The student test scores for a nationwide standardized test have an unknown distribution with mean 259 and standard deviation 38 points. A sample, with size n=55, was randomly drawn from the population. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?  Provide only the number with no units.

Q: Suppose lengths in inches, of adult corn snakes have unkown distribution with mean 62 and standard…

A: Given: Mean of the distribution, μ=62     & standard deviation of the distribution, σ=7…

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Q: If a distribution is normal, then it is not possible to randomly select a value that is more than 4…

A: Given : We have given normal distribution .

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Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

Q: Random samples of size 81 are taken from an infinite population whose mean is 66 and standard…

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Q: Assume that the mean number of yearly burglary attempts in Normal, IL is μ=μ= 16, with a standard…

A: Solution: Let X be the number of yearly burglary attempts. From the given information, X follows…

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Q: A factory fills bottles with a beverage, and each bottle is supposed to contain 500 mL. Norah is in…

A: Given: μ=500n=16x¯=497s=6

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Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Given that  Let X denotes the diameter of a brand of tennis  X~N(2.53, 0.04) Sample size (n)=10 Let…

Q: A sample of n = 25 scores is determined to have a standard error of 2 points. what is the standard…

A: Given data, SE=2 n=25 s=?

Q: A random sample of size, n=20 has the mean 20 and standard deviation 5. What is the coefficeint of…

A: Given Information: Sample size (n) = 20 Sample mean (x¯) = 20 Sample standard deviation (s) = 5 To…

Q: A set of exam scores is normally distributed and has a mean of 78.1 and a standard deviation of 8.1.…

A: We have given that , Mean = 78.1 , Standard deviation = 8.1 , X = 60

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

Q: Find the minimum sample size needed to be ninety seven percent confident that the true mean is…

A: Given,margin of error(E)=2.3standard deviation(σ)=7.3α=1-0.97=0.03α2=0.015Z0.015 =2.1701

Q: of obtaining a sample mean of 68 or less from a sample of 35?

A: Population mean is 65 and standard deviation equal to 24 μ=65σ=24 Sample size is 35; n=35 Cumulative…

Q: Assume that IQs are normally distributed with a mean of 120 and standard deviation of 20. For a…

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Q: (a) A student is planning for his final year project sample size for determining the electricity…

A: Since you have posted multiple different questions , we will solve first question  for you. To get…

Q: The average amount of time that teenagers spend playing video games per week is 8 hours with a…

A: Given,   Mean = 8 Standard deviation = 1.2 Sample size = 40

Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.75. The sample…

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Q: Assume the average income of workers in jordan equal 400 JD, a sample of 500 workers are taken and…

A: Given: Average income of workers in jordan = 400 Sample size n=500 sampling error is 10. standard…

Q: The Hilbert Drug Store owner plans to survey a random sample of his customers with the objective of…

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Q: Let (x-bar) be the mean of a random sample of size 60 drawn from a population with mean 120 and…

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Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Given  Mean = 60000 Standard deviation = 9000 Sample size = 36 Z score formula = (x -mu)/s/√n

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Q: The mean and standard deviation of the tax value of all cars registered in the Osaka, Japan are…

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Q: A random sample of size n= 16 was drawn from a population. If it is known that the population has…

A: Given : Mean = 32 Sample size =n = 16 Standard deviation = 5

Q: The population standard deviation for the heights of dogs, in inches, in a city is 5.7 inches. If we…

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Q: Assume that women's weights are normally distributed with a mean given by μ=143 and a standard…

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Q: In a certain distribution of numbers, the mean is 40 with a standard deviation of 5. Atleast what…

A: Given data: Mean = 40 standard deviation = 5. To find: Atleast what fraction of the numbers are…

Q: The average number of moves a person make in his/her lifetime is 12 and the standard deviation is…

A: Given,sample size(n)=25mean(μ)=12standard deviation(σ)=3.5

Q: For a normally distributed random varible y, mean is 25 and standard deviation is 9. Find the z…

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Q: the mean of a random sample of size n= 25 is used to estimate the mean of an entire population that…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Given : Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a…

Q: Suppose weights of running shoes have an unknown distribution with mean 11 and standard deviation 2…

A: The standard deviation from the sample mean distribution is obtained below: From the information,…

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Q: Total serum cholesterol levels for individuals 65 years of age and older are assumed to follow a…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters…

A: Given Data: Mean=36.5 SD=2.4

Q: Assume that the annual earnings of all employees with CPA certification and 6 years of experience…

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Q: What are the mean and standard deviation for this distribution?

A: The random variable X represents that number of employees who would lay off their bosses. The random…

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and…

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Q: To study the IQ of middle school students, a sample of 64 middle schoolers is selected and the…

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Q: The board of examiners that administers the real estate broker's examination in a certain state…

A: Given data: Mean = 494 Standard deviation = 72 To find: The passing score

Q: A population of normally distributed data has a mean of 200 and a stabdard deviation of 20. Assuming…

A: The required calculation can be defined by the  formula The standard normal variate  Z=x-μσ Then the…

Q: The mean monthly out-of-pocket cost of prescription drugs for all senior citizens in a city is $370…

A: Solution: Given information: μ=$370 Population Mean of all senior citizens in a cityσ=$80 Population…

Q: The test scores of 600 students are normally distributed with a mean of 76 and a standard deviation…

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Q: Apply Chebyshev’s rule with k = 3 to verify that at least 89% of the observations in any data set…

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Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000…

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Q: The weight of trucks traveling on a particular section of Highway 2H has a population mean of 15.8…

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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.