VNich of the following theorem states that, "If random samples of size n are drawn from a population, then e a becomes larger, the sampling distribution of the mean approaches the normal distribution, regardless of the shape of the population"? A. Central Theorem B. Central Limit Theorem C. Limit Theorem D. Limit Central Theorem 28. Which of the following statements is correct? The mean of the sampling distribution of the means is less than the population mean

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NOTE: no need for explanation, just answer each number with correct letter.
Which of the following theorem states that, "If random samples of size n are drawn from a population, then
hecomes larger, the sampling distribution of the mean approaches the normal distribution, regardless
of the shape of the population"?
A. Central Theorem
B. Central Limit Theorem
C. Limit Theorem
D. Limit Central Theorem
28. Which of the following statements is correct?
The mean of the sampling distribution of the means is less than the population mean.
8. The means of the samples drawn from a population are always equal to the population mean.
C The mean of the sampling distribution of the sample means is greater than the population mean.
D The means of the samples drawn from a population may be equal, greater than or less than the
population mean.
29. What is the minimum sample size needed of a certain population in order to obtain a close approximation of
a normal distribution?
A. 15
В. 30
C. 60
D. 90
30. Which of the following is correct?
A. As the sample size n decreases, the sampling distribution of the means approaches a normal distribution.
B. As the sample size n increases, the sampling distribution of the means approaches a normal distribution.
C. As the sample size n increases, the sampling distribution of the means does not approach a normal
distribution.
D. As the sample size n decreases, the sampling distribution of the means does not affect the normal
distribution.
For numbers 31-37, refer to the given problem.
The average time it takes for a group of college students to complete a certain examination is
46.2 minutes whereas the standard deviation is 8 minutes. Fifty college students were randomly selected to
take the examination. Assume that the variable is normally distributed. What is the probability that the mean
time it takes for the group to complete the test will be less than 43 minutes?
31. What is the population mean u?
B. 43
A. 8
C. 46.2
D. 50
32. What is the population standard deviation a?
A. 8
B. 43
С.46.2
D. 50
33. What is the sample size n?
A. 8
В. 43
C. 46.2
D. 50
34. What is asked in the given problem?
A. P(X < 43)
B. P(<43)
C. P(X>43)
D. P(>43)
35. What formula is to be used in finding the z-score?
A. z =
B. z = *-H
C. z = X
D. z =
36. What is the answer to the question?
В. 15.54%
A. 0.23%
C. 23%
D. 34.46%
Transcribed Image Text:Which of the following theorem states that, "If random samples of size n are drawn from a population, then hecomes larger, the sampling distribution of the mean approaches the normal distribution, regardless of the shape of the population"? A. Central Theorem B. Central Limit Theorem C. Limit Theorem D. Limit Central Theorem 28. Which of the following statements is correct? The mean of the sampling distribution of the means is less than the population mean. 8. The means of the samples drawn from a population are always equal to the population mean. C The mean of the sampling distribution of the sample means is greater than the population mean. D The means of the samples drawn from a population may be equal, greater than or less than the population mean. 29. What is the minimum sample size needed of a certain population in order to obtain a close approximation of a normal distribution? A. 15 В. 30 C. 60 D. 90 30. Which of the following is correct? A. As the sample size n decreases, the sampling distribution of the means approaches a normal distribution. B. As the sample size n increases, the sampling distribution of the means approaches a normal distribution. C. As the sample size n increases, the sampling distribution of the means does not approach a normal distribution. D. As the sample size n decreases, the sampling distribution of the means does not affect the normal distribution. For numbers 31-37, refer to the given problem. The average time it takes for a group of college students to complete a certain examination is 46.2 minutes whereas the standard deviation is 8 minutes. Fifty college students were randomly selected to take the examination. Assume that the variable is normally distributed. What is the probability that the mean time it takes for the group to complete the test will be less than 43 minutes? 31. What is the population mean u? B. 43 A. 8 C. 46.2 D. 50 32. What is the population standard deviation a? A. 8 B. 43 С.46.2 D. 50 33. What is the sample size n? A. 8 В. 43 C. 46.2 D. 50 34. What is asked in the given problem? A. P(X < 43) B. P(<43) C. P(X>43) D. P(>43) 35. What formula is to be used in finding the z-score? A. z = B. z = *-H C. z = X D. z = 36. What is the answer to the question? В. 15.54% A. 0.23% C. 23% D. 34.46%
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