sampling distribution of the sample mean approximately normal

Q: For the following, the data set has a mean of μ=100 and a standard deviation of σ=20. Find the…

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Q: 37. Which of the following formulas is used to calculate the population standard deviation? (х — и)2…

A: In this question the sample values are given, Xi: 51,89,129,215,297. And given the given data…

Q: With a μ = 45 and a σ = 10, would a score of X’s = 50 be considered a central score (near the…

A: The z-score is known as the standard normal variable. It is continuous by nature and the value of…

Q: For each of the following situations, Specify the standard deviation, s.d. of the sampling…

A: We have, SD = p1*(1-p1)n1+p2*(1-p2)n2

Q: Suppose that the shelf life of buko pie has a normal distribution with a mean of 36 hours and…

A: As per our guidelines we are suppose to do first three subparts only

Q: Given the following information about two random samples selected from two populations which option…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: A fine dining restaurant claims that the group sizes of their customers follows the following…

A: a) The hypotheses are: H0: The distribution of customers for each group is the same as claimed by…

Q: For a large, top-rated corporation, 99% of employees said the corporation is a g Let p represent the…

A: A random sample of 8 employees given hence n=8 99% employees said the corporation is a great place…

Q: Suppose that we will take a random sample of size n from a population having mean µ and standard…

A: Solution: Given data: all calculations for given sampling distribution of sample mean Concept…

Q: For which of the following conditions is it not appropriate to assume that the sampling distribution…

A: As per CLT,Sampling distribution will be approximately normal if n ≥ 30 orpopulation distribution…

Q: For which of the following scenarios can we assume that the sampling distribution of p is…

A: We have to find correct option.

Q: Given the following information about two random samples selected from two populations which option…

A: According to the central limit theorem, for sufficiently large sample size, the sample distribution…

Q: For a set of data obtained from a bell-shaped distribution with a mean of 12 and a variance of 25,…

A: According to an empirical rule, which is also known as 68-95-99.7 rule, 68%,95% and 99.7%…

Q: For which of the following is the shape of the sampling distribution of the sample mean…

A: The sampling distribution of the sample mean is approximately normal if- If the sample size n is…

Q: For which of the following conditions is it not appropriate to assume that the sampling distribution…

A: For which of the given conditions is it not appropriate to assume that the sampling distribution of…

Q: Ho: p 0.5 O Họ: p - 0.5; Hạ:p 5 and ng > S. O The standard normal, since np 5 and ng > 5. What is…

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Q: In the accompanying graph of a normal distribution, each of the two red areas represents one-sixth…

A: (A)   Determine the value of mean.   The value of mean is determined below as follows:   From the…

Q: A random sample of size n is drawn from a population with population proportion 7 = 0.8. Find the…

A: (a) Obtain the mean and Standard deviation of the sample proportion. The mean and Standard…

Q: 1.Suppose the formative and summative grades in a College Algebra class for 11 students are given…

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Q: State the null and alternate hypotheses. Ho: H 16.4 t Họ: H- 16.4 t; H 16.4 t; Hạ: - 16.4 ft (b)…

A: Answer: Given that  A severe storm has an average peak wave height of μ =16.4 δ =3.5 n=31 α =0.01…

Q: Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev’stheorem to…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A fine dining restaurant claims that the group sizes of their customers follows the following…

A: Given that  A fine dining restaurant claims that the group sizes of their customers follows the…

Q: 10. Compute for the standard error of the mean if the sample size is 36 with standard deviation of…

A: Since you have posted multiple questions, we have provided answer for only few questions as per our…

Q: Samples of size n = 9 are selected from a normal population with µ = 80 with σ = 18. What is the…

A: Given information n = 9 µ = 80 σ = 18

Q: In a positively skewed distribution, which of the following is the correct statement? a. The…

A: The nature of data is not always symmetric. The data can be asymmetric also. Asymmetric means it is…

Q: or each of the following, assume that the two samples are obtained from populations with the same…

A: NOW HERE GIVEN   N1=7, S12 = 142 AND  N2=7, S22= 110

Q: Questlon 5 of 10 Suppose that a population parameter is 0.1, and many samples are taken from the…

A: Definition :   A population proportion is the proportion of individuals in a population sharing a…

Q: If the sampled population has a mean of u = 64 and a population standard deviation of o = 10, then…

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Q: Assume the stated rate of 8% is indeed the correct proportion for all US adults. What is the…

A: We have to find correct answer.

Q: Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N=…

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Q: For which of the following conditions is it not appropriate to assume that the sampling distribution…

A: Given data We have to find correct option in which Sampling distribution will not normal.

Q: In each of the following cases, determine whether the sample size n is large enough to say that the…

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Q: The set of all possible sample means from a specific population most closely resembles which of the…

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Q: Let S={a,b.c} be our sample such that S is unimodal with the mean equals to 10. If the highest…

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Q: Suppose the data have a bell-shaped distribution with a mean of 25 and a standard deviation of 5.…

A: The empirical rule states that 68% of the data falls within one standard deviation, 95% percent…

Q: Which of the following is the most accurate definition of a distribution of sample means? O A…

A: A frequency distribution provides the frequencies corresponding to the value of the observations

Q: State the null and alternate hypotheses. O Hg: P 0.5 O Hg: p = 0.5; Hạ: p 5 and ng > 5. O The…

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Q: Which of the following is a characteristic of the sampling distribution of a sample mean? O a. It is…

A: The set or collection of all possible observations is defined as the population.

Q: Which of the following statements is true with respect to the sampling distribution of a proportion?…

A: True statement with respect to the sampling distribution of a proportion is

Q: Consider the following sampling distribution of the sample mean. 4 4.5 5 5.5 6 P(X) 1 8 4 4 4 8 12.…

A: The following information is available in the question X¯ P(X¯) 4 18 4.5 14 5 14 5.5 14…

Q: Which of the following samples will have the smallest value for the estimated standard error? n = 25…

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Q: Which of the following is NOT one of the assumptions for the independent-samples t-test? A)The…

A: The necessary assumptions of the t-test are given below: The parent populations are normally…

Q: For each of the following situations, specify the standard deviation, s.d.(p̂1 − p̂2), of the…

A: Solution: Given information: p1= 0.29 Population proportion of male p2= 0.37  Population proportion…

Q: Which of the following best describes a sampling distribution? (a) The distribution of all values of…

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Q: (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of…

A: Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Q: 5. Suppose X is the number of successes in a random sample of size n from a large population with a…

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Q: What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the…

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Q: 1.Suppose the formative and summative grades in a College Algebra class for 11 students are given…

A: 1) The following table shows the necessary calculations for finding the mean and standard deviation:

Q: 1) Suppose that, on average, electricians earn approximately H = $53,200 per year in the United…

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Q: Which of the following statements about sampling distributions is/are TRUE? A. The mean of the…

A: Given that  Standard error = ?/√n

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.