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A particular trucking company mandates that its drivers drive no more than 5 miles per hour over the speed limit at all times. GPS devices on the trucks record and report the truck's speed at all times to headquarters. The manager decides to pull a random sample from the entire data set of speed recordings for a particular driver. Assume that the population of driving speeds is approximately normal. The selected speeds that were pulled are the following. 68, 60, 57, 64, 65, 58 (a) Calculate the point estimate (in miles per hour) for the population mean. mph (b) Calculate the point estimate (in miles per hour) for the population standard deviation. (Round your answer to four decimal places.) mph (c) Calculate a 95% confidence interval (in miles per hour) for the mean driving speed for this driver. (Round your answers to three decimal places.) lower bound mph and the upper bound mph

A particular trucking company mandates that its drivers drive no more than 5 miles per hour over the speed limit at all times. GPS devices on the trucks record and report the truck's speed at all times to headquarters. The manager decides to pull a random sample from the entire data set of speed recordings for a particular driver. Assume that the population of driving speeds is approximately normal. The selected speeds that were pulled are the following. 68, 60, 57, 64, 65, 58 (a) Calculate the point estimate (in miles per hour) for the population mean. mph (b) Calculate the point estimate (in miles per hour) for the population standard deviation. (Round your answer to four decimal places.) mph (c) Calculate a 95% confidence interval (in miles per hour) for the mean driving speed for this driver. (Round your answers to three decimal places.) lower bound mph and the upper bound mph

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Sample Problem on Statistical Calculations in Monitoring Driving Speeds A particular trucking company mandates that its drivers drive no more than 5 miles per hour over the speed limit at all times. GPS devices on the trucks record and report the truck's speed at all times to headquarters. The manager decides to pull a random sample from the entire data set of speed recordings for a particular driver. Assume that the population of driving speeds is approximately normal. The selected speeds that were pulled are the following: 68, 60, 57, 64, 65, 58 #### Tasks 1. **Calculate the point estimate (in miles per hour) for the population mean.** | Speed (mph) | |-------------| | | 2. **Calculate the point estimate (in miles per hour) for the population standard deviation.** *(Round your answer to four decimal places.)* | Standard Deviation (mph) | |--------------------------| | | 3. **Calculate a 95% confidence interval (in miles per hour) for the mean driving speed for this driver.** *(Round your answers to three decimal places.)* - Lower bound: | Lower Bound (mph) | |-------------------| | | - Upper bound: | Upper Bound (mph) | |-------------------| | | ### Explanation of Required Tasks 1. **Point Estimate for the Mean:** - To calculate the point estimate for the population mean, you take the average of the sample speeds listed: 68, 60, 57, 64, 65, 58. 2. **Point Estimate for the Standard Deviation:** - To find the point estimate for the population standard deviation, you use the standard formula for standard deviation on the sample data and round the result to four decimal places. 3. **95% Confidence Interval for the Mean:** - First, calculate the sample mean and standard error. Then, use the appropriate z-score for a 95% confidence interval to develop the lower and upper bounds of the interval. Round these results to three decimal places. #### Note: These tasks make use of fundamental statistical operations such as mean, standard deviation, and confidence interval calculation, which are commonly taught in introductory statistics courses.
Transcribed Image Text:### Sample Problem on Statistical Calculations in Monitoring Driving Speeds A particular trucking company mandates that its drivers drive no more than 5 miles per hour over the speed limit at all times. GPS devices on the trucks record and report the truck's speed at all times to headquarters. The manager decides to pull a random sample from the entire data set of speed recordings for a particular driver. Assume that the population of driving speeds is approximately normal. The selected speeds that were pulled are the following: 68, 60, 57, 64, 65, 58 #### Tasks 1. **Calculate the point estimate (in miles per hour) for the population mean.** | Speed (mph) | |-------------| | | 2. **Calculate the point estimate (in miles per hour) for the population standard deviation.** *(Round your answer to four decimal places.)* | Standard Deviation (mph) | |--------------------------| | | 3. **Calculate a 95% confidence interval (in miles per hour) for the mean driving speed for this driver.** *(Round your answers to three decimal places.)* - Lower bound: | Lower Bound (mph) | |-------------------| | | - Upper bound: | Upper Bound (mph) | |-------------------| | | ### Explanation of Required Tasks 1. **Point Estimate for the Mean:** - To calculate the point estimate for the population mean, you take the average of the sample speeds listed: 68, 60, 57, 64, 65, 58. 2. **Point Estimate for the Standard Deviation:** - To find the point estimate for the population standard deviation, you use the standard formula for standard deviation on the sample data and round the result to four decimal places. 3. **95% Confidence Interval for the Mean:** - First, calculate the sample mean and standard error. Then, use the appropriate z-score for a 95% confidence interval to develop the lower and upper bounds of the interval. Round these results to three decimal places. #### Note: These tasks make use of fundamental statistical operations such as mean, standard deviation, and confidence interval calculation, which are commonly taught in introductory statistics courses.
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