A survey of 40 international students who are studying a postgraduate degree in Sydney reveals that only 4 of them live in Sydney CBD. Is this sample large enough so that CLT applies (so that the sampling distribution is normal)?

Q: a. What is the standard error of the mean in men? What is it in women? Assume that the sampling was…

A: n1 = 4620 n2 = 6228 x1 = 3.8 x2 = 2.4 s1 = 6.7 s2 = 4.6

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: 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: What are other sampling distributions for mean?

A: Sampling distributions : The probability distribution of a given statistic based on a random sample.…

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: A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in…

A: The approximate distribution of the sample proportion is given as a normal distribution given as:…

Q: what is the 95th percentile in the t-distribution if the sample size is 25?

A: Given Information: n=25Type of distribution=t distributionTo calculate=95th percentile

Q: As the sample size increases, what happens to the p-value associated with a given sample mean?

A: In statistics, the sample size is the no of units present in a sample that is drawn from a…

Q: Of what relevance is the central limit theorem to the sampling distribution of the sample means?

A: Central Limit theorem:

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: How do you prove that the normal sampling distribution assumption has been met for a One Proportion…

A: Assumptions: The assumption for using the normal sampling distribution to test a proportion p with…

Q: In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random…

A: From the given information, n1=32, p1=0.18, n2=31 and p2=0.67.

Q: Historically, the proportion of car parks in a particular city that offer early discount fees is…

A: a. Consider that p is population proportion of car parks in a particular city that offer early…

Q: The sampling variability of the sample means becomes smaller as the sample size n gets larger. True…

A: Here we need to determine whether the given statement is true or false.

Q: e, the normal distribution is used to approximate the sampling distribution of the sample proportion…

A: The sampling distribution of the sample proportion is approximately normal with at least 10 expected…

Q: What is the probability that the mean of a sample with 40 elements randomly selected from a normally…

A:

Q: The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at…

A: Given that : Size of sample n = 180 proportion of individuals insured who received at least one…

Q: In a normal distribution, as the sample size increases, so does the graphʹs symmetry true or false?

A: We know that  In a normal distribution mean median and mode are equal.  X~N( μ , ?^2 )

Q: According to the central limit theorem, the sampling distribution of the mean will more closely…

A: The central limit states X¯ ~Nμ,σ2n               approximtely This theorem states that if the…

Q: Suppose that you take a sample of size 20 from a population that is not normally distributed. Can…

A: Given : sample size , n = 20

Q: At a large corporation, 6,000 employees from department A and 4,000 employees from department B are…

A: Concept of sampling distribution of sample proportion: Let a particular characteristic of a…

Q: Show that for a random sample of size 100, drawn with replacement, the stand- ard error of sample…

A:

Q: If it is known that a town with population 30,000 had 3,170 people who drive a Prius hybrid vehicle.…

A: Solution: The proportion of population who drive a Prius hybrid vehicle is From the given…

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

A:

Q: If the shape of the population distribution of a variable is non-normal or unknown, how large a…

A:

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: 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: Get the variance of the sampling distribution

A: The sample mean is given by 87.8 and we have to calculate the sample variance.

Q: In the textbook, a sampling distribution can be regarded as approximately normal when which…

A: Answer:-  Sampling data can be regarded as approximately normal when this conditions met:-

Q: The president of Doerman Distributors, Inc. believes that 30% of the firm’s orders come from…

A: The given information is:

Q: What is the Discrete Variance when sample size is 82 with a probability of 0.82?

A: Formula for variance : Variance = np(1-p)

Q: The mean of a sampling distribution is smaller than the mean of the underlying population. True or…

A: We have to find that the given statement is true or false... The mean of a sampling distribution is…

Q: What is Sampling Distribution of t?

A:

Q: What will happen to the mean of the sampling distribution of the sample means if the sample size…

A: Definition of sampling distribution: If X have any distribution and  sample size is sufficiently…

Q: The X2 distribution is used for the comparison of two ______.

A: Chi- square distribution with k degrees of freedom is the distribution of  sum of squares of k…

Q: When the sample size n is sufficiently large, the sampling distribution of the sample mean becomes…

A: We have to check the given statement whether it is true or not.

Q: Given the sample data below, test the claim that the proportion of female voters who plan to vote…

A:

Q: he Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was 29 years…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Sketch the sampling distribution of xand calculate the probability that the sample mean will be…

A: here given, sample size n = 250 population mean and standard deviation is as follows  μ = 188and…

Q: Suppose the daily attendance at Disneyland is normally distributed with mean 52 (thousand) and…

A: e. Given: μ=52, σ=8.3, n=15 The corresponding z-values needed to be computed are:

Q: The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore…

A: The samples are dependent and the population distribution is normal. So, use the paired t-test to…

Q: As the sample size (n) increases, does the sampling distribution of the sample mean stay the same,…

A: Suppose we take a sample of size n from a population with mean µ and standard deviation σ. let X-bar…

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: Find the mean, standard deviation of the sampling distribution of the means. Sample of size n were…

A: We have given that Mean(µ) = 25Variance(σ2) = 6.25  Sample size (n) = 25

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.