QUESTION 1 A random sample of 67 lab rats are enticed to run through a maze, and a 95% confidence interval is constructed of the mean time it takes rats to do it. It is [2.3min, 3.1 min). Which of the folowing statements is/are true? (More than one statement may be correct.) O 95% of the lab rats in the sample ran the maze in between 2.3 and 3.1 minutes. O 95% of the lab rats in the population would run the maze in between 2.3 and 3.1 minutes O Using the sample for these rats, about 95% of the time, the interval (2.3, 3.1] would contain the population mean. O The true population mean is not known.

MATLAB: An Introduction with Applications
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**Educational Website Transcription**

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**QUESTION 1**

A random sample of 67 lab rats are enticed to run through a maze, and a 95% confidence interval is constructed of the mean time it takes rats to do it. It is [2.3 min, 3.1 min]. Which of the following statements is/are true? (More than one statement may be correct.)

- [ ] 95% of the lab rats in the sample ran the maze in between 2.3 and 3.1 minutes.
- [ ] 95% of the lab rats in the population would run the maze in between 2.3 and 3.1 minutes.
- [ ] Using the sample for these rats, about 95% of the time, the interval [2.3, 3.1] would contain the population mean.
- [ ] The true population mean is not known.

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**QUESTION 2**

The IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test. What is the standard error for this sample? (Round to hundredth.)

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**QUESTION 3**

The national IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test and the sample mean is 112. What is the lower bound for this 90% confidence interval level for this sample? (Round to hundredth.)

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**QUESTION 4**

The national IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test and the sample mean is 112. What is the upper bound for this 90% confidence interval level for this sample? (Round to hundredth.)

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Transcribed Image Text:**Educational Website Transcription** --- **QUESTION 1** A random sample of 67 lab rats are enticed to run through a maze, and a 95% confidence interval is constructed of the mean time it takes rats to do it. It is [2.3 min, 3.1 min]. Which of the following statements is/are true? (More than one statement may be correct.) - [ ] 95% of the lab rats in the sample ran the maze in between 2.3 and 3.1 minutes. - [ ] 95% of the lab rats in the population would run the maze in between 2.3 and 3.1 minutes. - [ ] Using the sample for these rats, about 95% of the time, the interval [2.3, 3.1] would contain the population mean. - [ ] The true population mean is not known. --- **QUESTION 2** The IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test. What is the standard error for this sample? (Round to hundredth.) --- **QUESTION 3** The national IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test and the sample mean is 112. What is the lower bound for this 90% confidence interval level for this sample? (Round to hundredth.) --- **QUESTION 4** The national IQ test has a mean of 100 and a standard deviation of 15. Suppose a simple random sample of 150 students take an IQ test and the sample mean is 112. What is the upper bound for this 90% confidence interval level for this sample? (Round to hundredth.) --- *Click Save and Submit to save and submit. Click Save All Answers to save all answers.*
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