale.  It mean if we increase or decrease by…

Q: Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Ann is a buyer for a…

A: given data puma tiresx¯1  = 54.71s12 = 5.95n1 = 14eternal tiresx¯2  = 50.21s22 = 37.75n2 = 15α =…

Q: 下riday Day of the Week no. of unit sol0 mon tue wed 4 Thu Sat dNT 3 Sunday 3.

A: Solution-: Let, X-be the number of unit sold We have following table: Day of the week X Monday…

Q: A dietician is researching two new weight gain supplements that have just hit the market: Ripped and…

A:

Q: a) A manager of a computer store knows that 19% of PC sold out returned to his store for repair…

A: Answer: Given that: p=0.19 , n= 5 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: If all possible random samples of size =44 are selected from a population with 70 and a 8, and the…

A: CEntral limit theorem: For a population with mean μ and a standard deviation σ, the distribution of…

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: Suppose that for a particular computer salesperson, the probability distribution of x = the number…

A:

Q: Suppose a population has 6 elements: 1, 2, 3, 4, 5, 6 with variance of 2.9166. If we sample with…

A: We have to find variance of sample mean..

Q: Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Rita is a buyer for a…

A: Step 1: The data of two independent samples is given as Group-1: Puma tiresGroup-2: Eternal…

Q: Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Isabel is a buyer for…

A: In test of hypotheses, Critical Values are the cut-off values that provide with the regions in which…

Q: Two independent random variables X and Y have 36 and 16.Find the correlation co-efficient between…

A:

Q: Suppose you have a loaded coin that when flipped is Ekely to land on heads about 60% of the time,…

A:

Q: Q9. What is the probability that a randomly chosen number among these data points is between 95 &…

A: Given that, Total number of data values nS=16

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99 and a mean…

A: Sample size n=72Population mean=207Population variance=9Population standard deviation=√variance=√9=3

Q: THE NUMBER OF CUSTOMERS SERVICED BY 3 PARLORS. Number of Customers(X) Spa A PCX) 0.37 Spa B POX) 0.3…

A: Given : The no. of customers serviced by 3 parlors  Here find the population variance of Spa C So ,…

Q: Find the variance of the weight of all the beans in a box. Please provide where did you get the…

A: Farmula used V(nY)=n2V(Y)

Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

Q: If the random variable x is distributed through the Binomial(n,0.5), if the mean of x =3,then the…

A: We have to find variance of x...

Q: c) Following data was collected to study the effects of training on duration of unemployment. Let X…

A:

Q: Draw all possible samples each of size 2 from the population 12, 6, 24, 30, 18 using sampling with…

A: Given Population size= 12, 6, 24, 30, 18  sample size=2

Q: Suppose data X1, ..., Xn are sampled from the population, sample mean is a random variable

A: It is given that Sample : x1, x2,......,xn

Q: What is the probability that x will be between 75 and 78 if random sample of size 100 is taken from…

A: h

Q: Mean of (18,4,12,17,22,6 27,14)

A: We have to find the mean of the following numbers -  18,4,12,17,22,6,27,14 The formula for mean is…

Q: Prove that average reduces Variance

A: Hint: The average is the mean of all observations. It gives the central value of the data. The…

Q: Let X₁, X2, X, be normal random variables with mean and variance 2. What are the method of moments…

A: X~N(μ,σ2)

Q: Here are ten scores: 23, 35, 9, 13, 56, 67, 45, 44, 55, 52 Assume you calculated the variance of…

A: Given data, 23 , 35, 9, 13, 56, 67, 45, 44, 55, 52sample size(n)=10sample…

Q: The following table gives the outputs of 3 years for a farm that uses 3 types of fertilizers,…

A: Given: Level of significance = 0.05   x1 x2 x3 year1 10 42 54 year2 22 47 61 year3 28 31…

Q: Suppose the weights (in pounds) of eight rowers on each of the Cambridge and Oxford crew teams are…

A: To test the hypothesis that the mean weights of the populations of rowers on the Cambridge and…

Q: Suppose that Max is a climate change scientist and butterfly enthusiast. In Max's locale, the mean…

A: The distribution is normal and the population standard deviation is unknown so the t distribution…

Q: In every ESST 3002 lecture, each student spends an average of 10 minutes on social media instead of…

A: Mean()=10Variance()=4standard deviation()==2sample size(n)=10

Q: Find the variance in classified data set (k=5) Sınıflandırılmış verilerde varyansı bulunuz (k=5) 17…

A: calculation variance for classified data as follows, xi xi-mean (xi-mean)^2 17 -24.65 607.6225…

Q: Which branch of statistics allows us to use samples to make generalizations about the populations…

A: The objective is to identify the branch of statistics that allows us to use samples to make…

Q: A bag contains seven balls numbered 1,2,3,3,3, and 4. Let X be the random variable representing the…

A: Given : A bag contains seven balls numbered 1,2,3,3,3, and 4.

Q: wo suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears…

A: Given, A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another…

Q: 1. One-way analysis of variance is used to test equality of means among more than two populations.…

A: F- statistic is ratio of two variances which is use to check is the variation between the means of…

Q: If two samples have the same n, then the pooled variance will be the average of the two sample…

A: Statement: " If two samples have the same n, then the pooled variance will be the average of the two…

Q: Let x be a random variable that represents the pH of CVS brand water. The mean of this x…

A: Given: μ = 6.5 n = 70 X = 7.2 s = 2.5 α = 0.05 Formula Used: Test-statistic t = X-μsn

Q: Suppose that X1, X2, X3 and X4 are all independent random variables, each with a normal…

A:

Q: 5. Given that the final grades for 1000 students are normally distributed with mean 70 and variance…

A: The mean and variance is μ=70 and σ2=100 respectively. The probability that one student got more…

Q: which of the following excel functions would you use to answer this question "Is the number if…

A: We are asked about which test will be used for comparing the number of applications accepted for…

Q: Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal…

A: We want to find the probability

Q: 2. A population has member numbers 2, 4, 6, 8, 10, 12. Then 2 samples are taken at random and…

A:

Q: Let x be a random variable that represents the pH of CVS brand water. The mean of this x…

A: The random variable pH level follows normal distribution. We have to test whether the new company’s…

Q: Rods are produced in large quantities in a factory. The masses of these rods are normally…

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