A random sample of size 40 is taken from a large population with mean 100 and standard deviation 16. What is the mean of the sampling distribution of the sample means

Q: Assuming that IQ is normally distributed with a mean of 100 and a standard deviation of 15, describe…

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: A researcher wishes to test whether the mean of a normally distributed population is greater than…

A:

Q: If the mean and standard deviation of a population are 40 and 2, respectively and the sample size is…

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Q: The weights of fish in a lake are normally distributed with mean 20 lbs and standard deviation 6. If…

A: Mean = 20 Standard deviation = 6 Sample size = 4

Q: The weight of arctic polar bears is normally distributed with a mean of 980 pounds and a standard…

A: we have given that, the weight of arctic polar is normally distributed with mean (mu)= 980, and…

Q: 1. Assume that the heights of 2,000 male students of JRU are normally distributed with a mean 65.0…

A: Given Information: Assume that the heights of a 2000 male students of JRU are normally distributed…

Q: What is the method of random sampling is used? Suppose the training heart rates of all 20-year-old…

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Q: The number of Grade 11 learners per section in Kasiglahan Village Senior High School has a mean of…

A: The population mean is 56.3. The population standard deviation is 8.6. We have to write which…

Q: If x represents a random variable with mean 117 and standard deviation 40, then the standard…

A: Given : Mean , u = 117  standard deviation, σ = 40

Q: Suppose that we randomly select a sample of 80 measurements from an infinite population having a…

A: 1) Given: Mean μ=30 Standard deviation σ=5 Sample size n=80

Q: A negatively skewed population with a mean of 181 and a standard deviation of 84 What is the mean…

A: GivenMean(μ)=181standard deviation(σ)=84

Q: How does a sample size affect how close a normal distribution of either sample means or sample…

A: As per Central limit theorem, the sampling distribution of sample mean or sample proportion follow…

Q: Suppose the mean number of people attending all 2017 Veterans Day celebrations held in Virginia is…

A: here given , Suppose the mean number of people attending all 2017 Veterans Day celebrations held in…

Q: What is the probability of getting a sample mean between 500 and 520 if the population mean is 500…

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Q: A school has a population of 8000 students with a mean height of 153 cm with a standard deviation of…

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Q: the population standard deviation is 15, how large a sample is necessary to have a standard error…

A: Given  Population standard deviations σ=15, standard error=se>8

Q: If x represents a random variable with mean 125 and standard deviation 36, then the standard…

A: For a random sample of 81, X –bar follows normal with mean value of 125 and standard deviation of 4.…

Q: If the population standard deviation is 10, how large a sample is necessary to have a standard error…

A: The population standard deviation is 10 and the standard error is less than 5 points.

Q: If the manager of a bottled water distributor wants to​ estimate, with 90% ​confidence, the mean…

A: Determine the sample size n needed. Here, confidence level is 0.90.   Use EXCEL Procedure for…

Q: Suppose that among the population of smartphone owners with 16GB of storage, the mean amount of…

A: From the provided information, Mean (µ) = 13 GB Standard deviation (σ) = 3 GB

Q: One of the leading dot-com companies has found that the proportion of customers who come into its…

A:

Q: If the population of STEM students of Siyensiya Stand Alone Senior High School has a standard…

A: Given That : n = 3 Standard Deviation = 9.4

Q: The time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 4…

A: Consider that the random variable X defines the time to complete an examination.

Q: Suppose the true proportion of voters in the county who support a specific candidate is 0.58.…

A: It is given that the value of p is 0.58.

Q: In a large community, 44% of the people have blood type O. Let p be the proportion of people who…

A:

Q: The composite ACT scores for Idaho students who took the test in 2019 have average 22.3 with the…

A: Sampling distribution of normal  :  When a sequence of normally distributed variables X_1, X_2,…

Q: A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5. Find the…

A: Central Limit Theorem states that if you have a population with mean μ and standard deviation σ and…

Q: Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per…

A:

Q: Assume a recent sociological report states that university students drink 4.14 alcoholic drinks per…

A: Solution: Let X be the number of alcoholic drinks drink by students per week. From the given…

Q: if a population has a mean  of 75 and a standard deviation of 15    (a) what is the mean of the…

A: Given,sample size(n)=25mean(μ)=75standard deviation(σ)=15

Q: Suppose a random sample of n = 36 observations is selected from a population with mean= 256 and…

A:

Q: For a population with a mean of 45 and a standard deviation of 10, what is the standard error of the…

A: Obtain the value of standard error for the sample of size n=4 scores.   The value of standard…

Q: If the Standard Error SE( y ) is 1.299 and if the sample standard deviation is 4.87, what is the…

A: It is given that S.E(mean) = 1.299 Sample SD s = 4.87

Q: What is the standard deviation of the distribution of means for samples of size 2?

A: Introduction:The standard deviation of the distribution of means in called the standard error of…

Q: Suppose the mean number of people attending all 2017 Veterans Day celebrations held in Virginia is…

A: Given that: Mean number of people attending all 2017 veterans day celebrations held in Virginia,…

Q: For a population with a means of 72 and a standard deviation of 10 what is the standard error of the…

A: We have given that  Mean=72 Standard deviation=10 Sample size=25 Find the standard error

Q: A greenhouse in a tri-county area has kept track of its customers for the last several years and has…

A: Given that,   The mean of the sampling distribution is,

Q: Consider a random sample size of 100 drawn from a population with mean 50 and standard deviation 10.…

A: The mean is 50 and the standard deviation is 10.

Q: According to the Census Bureau, the mean number of people in a typical American household in 2010…

A: It is given that the mean number of people in a typical American household in 2010 was 2.6 with a…

Q: Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and…

A: Sampling distribution is the probability distribution of  a sample statistic (sample mean, sample…

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

A:

Q: population has a mean of 75 and a standard deviation of 15 (a) what is the mean of the sampling…

A:

Q: So, if you were a researcher and you desired a small standard deviation of sample means (a "skinny"…

A: The standard deviation of sample mean is:        = ​σ​/√n,     where n is the sample size

Q: If our population follows a normal distribution with mean 50 and standard deviation 3, then what is…

A: Answer -If our population follows a normal distribution with mean  μ =  50 and standard deviation σ…

Q: A farmer picks pumpkins from a large field. The farmer makes samples of 260 pumpkins and inspects…

A: Solution:From the given information, the sample of pumpkins is 260, in one in50 pumpkins are not fit…

Q: If the sample size is 100 and the population standard deviation is 20, then the standard deviation…

A: Standard error:The standard deviation of the sampling distribution of the mean is called standard…

Q: According to a study of TV viewing habits, the average number of hours an American over the age of 2…

A: Given data,Standard deviation is σ=16If n=64 standard error of the mean(σx)=?

Q: What would be the mean of the sampling distribution of all possible sample means obtained from this…

A: Given: μ=5σ=4

Q: If a sample size is 100 and the population standard deviation is 30 then the standard deviation of…

A: Given: Sample size (n) = 100 population standard deviation =30

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.