Suppose we wish to estimate the average height µ of Saguaro cacti in the Sonoran desert by observing a random sample of 100 such cacti. Suppose furthermore that the height of a Saguaro cactus is a random variable that is Uniformly distributed on interval [10, 30] with PDF f(x) = 1/20. Propose an estimator to make an educated guess about µ and draw its sampling distribution.

Q: when samples drawn from a population, which is positively distributed, with replacement and sample…

A: From the given information, Consider, X be the random variable which is positive distributed.…

Q: A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is…

A: Reviewing information, X : Minimum time taken by sedan to travel a quarter mile μ0=14.5 n=21…

Q: The average age of dogs owned by residents in a small retirement community is 7.5 years with a…

A:

Q: week of the gestation A scientist studying babies born prematurely would like to obtain an estimate…

A: Given,standard deviation(σ)=2.5margin of error(E)=0.4α=1-0.95=0.05α2=0.025z0.025 =1.960

Q: Suppose x has a distribution with mean equals 23 and standard deviation 17. If a random sample of…

A:

Q: An unknown distribution has a mean of 45 and a standard deviation c Samples of size n = 30 are drawn…

A: X

Q: For a population with phi = 16 , how large a sample is necessary to have a standard error that is…

A:

Q: Suppose two shots are fired at a target. Assume each shot hits with independent normally distributed…

A: Suppose two shots are fired at a target. Assume each shot hits withindependent normally distributed…

Q: A population has a mean muμequals=151151 and a standard deviation sigmaσequals=2323. Find the mean…

A:

Q: If the population standard deviation is unknown, the population is far from being normally…

A: We have given that, The population standard deviation is unknown. The population is far from being…

Q: The test of equality of the variances between two normally distributed populations relies which has…

A: We have to find the distribution of random variable which is used in testing the equality of…

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A: The population standard deviation is 2.7, margin of error is 0.5, and confidence level is 95%.

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A: The margin of error to estimate the population mean using the sample mean is given to be 0.6 pounds.…

Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed…

A: Given: The mean length of the pregnancies is μ=275. The standard deviation is σ=21 Let X be a random…

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A:

Q: distribution. Random samples from the 5 days of experiment have resulted in the following yields:…

A:

Q: Generate at least 100 random numbers from a normal distribution of mean  and variance  2 that you…

A: R Code M=2 SD=3 N=100

Q: A population is normally distributed with a population mean of 138 and a population standard…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A: It is given that,

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A: It is given that confidence level is 0.95, population standard deviation is 2.8 and margin of error…

Q: 3) (4 points) Consider a population with the mean u= 51, 000 and the standard deviation o = 5,000.…

A: The random variable X follows normal distribution. We have to find the probability that the sample…

Q: A researcher plans to select a random sample from a population with o=20 what is the minimum sample…

A: Sample Size: Sample size refers to the number of observations or replicates included in a study.…

Q: Suppose the performance of a pile foundation system is governed by the pile with the smallest…

A: The given value of the mean is equal to 15 and the value of Coefficient of variation=20%=0.2. The…

Q: An apple orchard farmer wants to know the true population proportion of all apples harvested at…

A: x= 47 , n = 524 , p ^=xn

Q: Suppose 144 independent random t values that represent the waiting time until an event happens are…

A: Consider , X: Waiting time X~Expλ with EX=1λ Sample size : n=144 Sample mean : x¯=0.25 Confidence…

Q: If the coordinates of point A (x, y) are two random variables with a normal distribution with zero…

A:

Q: SAT scores in one state is normally distributed with a mean of 1403 and a standard deviation of 64.…

A: Given: μ=1403σ=64n=56 a) The probability that one of the scores in the sample is greater than 1404…

Q: A scientist studying babies born prematurely would like to obtain an estimate for the mean birth…

A: Margin of error (E) = 0.5 population standard deviation (σ) = 2.7 pound confidence level = 95%