If the shape of the population distribution of a variable is non-normal or unknown, how large a sample must be drawn from this population to be sure that the sampling distribution of the sample mean will be normally distributed?

Q: a unimodal distribution is right-skewed, what measure of center will have the largest value?

A: Answer is  Mean

Q: If the distribution of the population is bimodal, then the sampling distribution for the sample…

A: Solution :-

Q: This is a Statistics problem.  Is the sample mean from the Poisson distribution normally…

A: A Poisson distribution is the probability of the number of events that occur in a given interval…

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 law school with a total enrollment of 5000 students is known to have 40% women in its student…

A: Expectation:Denote π as the true population proportion of women in the law school. Hence, π =…

Q: If we're concerned with making estimates that are more often close to the true value, would we…

A: If we want to make estimates close to the true value, we would prefer a distribution with a small…

Q: One assumption of the binomial distribution is that our sample size has to be greater than​ 10% of…

A:

Q: a sampling distribution can be regarded as approximately normal when which conditions are met? In…

A: A sampling distribution is a probability distribution of a statistic obtained from a larger number…

Q: When the sample size is increased, the spread of the sampling distribution for a sample mean (select…

A: Spread measures define how similar or varied the set of observed values for a given variable (data…

Q: The central limit theorem says that the sampling distribution of the sample mean is approximately…

A:

Q: If we have measurement error in our data, and those errors are truly random, what will the average…

A: Average =Sum of errorsNumber of errors

Q: If x follows a distribution not known to be normal, then to assume that the distribution of the…

A: Solution: From the given information, the distribution of X is not known.

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…

A: We know that  if λ is the average number of successes occurring in a given time interval or region…

Q: Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what…

A: Sampling distribution of a sample mean:

Q: It is defined as the maximum likely difference between the observed sample mean and the true value…

A: Here  Sampling Error is defined as the maximum difference between observed sample mean and…

Q: A survey of 40 international students who are studying a postgraduate degree in Sydney reveals that…

A: Denote p as the population proportion. If x denotes the number of cases favorable to an event in a…

Q: When we estimate to the population from sample data (as we do with inferential statistics), why are…

A:

Q: Since the sample size is always smaller than the size of the population, the sample mean O A. can be…

A: Correct answer is (A)

Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: O A. median…

A: Correct answer is (C) mean equals the variance

Q: What is the Sample Distribution of means and why is it called a "special Kind of Population"?

A: We have to know about sampling distribution of sample means.We need to understand it in brief.

Q: Define and distinguish between the sample distribution, the sampling distribution, and the…

A: Inferential statistics used to compare the differences between the treatment groups. Inferential…

Q: What are the functions of sampling distribution?

A: A sampling distribution is a distribution of the likelihood of a statistic derived from a greater…

Q: What happens to the sampling distribution of the mean when a population is already normally…

A:

Q: For any sample of size 90, the population mean, the mean of the sampling distribution for the…

A:

Q: If the sample size is increased, the margin of error will decrease.   True or False

A: Given statement : " If the sample size is increased, the margin of error will decrease "

Q: in statistical inference, a sample ............ is referred to as the point estimator of the…

A: Point estimate : A point estimate of a population parameter is a single value of a statistic. For…

Q: What will happen to the sample size if the percentage error becomes lower? Can you explain to me how…

A: From the given information we want to find solution.

Q: If a researcher wants to have a distribution of a sample that is approximately normal then that…

A: solution-: If a researcher wants to have a distribution of a sample that is approximately normal…

Q: A random sample of size 16 is to be taken from a normal population having mean 100 and variance 4.…

A: Sample size = 16 Mean = 100 Variance = 4

Q: These are sampling distributions from statistics of a random sample taken from normally distributed…

A: Explanation to correct answer: b. Chi-square distribution: This distribution is used to study the…

Q: In a distribution plot, if mean is much smaller than median, does the underlying sample have very…

A: Outliers- It is an observation or a value that lies outside from the population or which is far away…

Q: As the size of a simple random sample is increased, the standard error of the sample mean will…

A:

Q: What is the sampling distribution of x?

A:

Q: Suppose that you are testing a hypothesis on the mean of a normal distribution and are interested in…

A: Given that we are  testing a hypothesis on the mean of a normal distribution and are interested in…

Q: The shape of a sampling distribution of sample means will always be bell-shaped. True or false?

A: The sampling distribution of the sample means will be normally distributed only when the sample size…

Q: Why can we consider the sample mean in random samples of size n from a given population to be a…

A: We consider the sample mean in random samples of size n from a given population to be a random…

Q: 1. True or False The sampling distribution of the mean will have the same mean as the original…

A: We have to find out given probabiity..

Q: What important theorem in statistics implies that, for a large sample size, the possible sample…

A: Central limit theorem for proportion: As the sample size increases, the sampling distribution of…

Q: The distribution of sample means will always be normal if taken from a normal population. True or…

A: We know that if population is normally distributed then the distribution of sample means will always…

Q: If a researcher uses random sampling, the sample will definitely be representative of the…

A: Solution: The given statement is “If a researcher uses random sampling, the sample will definitely…

Q: If a positively skewed distribution has a mean of 40, then the median and the mode are probably both…

A:

Q: A point estimate consists of a single sample that is used to estimate the true population parameter.

A:

Q: Under which circumstance will the distribution of sample means be normal? it is always normal only…

A: We have to find correct answer for given data..

Q: If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores…

A: Given: X~Nμ,σμ=40σ=80n=16x¯=36

Q: Too many outliers on our sample data is acceptable as long as data are summarized and presented by…

A:

Q: A team of researchers found that age distributions in a population of 100,000 people was not Normal.…

A: Given that A team of researchers found that age distributions in a population of 100,000 people was…

Q: A critical part of inferential statistics involves determining how far sample statistics are likely…

A: Inferential statistics have two main uses: making estimates about populations (for example, the…

Q: Suppose the percentage of married couples who own a home is 33% for a given population. What is the…

A: From the provided information, The percentage of married couples who own a home is 33% (p) = 0.33…

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.