Directions: Read carefully each item. Use a separate sheet for your answers.Write only the letter of the best answer for each test item.1. Which of the following is correct about the sampling distribution of thesample mean using the Central Limit Theorem?A. The mean of the sampling distribution of the means is not equal to themean of the population.B. As the sample size n increases, the sampling distribution of the meansapproaches a normal distribution.C. The variance of the sampling distribution of the means is equal to thevariance of the population multiplied by the sample size n.D. The standard deviation of the sampling distribution of the means is equalto the standard deviation of the population multiplied by the squareroot of the sample size n.2. Which of the following refers to the standard deviation of a samplingdistribution?A. It is the sum of squares.B. It is the standard error of the mean.C. It only applies only to population data.D. It can be larger than the standard deviation for the population.3. Who is the French-born Mathematician who proved the first version of theCentral Limit Theorem?A. Abrahamn de MoivreB. AristotleC. Aleksander LyapunovD. Rene Descartes4. Which of the following properties describes the sampling distribution of thesample mcan?A. The mean of the sampling distribution of the means is equal to the meanof the population.B. As the sample size n decreases, the sampling distribution of the meansapproaches a normal distribution.C. The variance of the sampling distribution of the means is equal to thevariance of the population multiplied by the sample size n.D. The standard deviation of the sampling distribution of the means is equalto the standard deviation of the population multiplied by the square rootof the sample size n.5. Which of the following statements best illustrates a z-value?A. The z-value leads to the area under the curve found in the normal curvetable.B. The z-value leads to the area under the curve found in the normaldistribution table, which is a probability.C. The z-value leads to the area under the curve found in the normal curvetable, which is a percentage, and that percentage gives the desiredprobability for X.D. The z-value leads to the area under the curve found in the normal curvetable, which is a probability, and that percentage gives the desiredpercentage for X.SHOT ON itelAl DUAL CAMERA12 6. Which of the following describes the central limit theorem?A. The mean of the sampling distribution of the means is not equal to themean of the population.B. As the sample size n decreases, the sampling distribution of the meansapproaches a normal distribution.C. The variance of the sampling distribution of the means is equal to thevariance of the population multiplied by the sample size n.D. The standard deviation of the sampling distribution of the means is equalto the standard deviation of the population divided by the square root ofthe sample size n.7. Which of the following statements is correct about mean of the samples?A. The mean of the sample is less than the population mean.B. The mea of the samples is greater than the population mean.C. The means of the samples drawn from a population are always equal tothe population mean.D. The means of the samples drawn from a population may be equal, greaterthan or less than the population mean.8. Which of the following refers to the frequency distribution using the meanscomputed from all possible random samples of a specific size take from thepopulation?A. Population DistributionB. Frequency Distribution TableC. Sampling Distribution of the Sample MeansD. Sampling Distribution of the Population Mean9. Which of the following is used when computing for the probability x that willtake on a value within a given range in the sampling distribution of the samplemean?A. z =B. z =C. z =D. z =10. What is the mean of sampling distribution if mean of population is 25?A. 25В. 5С. 30D. 3511. What is the standard deviation of sampling distribution if standard deviation ofpopulation is 35 and sample size is 9?A. 11.67B. 12.67С. 13.67D. 14.6712. If a population has a mean of 6.5, what is the mean of the samplingdistributionof its means?A. 5.6В. 6.5С. 6.7D. 65For numbers 13-15, use the problem below.The average time it takes for high school students to complete certainexamination is 46.2 minutes. The standard deviation is 8 minutes. There will be 50random samples to be selected. Assume that the variable is normally distributed.13. What is the population mean in the given problem?A. 0В. 8C. 46.2D. 5014. What is the value of n in the given problem?А. ОВ. 8C. 46.2D. 5015. If 50 random selected high school students take the exam, what is theprobability that the mean time it takes the group to complete the test will beless than 43 minutes?A. 0.23%SHOT ON itelAl DUAL CAMERAВ. 2.3%C. 3%D. 23%13

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Directions: Read carefully each item. Use a separate sheet for your answers. Write only the letter of the best answer for each test item. 1. Which of the following is correct about the sampling distribution of the sample mean using the Central Limit Theorem? A. The mean of the sampling distribution of the means is not equal to the mean of the population. B. As the sample size n increases, the sampling distribution of the means approaches a normal distribution. C. The variance of the sampling distribution of the means is equal to the variance of the population multiplied by the sample size n. D. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population multiplied by the square root of the sample size n.

Directions: Read carefully each item. Use a separate sheet for your answers. Write only the letter of the best answer for each test item. 1. Which of the following is correct about the sampling distribution of the sample mean using the Central Limit Theorem? A. The mean of the sampling distribution of the means is not equal to the mean of the population. B. As the sample size n increases, the sampling distribution of the means approaches a normal distribution. C. The variance of the sampling distribution of the means is equal to the variance of the population multiplied by the sample size n. D. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population multiplied by the square root of the sample size n.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Hello. Can someone help me with question D? What is the shape of the distribution for the data values?
Solve it correctly please. I will rate accordingly with 4votes.
Which of the following is true regarding the sampling distribution of the mean for a large sample size? O It has a normal distribution with the same mean and standard deviation as the population. O It has the same shape, mean, and standard deviation as the population. O It has the same shape and mean as the population, but has a smaller standard deviation. O It has a normal distribution with the same mean as the population but with a smaller standard deviation.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution of a sample mean is normal only if the population is normal. Choose the correct answer below. O A. The statement is false. A sampling distribution of a sample mean is approximately normal if either n ≥ 30 or the population is normal. B. The statement is false. A sampling distribution of a sample mean is never normal. O C. The statement is false. A sampling distribution of a sample mean is approximately normal only if n ≥ 30. OD. The statement is true.
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 2.4 3.4 2.7 1.8 0.9 4.0 2.2 1.1 3.6 0.4 2.1 3.1 (a) Find the sample mean. x=_____ (Round to two decimal places as needed.) (b) Find the sample standard deviation. s=_____ (Round to two decimal places as needed.) (c) Construct a 90% confidence interval for the population mean μ. A 90% confidence interval for the population mean is (__, __) (Round to two decimal places as needed.)
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can you help for answer this ?
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below O A. The statement is false. A sampling distribution is never normal. O B. The statement is false. A sampling distribution is normal only if n230. O C. The statement is true. O D. The statement is false. A sampling distribution is normal if either n230 or the population is normal. Click to select your answer. ... acer
Which of the statements below is true about the standard error of the sampling distribution of the sample mean. It measures the variabilty of the mean from sample to sample. It is less than the standard deviation of the population. All of the above. It decreases as the sample size increases.
Which of the following statements about sampling distributions is/are TRUE? A. The mean of the sampling distribution of the sample means is equal to the population mean. B. When sampling is done with replacement, the standard deviation of the sampling distribution of the sample means is the population standard deviation divided by the square root of the sample size. O Both A and B O A only ONeither A nor B OB only