Considering a sample of 3800 people a large sample, which of the following is true? a. By the central limit theorem, the average amount of gasoline used in the sample is approximately normally distributed. b. By the central limit theorem, the average amount of gasoline from repeated samples of size 3800 is approximately normally distributed. c. By the law of large numbers, the results of this study are 3800 times less variable than if only one person had been asked. d. By the law of large numbers, the average amount of gasoline from repeated samples of size 3800 is approximately normally distributed.

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Hi, I need help with #27 question, the given information is on top above question 24. Thanks in advance.
Use the following information for Questions 24-27.
A national survey interviewed 3800 people age 18 and older nationwide by telephone. One question
asked was the amount of gasoline they used in the previous week. Of those sampled, the average
response was 11.75 gallons.
24. A statistic in this situation is
a. the 3800 people interviewed.
b.11.75 gallons.
c. the fact that those interviewed are age 18 and older.
d. All of the above
25. A parameter in this situation is
a. the 3800 people interviewed.
b. 11.75 gallons.
c. the true mean amount of gasoline used the previous week by all people age 18 and older.
d. the fact that only people age 18 and older were interviewed.
26. If the survey had interviewed only 1000 people, which of the following would be true?
a. By the law of large numbers, the average amount of gasoline used would again be 11.75 gallons.
b. By the law of large numbers, the average amount of gasoline in the sample of 1000 people would
have to be farther from the true mean amount of gasoline used by all people age 18 and older than
the average found in the sample of 3800 people.
c. The average income computed from the sample of 1000 people would be more accurate because
smaller samples tend to be more homogeneous than larger samples.
d. None of the above
27. Considering a sample of 3800 people a large sample, which of the following is true?
a. By the central limit theorem, the average amount of gasoline used in the sample is approximately
normally distributed.
b. By the central limit theorem, the average amount of gasoline from repeated samples of size 3800 is
approximately normally distributed.
c. By the law of large numbers, the results of this study are 3800 times less variable than if only one
person had been asked,
d. By the law of large numbers, the average amount of gasoline from repeated samples of size 3800 is
approximately normally distributed.
Transcribed Image Text:Use the following information for Questions 24-27. A national survey interviewed 3800 people age 18 and older nationwide by telephone. One question asked was the amount of gasoline they used in the previous week. Of those sampled, the average response was 11.75 gallons. 24. A statistic in this situation is a. the 3800 people interviewed. b.11.75 gallons. c. the fact that those interviewed are age 18 and older. d. All of the above 25. A parameter in this situation is a. the 3800 people interviewed. b. 11.75 gallons. c. the true mean amount of gasoline used the previous week by all people age 18 and older. d. the fact that only people age 18 and older were interviewed. 26. If the survey had interviewed only 1000 people, which of the following would be true? a. By the law of large numbers, the average amount of gasoline used would again be 11.75 gallons. b. By the law of large numbers, the average amount of gasoline in the sample of 1000 people would have to be farther from the true mean amount of gasoline used by all people age 18 and older than the average found in the sample of 3800 people. c. The average income computed from the sample of 1000 people would be more accurate because smaller samples tend to be more homogeneous than larger samples. d. None of the above 27. Considering a sample of 3800 people a large sample, which of the following is true? a. By the central limit theorem, the average amount of gasoline used in the sample is approximately normally distributed. b. By the central limit theorem, the average amount of gasoline from repeated samples of size 3800 is approximately normally distributed. c. By the law of large numbers, the results of this study are 3800 times less variable than if only one person had been asked, d. By the law of large numbers, the average amount of gasoline from repeated samples of size 3800 is approximately normally distributed.
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