sample of size 50 is taken from a continuous uniform random varlable with parameters 1 and 39. What is the varlance sample mean,

Q: Consider drawing a random sample of size n 2 units from a finite population with sampling units {1,…

A: Given problem is :

Q: A factory produces 1000-ohm (R) resistors that have 15 percent tolerance. Let X denotes the…

A:

Q: Let x be the observed mean of a random sample of size n from a distributionhaving mean μ and known…

A: Confidence interval on μ is given by  x¯-za2σn≤μ≤ x¯+za2σn                  ...........(1)

Q: Suppose the random variable x  is drawn from a  population with mean 50 and  standard deviation 3.is…

A: Solution : Given : μ = 50             σ = 3              n = 30

Q: If Y Poisson(2) and Z Poisson(3) are independent, what is distribution of W = Y + Z?

A: Solution: Given  Y~Poisson(2)    and  Z~Poisson(3)   Y and Z are independent random variable

Q: A sample of size 50 from a unimodal( one mode), distribution that is skewed to the right has…

A:

Q: According to the central limit theorem, for a relatively large sample size, the variable xbar is…

A: a. The central limit theorem says that the samples with sizes greater than or equal thirty. This is…

Q: Draw all possible samples of size 4 with replacement from a population 1,3,5. Construct a sampling…

A: Given information: Population 1, 3, 5 Sample size = 4 Determine the population mean and standard…

Q: Suppose the cumulative distribution function of the random variable X is x < 0 0 <x< 5 5 < x F(x) =…

A:

Q: A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in…

A: The approximate distribution of the sample proportion is given as a normal distribution given as:…

Q: Define a continuous random variable.

A: Continuous random variable is given.

Q: A process for making glass sheets produces small bubbles that are scattered at random in the glass…

A:

Q: (2) The time it takes for a student to watch an IE342 video lecture is uniformly distributed between…

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: The mean of all the sample means obtained from all random samples of a certain sample size in a…

A: Here, we have sample mean is an biased estimate of the given random sample.

Q: doctor is interested in the proportion of patients which live at least 5 years after being diagnosed…

A:

Q: The mean of the sampling distribution of x, – x, is: always 0 always positive always ui - u2 always…

A:

Q: Derive the random variate generator for a triangular distribution with a lower bound (a) of 120, an…

A: Given a triangular distribution with a=120, c=250 and mean=200

Q: The shape of the sampling distribution of the sample mean for the sample size n= 12 will be: O a.…

A: Given that  Sample size n =12  Sample mean =23.2 Standard deviation =2.4

Q: The central limit theorem states that when sample size isn> 30, then the distribution of sample…

A: CLT: For a r.v having probability distribution either it is known or unknown with population mean μ…

Q: Suppose we have a random sample of size 36 from a Poisson distribution with mean 20. Find the…

A: From the given information, Consider, X is the random variable that follows Poisson distribution…

Q: Show that for a random sample of size 100, drawn with replacement, the stand- ard error of sample…

A:

Q: A random sample of n = 400 measurements is drawn from a binomial population with probability of…

A: Given information : sample size = n = 400 probability of success = p = 0.21 probability of failure =…

Q: The time of a call to a technical support line is uniformly distributed between 2 and 10 minutes.…

A: Given information- We have given the problem of uniform distribution. Lower limit (a) = 2 minutes…

Q: If the sample size n is large, the sampling distribution of p is approximately a normal…

A: Solution-: Find condition must be satisfied to guarantee that n is large enough to say that is…

Q: selects 100 random samples. Find the probability that among them there will be five items with a…

A: here given , The probabilities that the diameter of any item is less than, greater than or equal to…

Q: If random samples of size n are drawn from a large population (N > 20n) with a mean u and standard…

A:

Q: Let X be the random variable representing the systolic blood pressure (mmHG) in healthy adults. It…

A: Given, Systolic blood pressure follows normal distribution with mean 112 and standard deviation 10…

Q: Assume that the sample is a random sample from a distribution that is reasonably normally…

A: We have given n = 20 Degree of freedom (df) = n - 1 = 20 - 1 = 19 t = -0.68

Q: Suppose the cumulative distribution function of the random variable Xis x < 0 0 <x < 5 F(x) = 0.2x 1…

A:

Q: Draw all possible samples each of size n-3 from the population 2, 11 by using mpling with…

A:

Q: The number of employed persons in Mexico between 2009 and 2019 can be modeled as a random variable…

A: Solution: Let X be the number of employed persons in Mexico between 2009 and 2019. From the given…

Q: Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 20,000…

A: a) Consider that p is the population proportion and p̂ is the sample proportion, where n is size of…

Q: The distribution of age of a certain professional sport is strongly skewed to the right with mean…

A: The sampling distribution of the sample mean is given by : E(X)=μS.D(X)=σn So, the mean of the…

Q: The number of books sold over the course of the four-day book fair were 174, 171, 259, and 67.…

A: Total number of possible samples =4*4 =16 (As 4 choices for each value).As all sample occur with…

Q: Consider drawing a random sample of size n=2 units from a finite population with sampling units (1,…

A: Here use sampling distribution with replacement

Q: An X random variable comes from any distribution with 21 averages and 17 variances. What is the…

A:

Q: 3. Let Y1,.. , Y, be a random sample from a normal distribution with mean 30 and standard deviation…

A:

Q: If the sample size is 8 then the degree of freedom when using T distribution is equal ?

A: Provided information is, The sample size is 8 for t-distribution. t-test is used to test the…

Q: The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore…

A: The samples are dependent and the population distribution is normal. So, use the paired t-test to…

Q: The joint distribution of two random variables X and Y is tabulated below. Complete the table by…

A: we have to find out the marginal distributions of X and Y

Q: The central limit therorem only works for large sample size O a. True O b. False

A: We have to find given statement is true or false.

Q: (&) If a random variate has a Poisson distribution such that P(2) = P(3), determine P(5). %3D

A:

Q: xbar for random samples of 2 observations roughly normal, strongly skewed, or triangular?

A: population is uniformly distributed then  sampling distribution of xbar for random samples of at…

Q: What is the Central Limit Theorem? It is always true that as the sample size, n, increases, the…

A: According to Central limit Theorem , if the sample is chosen randomly , distribution of sample means…

Q: Find the mean, standard deviation of the sampling distribution of the means. Sample of size n were…

A: We have given that Mean(µ) = 25Variance(σ2) = 6.25  Sample size (n) = 25

Q: Suppose the cumulative distribution function of the random variable X is x < 0 0 <x < 5 5 < x F(x)…

A:

Q: Is the random variable given in the accompanying table discrete or continuous? Explain.

A: Given information: The data represents the probability distribution table for the variable X =…

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.