a population of value has distribution with μ=52 and σ=90.7 You intend to draw a random sample of size n=111. According to the Central Limit Theorem, a. What is the mean of the distribution of sample means? b. What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) c. In a random sample of n=111, what is the probability that its sample mean is more than 61.5? Round to three decimal places. d. In a random sample of n=111, what is the probability that its sample mean is less than 51.6? Give your answer to three decimal places.

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.22 and the…

A: The population mean is, $6.22The population standard deviation is,The sample size is,

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: A random number generator picks a number from 10 to 42 in a uniform manner. Round answers to 4…

A: Uniform Distribution :- If X follows uniform distribution over interval ( a, b ) then probability…

Q: Chose the correct answer.

A:

Q: Suppose you sample 2 students from every classroom where a class is being held at Harvard University…

A: If a random sample of size n is taken from a population having mean  and standard deviation  then,…

Q: A survey found that women's heights are normally distributed with mean 63.6 in and standard…

A: Given Information: Mean μ=63.6 Standard deviation σ=2.5 A branch of the military requires​ women's…

Q: The weights of goods 6g . tells you that the net weight is actually a Normal random variable with a…

A: If multiple samples of same size is draw from the population and the sample mean for each sample is…

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A:

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.91…

A: Answer Given a =4.91b =5.77

Q: Provide an original example of some practical case where we can use the normal distribution (e.g.,…

A: Given that,The  mean is, μ=70The standard deviation is, σ=30To find:1) P(x<90)2) P(x>90)

Q: Private nonprofit four-year colleges charge, on average, $26,059 per year in tuition and fees. The…

A: Given Mean=26059 Standard deviations=7129

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

A: The question is about central limit theorem Given : Popl. avg. weekly starting salary ( μ ) = $750…

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.79 and the…

A: a) Given that μ=5.79 and σ=2.31 The distribution of X is, X~Nμ,σX~N(5.79, 2.31) b) The distribution…

Q: Choose the statement(s) which is (are) true of a normal distribution. I. it is symmetric about the…

A: Properties of normal distribution: The normal distribution is symmetric distribution. That is, the…

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: Given data ,u=9.6σ=1.8n=36P9<x<10=?

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 4…

A: Given, Mean = μ = 15 Standard deviation = σ = 4

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A:

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60…

A: As per guideline expert have to answer first 3 subparts only.

Q: The sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Let X be a continuous random variable of employees sick leave time in a firm in month (in hours) is…

Q: Cattle The Virginia Cooperative Extension reportsthat the mean weight of yearling Angus steers…

A: The mean and the standard deviation are 1,152 and 84 pounds, respectively.

Q: Suppose that 100 random samples are taken from this population and the sample mean is calculated for…

A: The central limit theorem states that if there exists a population with mean μ and variance σ2 and…

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.98…

A: As per our guidelines we are suppose to answer only three subparts  kindly post the remaining…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 1.6 and 3.6 kg. Suppose…

A:

Q: n order to determine an interval for the mean of a population with unknown standard deviation, a…

A: Step 1:Here given ,Sample mean is 23.xˉ=23 Sample size is 24.n=24 Step 2:Degree of…

Q: The lengths, in inches, of adult corn snakes have an unknown distribution with a population mean of…

A:

Q: Which statement below is not consistent with the distribution of sample means. O The distribution of…

A: Solution. The distribution of sample mean tends to around population mean and tend to follow normal…

Q: The average income in a certain region in 2013 was $61,000 per person per year. Suppose the standard…

A: [Standard deviation of sample mean =Standard error]Excel command to find P(z<1) is…

Q: Use the normal distribution of SAT critical reading scores for which the mean is 513 and the…

A:

Q: 5. The heights of NBA basketball players closely follow a Normal distribution with a mean of u = 79…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: teger so it is certainly not normal. a. Let X be the mean number of accidents per week at the…

A: It is given that Mean = 2.2Standard deviation = 1.4

Q: = 100 and a standard deviation of o = 49. %3D The sampling distribution of the sample mean fo mples…

A: To find: a) Mean and standard deviation b) To find the distribution of the variable under…

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.97 and the…

A: GivenMean(μ)=5.97standard deviation(σ)=2.3sample size(n)=49

Q: Q4 The time required for all cross-country skiers to complete a race has a normal  distribution…

A:

Q: Suppose you are a marine biologist studying a particular species of whales. The average length of…

A: Hello there! there are more than three subparts in the question. According to our policies we cannot…

Q: Direction: Fill in the blanks with the appropriate word or phrase to make the following illustration…

A:

Q: 1. An unknown distribution has a mean of 35 and a standard deviation of 6. Samples of size n = 40…

A:

Q: e. The probability that a newborn fawn will be weigh more than 3.36 is P(x > 3.36) =  f. P(x > 2.6 |…

A:

Q: A normal distribution has mean of 105 and a standard deviation of 10. Find the probability that a…

A: Solution :- Given :-Mean = μ=105Standard Deviation = σ=10Atmost means all probabilities smaller than…

Q: Suppose a simple random sample is drawn from a population. Select one TRUE statement. A.…

A:

Q: Private nonprofit four-year colleges charge, on average, $27,741 per year in tuition and fees. The…

A: It is given that the cost for a private non-profit four year college has a normal distribution with…

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.