1. As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size n is greater than or equal to 10.

Q: i) When sample size (n) increases standard deviation of sampling distribution of ž, i.e., ., Oz&,…

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you…

Q: Suppose a simple random sample of size n = 200 is obtained from a population whose size is N- 15,000…

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Q: For a population with µ = 60 and σ = 20, the Sampling distribution of the Mean, based on n = 16 will…

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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: For the purposes of constructing modified​ boxplots, outliers are defined as data values that are…

A: Solution:

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

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Q: From a normal distribution with μ = 26 and σ = 6.3, samples of size 39 are chosen to create a…

A: From a normal distribution with μ = 26 and σ = 6.3, samples of size 39 are chosen to create a…

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: Suppose that the efficacy of a certain drug is 0.53. Consider the sampling distribution (sample size…

A: It is given that, The efficiency of a certain drug is 0.53 i.e. p=0.53 and a sample of size n=178…

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

A: Given : μ = 52 , σ= 8.4 and n= 15 (a)  Sampling distribution is Normal because population itself…

Q: From a normal distribution with μ = 22.9 and σ = 4.63, we are selecting samples of size 62 and…

A: The given mean value is 22.9 and the standard deviation is 4.63. The sample size is 62. The variable…

Q: Under what circumstances will the distribution of sample means be normal? a.           It is always…

A: the distribution of the sample means will be normal only if the population is normal or if the…

Q: A customer service department monitors how long their callers wait on hold before being helped. The…

A: Given information: The time spent by the callers on hold follows a normal distribution similar to…

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: (b) Prove that for Cauchy's distribution not sample mean but sample median is a consistent estimator…

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Q: As the sample size becomes larger, the sampling distribution of the sample mean approaches to a.…

A: As sample sizes increase, the sampling distributions approach a normal distribution.

Q: ] Consider the distribution of the population shown to Population Bistribution Frequency 400- the…

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Q: The Central Limit Theorem may be used to conclude that the sampling distribution of me 20.…

A: Central limit theorem is one of the important theorem in statistics is used to determine whether the…

Q: For the purposes of constructing modified boxplots, outliers are defined as data values that are…

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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: ☐True ☐False In the sampling distribution of the mean, every point on the x-axis refers to a mean of…

A: We have to find correct answer..

Q: Given the situation or problem, determine what is being asked. a. Suppose a random sample of size n…

A: Given that   μ = 90 , ? = 6.4 , n = 25

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: 2. If the mean of the sampling distribution is 24.29, what is the mean of the population? 3. If a…

A: If X follows normal distribution with mean, μ and standard deviation, σ. Then, the sampling…

Q: For the distribution of sample means to be normally shaped, it must be derived from samples of at…

A: We have given that the distribution of the sample means to be normally shaped, it may be derived…

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

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Q: A sign in the elevator of a college library indicates a limit of 16 persons. In addition, there is a…

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Q: What is the probability that the sampling error (x−μ) would be $9 or more? That is, what is the…

A: Given P(sampling error 9 or more)

Q: Suppose an 8 sided die is tossed 300 times. Suppose that it is estimated that the probability of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If the sample size n is large, the sampling distribution of p is approximately a normal…

A: Solution-: Find condition must be satisfied to guarantee that n is large enough to say that is…

Q: 8. 6.3.2 (tb_48) Seventy percent of the students at a high school carpool to school. What is the…

A: Binomial distribution is used when there are 2 possible outcomes, n fixed trial and each trial has…

Q: 17. Show that the sample mean is sufficient for estimating the parameter in the Poisson…

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Q: What is the mean of the sampling distribution of the proportion of heads tossed when this coin is…

A: According to our guidelines we are solving only first three sub-parts of given question and the rest…

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 standard t value at the central value of sampling distribution of mean equals to?     1…

A: The standard t value at the central value of sampling distribution of mean equals to 0

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: Suppose that public opinion in a large city is 72 percent in favor of allowing a large recycling…

A: Let, A: public opinion in favor of allowing B: public opinion against So, P(A): 0.72 and P(B): p =…

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

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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: If numerous samples of N = 15 are taken from a uniform distribution and a relative frequency…

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Q: Suppose a simple random sample of size  n = 50 is obtained from a population whose size is N =…

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Q: xbar for random samples of 2 observations roughly normal, strongly skewed, or triangular?

A: population is uniformly distributed then  sampling distribution of xbar for random samples of at…

Q: The distribution used for small sample size (n<30) changes based on the size of the sample. True…

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Q: For the purposes of constructing modified boxplots, outliers are defined as data values that are…

A: it can be solved by

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

A: See the below solution

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