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You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 15 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 20 22 26 20 19 11 17 9 22 13 2- a. To compute the confidence interval use a t distribution. b. With 98% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 15 randomly selected non- residential college students are surveyed, then a different confidence interval would be produced from each group. About 98 percent of these confidence intervals will contain the true population mean number of commute miles and about 2 percent will not contain the true population mean number of commute miles.

You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 15 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 20 22 26 20 19 11 17 9 22 13 2- a. To compute the confidence interval use a t distribution. b. With 98% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 15 randomly selected non- residential college students are surveyed, then a different confidence interval would be produced from each group. About 98 percent of these confidence intervals will contain the true population mean number of commute miles and about 2 percent will not contain the true population mean number of commute miles.

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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numbers in data set: 20,22,26,20,19,11,17,9,22,13,24,15,9,23,19
### Understanding Confidence Intervals in Commute Distances **Objective:** This lesson aims to help you calculate a 98% confidence interval for the average commute distance for non-residential students attending college. **Data Provided:** - The number of commute miles for 15 randomly selected non-residential college students is shown below: - Miles: 20, 22, 26, 20, 19, 11, 17, 9, 22, 13, 24 **Instructions:** 1. **Using the Data:** - Compute the confidence interval using a t-distribution. 2. **Interpreting the Confidence Interval:** - With 98% confidence, the population mean commute distance for non-residential college students falls between two calculated values (to be filled in). 3. **Understanding the Concept:** - If multiple groups of 15 randomly selected non-residential college students were surveyed, each group would produce a different confidence interval. - **Key Fact:** Approximately 98% of these confidence intervals will contain the true population mean number of commute miles. - Conversely, about 2% of the confidence intervals will not contain the true mean commute distance. **Visual Elements:** - The presence of checkboxes in the document indicates completion or correctness when entering key statistical results, such as: - Selecting a t-distribution - Indicating correct confidence and margin of error percentages: "98%" for the confidence level and "2%" for the error margin. This educational segment assists students in mastering how to compute and interpret confidence intervals effectively in statistical analysis, using real-world examples like college commutes.
Transcribed Image Text:### Understanding Confidence Intervals in Commute Distances **Objective:** This lesson aims to help you calculate a 98% confidence interval for the average commute distance for non-residential students attending college. **Data Provided:** - The number of commute miles for 15 randomly selected non-residential college students is shown below: - Miles: 20, 22, 26, 20, 19, 11, 17, 9, 22, 13, 24 **Instructions:** 1. **Using the Data:** - Compute the confidence interval using a t-distribution. 2. **Interpreting the Confidence Interval:** - With 98% confidence, the population mean commute distance for non-residential college students falls between two calculated values (to be filled in). 3. **Understanding the Concept:** - If multiple groups of 15 randomly selected non-residential college students were surveyed, each group would produce a different confidence interval. - **Key Fact:** Approximately 98% of these confidence intervals will contain the true population mean number of commute miles. - Conversely, about 2% of the confidence intervals will not contain the true mean commute distance. **Visual Elements:** - The presence of checkboxes in the document indicates completion or correctness when entering key statistical results, such as: - Selecting a t-distribution - Indicating correct confidence and margin of error percentages: "98%" for the confidence level and "2%" for the error margin. This educational segment assists students in mastering how to compute and interpret confidence intervals effectively in statistical analysis, using real-world examples like college commutes.
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