The weights of men in a particular age group have mean ? = 186 pounds and standard deviation ? = 20 pounds. (a) For randomly selected samples of n = 4 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size (increses/decreases/doesn't effet)the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of (1/4, 1/2, 1, 2, or 4)

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

A:

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…

Q: Suppose that, based on historical data, we believe that the annual percentage salary increases for…

A: Given Information: Mean μ= 12.2% = 0.122 Standard deviation σ = 3.6% = 0.036 Sample size (n) = 9 To…

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: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: The population of incomes in a particular community is thought to be highly right-skewed with a mean…

A:

Q: a random sample is selected from a population with a standard deviation of 18. On average, how much…

A: We have to find standard error for given data.

Q: The annual salary for one particular occupation is normally​ distributed, with a mean of about…

A: Given information- Population mean, µ = 120,000 Population standard deviation, σ = 20,000 Sample…

Q: A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard…

A: Solution: From the given information, n=4, µ=80, σ=10 and M=90.

Q: The number of years of education of self-employed individuals in the United States has a population…

A: Given Data: Population Meanμ=13.6 Population Standard deviationσ=3 n=100   We know that, x¯~ Normal…

Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

A:

Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

A:

Q: If the average low temperature of a winter month in Rochester, NY, is 21∘ and the standard deviation…

A:

Q: The distribution ages for students at the state college is positively skewed with a mean of ?= 21.5…

A: Normal distribution:

Q: 1. The advertised mean temperature of coffee from a national coffee shop chain is 162°F and with a…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a…

A: Given,sample size (n)=50mean(μ)=$1000standard deviation(σ)=$350

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: The number of years of education of self-employed individuals in the United States has a population…

A: Given that,Mean = 13.6Standard deviation = 3Sample size = 100

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: The distribution of heights for women in the United States is approximately normal, with a mean of μ…

A: Where,

Q: If X is normally distributed with a mean of 70 and a standard deviation of 4.55. If you take a…

A: Provided information: Mean = 70 Standard deviation = 4.55 Sample size = 120

Q: Suppose that a study of elementary school students reports that the mean age at which children begin…

A: GivenMean(μ)=5.7standard deviation(σ)=1.2sample size(n)=60

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: Suppose that in the population, exactly 58% of college students have TikTok accounts. If we select…

A: Given: n= 150 At 95.0 % confidence level , z score= 1.96 Here, Proportion of success in a…

Q: 1. If the standard deviation of the mean for the sampling distribution of random samples of size 36…

A:

Q: You are told that the distribution of television weights is normal, with a mean, u of 12.6 kilograms…

A: Given,sample size(n)=8mean(μ)=12.6standard deviation(σ)=2.9

Q: a random sample is selected from a population with a standard deviation of  56. On average, how much…

A:

Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: Suppose medical researchers think that p = 0.70 is the proportion of all teenagers with high blood…

A: Introduction: The Empirical Rule for a normally distributed random variable is as follows:…

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example.   Let X be random variable    we know that Meanx¯=∑xn Therefore, ∑x=nx¯

Q: A population has a standard deviation of σ = 24. a.  On average, how much difference should exist…

A: Given : A population standard deviation : σ=24. The average distance of sample mean from population…

Q: The number of years of education of self-employed individuals in the United States has a population…

A:

Q: Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a…

A: Given: Sample size, n=15 Let PE denote point estimate Sample mean, x¯=80.5sample standard deviation,…

Q: Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per…

A: Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol…

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,…

Q: What statement below is true about the ages of these students when considering standard deviations?

A: The standard deviation of the ages of undergraduate students at university A is 5 years. And the…

Q: Alex wants to find out: if the standard deviation of the mean for the sampling distribution of…

A: Solution: given standard deviations of sample s1=9. fir sample size n1=256  Then what will be the…

Q: (a) The standard deviation is greater than the mean for each of these samples. Explain why it is not…

A:

Q: In a test taken by a large number of students, the average score of the test takers is 90 and the…

A: The mean is 90 and the standard deviation is 4.

Q: A population has a standard deviation of  = 30. A. On average, how much differences should exist…

A: Given Standard deviation (σ) = 30Sample size (n) = 4and standard error = σn…

Q: In general, the standard error of the sampling distribution is __________the standard deviation from…

A: We know that, Standard error is given by, SE= sigma/√n Where sigma is standard deviation and n is…

Q: What is the z-score of x = 75, if it is 2.8 standard deviations to the left of the mean? Answer to…

A: If the x = 75 is 2.8 standard deviations to the left of mean. Z value tells the distance from the…

Q: The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 40.…

A: Given: Standard deviation of monthly rent paid by students, σ=40.            Let X denotes the…

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

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

A: Given data: Let X denotes the heights (in inches) of male orangutans with mean and standard…

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

A:

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: The distribution of the number of siblings for students at a large high school is skewed to the…

A: The correct answer is C. Skewed to right with standard deviation greater than 0.7 sibling.

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1