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 questionasked was the amount of gasoline they used in the previous week. Of those sampled, the averageresponse was 11.75 gallons.24. A statistic in this situation isa. the 3800 people interviewed.b.11.75 gallons.c. the fact that those interviewed are age 18 and older.d. All of the above25. A parameter in this situation isa. 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 wouldhave to be farther from the true mean amount of gasoline used by all people age 18 and older thanthe average found in the sample of 3800 people.c. The average income computed from the sample of 1000 people would be more accurate becausesmaller samples tend to be more homogeneous than larger samples.d. None of the above27. 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 approximatelynormally distributed.b. By the central limit theorem, the average amount of gasoline from repeated samples of size 3800 isapproximately normally distributed.c. By the law of large numbers, the results of this study are 3800 times less variable than if only oneperson had been asked,d. By the law of large numbers, the average amount of gasoline from repeated samples of size 3800 isapproximately normally distributed.

Name: Hi, I need help with #27 question, the given information is on top abo
Uploaded: 2024-03-05T11:53:49.000Z
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Description: 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 questio

27. Central limit theorem: If the sample is selected from the population with finite mean and standard deviation, then the distribution of sample means follows normal distribution as sample size increases with regardless of population distribution. That is, the sample mean follows normal distribution as sample size is large. Given sample size is 3800, which is greater than 30. From the central limit theorem, the sample average of the gasoline is approximately normally distributed. Hence, the correct option: