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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)
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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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. 2. Which of the following refers to the standard deviation of a sampling distribution? 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 the Central Limit Theorem? A. Abrahamn de Moivre B. Aristotle C. Aleksander Lyapunov D. Rene Descartes 4. Which of the following properties describes the sampling distribution of the sample mcan? A. The mean of the sampling distribution of the means is equal to the mean of the population. B. As the sample size n decreases, 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. 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 curve table. B. The z-value leads to the area under the curve found in the normal distribution table, which is a probability. C. The z-value leads to the area under the curve found in the normal curve table, which is a percentage, and that percentage gives the desired probability for X. D. The z-value leads to the area under the curve found in the normal curve table, which is a probability, and that percentage gives the desired percentage for X. SHOT ON itel Al DUAL CAMERA 12
Transcribed Image Text: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. 2. Which of the following refers to the standard deviation of a sampling distribution? 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 the Central Limit Theorem? A. Abrahamn de Moivre B. Aristotle C. Aleksander Lyapunov D. Rene Descartes 4. Which of the following properties describes the sampling distribution of the sample mcan? A. The mean of the sampling distribution of the means is equal to the mean of the population. B. As the sample size n decreases, 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. 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 curve table. B. The z-value leads to the area under the curve found in the normal distribution table, which is a probability. C. The z-value leads to the area under the curve found in the normal curve table, which is a percentage, and that percentage gives the desired probability for X. D. The z-value leads to the area under the curve found in the normal curve table, which is a probability, and that percentage gives the desired percentage for X. SHOT ON itel Al DUAL CAMERA 12
6. Which of the following describes 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 decreases, 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 divided by the square root of the 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 to the population mean. D. The means of the samples drawn from a population may be equal, greater than or less than the population mean. 8. Which of the following refers to the frequency distribution using the means computed from all possible random samples of a specific size take from the population? A. Population Distribution B. Frequency Distribution Table C. Sampling Distribution of the Sample Means D. Sampling Distribution of the Population Mean 9. Which of the following is used when computing for the probability x that will take on a value within a given range in the sampling distribution of the sample mean? A. z = B. z = C. z = D. z = 10. What is the mean of sampling distribution if mean of population is 25? A. 25 В. 5 С. 30 D. 35 11. What is the standard deviation of sampling distribution if standard deviation of population is 35 and sample size is 9? A. 11.67 B. 12.67 С. 13.67 D. 14.67 12. If a population has a mean of 6.5, what is the mean of the sampling distribution of its means? A. 5.6 В. 6.5 С. 6.7 D. 65 For numbers 13-15, use the problem below. The average time it takes for high school students to complete certain examination is 46.2 minutes. The standard deviation is 8 minutes. There will be 50 random samples to be selected. Assume that the variable is normally distributed. 13. What is the population mean in the given problem? A. 0 В. 8 C. 46.2 D. 50 14. What is the value of n in the given problem? А. О В. 8 C. 46.2 D. 50 15. If 50 random selected high school students take the exam, what is the probability that the mean time it takes the group to complete the test will be less than 43 minutes? A. 0.23% SHOT ON itel Al DUAL CAMERA В. 2.3% C. 3% D. 23% 13
Transcribed Image Text:6. Which of the following describes 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 decreases, 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 divided by the square root of the 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 to the population mean. D. The means of the samples drawn from a population may be equal, greater than or less than the population mean. 8. Which of the following refers to the frequency distribution using the means computed from all possible random samples of a specific size take from the population? A. Population Distribution B. Frequency Distribution Table C. Sampling Distribution of the Sample Means D. Sampling Distribution of the Population Mean 9. Which of the following is used when computing for the probability x that will take on a value within a given range in the sampling distribution of the sample mean? A. z = B. z = C. z = D. z = 10. What is the mean of sampling distribution if mean of population is 25? A. 25 В. 5 С. 30 D. 35 11. What is the standard deviation of sampling distribution if standard deviation of population is 35 and sample size is 9? A. 11.67 B. 12.67 С. 13.67 D. 14.67 12. If a population has a mean of 6.5, what is the mean of the sampling distribution of its means? A. 5.6 В. 6.5 С. 6.7 D. 65 For numbers 13-15, use the problem below. The average time it takes for high school students to complete certain examination is 46.2 minutes. The standard deviation is 8 minutes. There will be 50 random samples to be selected. Assume that the variable is normally distributed. 13. What is the population mean in the given problem? A. 0 В. 8 C. 46.2 D. 50 14. What is the value of n in the given problem? А. О В. 8 C. 46.2 D. 50 15. If 50 random selected high school students take the exam, what is the probability that the mean time it takes the group to complete the test will be less than 43 minutes? A. 0.23% SHOT ON itel Al DUAL CAMERA В. 2.3% C. 3% D. 23% 13
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