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A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are found to have positive BAC values. He randomly selects records from 51 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL. Complete parts (a) through (d) below. O D. Since the distribution of blood alcohol concentrations is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval. (b) Recently there were approximately 25,000 fatal crashes in which the driver had a positive BAC. Explain why this, along with the fact that the data were obtained using a simple random sample, satisfies the requirements for constructing a confidence interval. O A. The sample size is likely less than 10% of the population. O B. The sample size is likely greater than 5% of the population. & C. The sample size is likely less than 5% of the population. O D. The sample size is likely greater than 10% of the population. (c) Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is a % probability that the population mean BAC is between and for drivers involved in fatal accidents who have a positive BAC value. O B. The researcher is % confident that the population mean BAC is between and for drivers involved in fatal accidents who have a positive BAC value. O C. The researcher is % confident that the population mean BAC is not between and for drivers involved in fatal accidents who have a positive BAC value.

A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are found to have positive BAC values. He randomly selects records from 51 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL. Complete parts (a) through (d) below. O D. Since the distribution of blood alcohol concentrations is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval. (b) Recently there were approximately 25,000 fatal crashes in which the driver had a positive BAC. Explain why this, along with the fact that the data were obtained using a simple random sample, satisfies the requirements for constructing a confidence interval. O A. The sample size is likely less than 10% of the population. O B. The sample size is likely greater than 5% of the population. & C. The sample size is likely less than 5% of the population. O D. The sample size is likely greater than 10% of the population. (c) Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) O A. There is a % probability that the population mean BAC is between and for drivers involved in fatal accidents who have a positive BAC value. O B. The researcher is % confident that the population mean BAC is between and for drivers involved in fatal accidents who have a positive BAC value. O C. The researcher is % confident that the population mean BAC is not between and for drivers involved in fatal accidents who have a positive BAC value.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Estimating Average Blood Alcohol Concentration (BAC) in Fatal Accidents A researcher aims to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are confirmed to have positive BAC values. Data from 51 such drivers in 2009 indicates the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL. The following sections address specific requirements and interpretations based on this data. #### Part (a) The necessity for a large sample size arises due to the skewed distribution of blood alcohol concentrations: - **Correct Answer:** D. Since the distribution of blood alcohol concentrations is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval. #### Part (b) There were approximately 25,000 fatal crashes involving drivers with a positive BAC. The data was obtained using a simple random sample. To satisfy requirements for constructing a confidence interval: - **Correct Answer:** C. The sample size is likely less than 5% of the population. #### Part (c) Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes with a positive BAC. Choose and complete the correct option: - **Choose Ascending Order. Round to three decimal places as needed.** **Options:** - **A:** There is a \( \square \)% probability that the population mean BAC is between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. - **B:** The researcher is \( \square \)% confident that the population mean BAC is between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. - **C:** The researcher is \( \square \)% confident that the population mean BAC is not between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. This text aims to clarify how to approach statistical analysis in real-world contexts and ensure accurate interpretation based on sample data and established methodologies.
Transcribed Image Text:### Estimating Average Blood Alcohol Concentration (BAC) in Fatal Accidents A researcher aims to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are confirmed to have positive BAC values. Data from 51 such drivers in 2009 indicates the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL. The following sections address specific requirements and interpretations based on this data. #### Part (a) The necessity for a large sample size arises due to the skewed distribution of blood alcohol concentrations: - **Correct Answer:** D. Since the distribution of blood alcohol concentrations is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval. #### Part (b) There were approximately 25,000 fatal crashes involving drivers with a positive BAC. The data was obtained using a simple random sample. To satisfy requirements for constructing a confidence interval: - **Correct Answer:** C. The sample size is likely less than 5% of the population. #### Part (c) Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes with a positive BAC. Choose and complete the correct option: - **Choose Ascending Order. Round to three decimal places as needed.** **Options:** - **A:** There is a \( \square \)% probability that the population mean BAC is between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. - **B:** The researcher is \( \square \)% confident that the population mean BAC is between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. - **C:** The researcher is \( \square \)% confident that the population mean BAC is not between \( \square \) and \( \square \) for drivers involved in fatal accidents who have a positive BAC value. This text aims to clarify how to approach statistical analysis in real-world contexts and ensure accurate interpretation based on sample data and established methodologies.
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