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A survey was conducted that asked 1005 people how many books they had read in the past year. Results indicated that x= 10.7 books and s= 16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. Click the icon view the table of critical t-values. Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is 90% confidence that the population mean number of books read is between and O B. If repeated samples are taken, 90% them will have a sample mean between and. O C. There is a 90% probability that the true mean number of books read is between and

A survey was conducted that asked 1005 people how many books they had read in the past year. Results indicated that x= 10.7 books and s= 16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. Click the icon view the table of critical t-values. Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is 90% confidence that the population mean number of books read is between and O B. If repeated samples are taken, 90% them will have a sample mean between and. O C. There is a 90% probability that the true mean number of books read is between and

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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A survey was conducted that asked 1005 people how many books they had read in the past year. Results indicated that \( \bar{x} = 10.7 \) books and \( s = 16.6 \) books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. [
Transcribed Image Text:A survey was conducted that asked 1005 people how many books they had read in the past year. Results indicated that \( \bar{x} = 10.7 \) books and \( s = 16.6 \) books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. [
# t-Distribution Table This table provides critical values for the t-distribution used in hypothesis testing, specifically for calculating confidence intervals and determining p-values. The table is organized by degrees of freedom (df) and the area in the right tail. ## Table Layout - **Columns**: - The columns represent different significance levels, with the area in the right tail ranging from 0.25 to 0.0005. - **Rows**: - The rows represent the degrees of freedom (df), ranging from 1 to 100. The last row shows the values for z (standard normal distribution). ## Understanding the Values - Each cell in the table provides the t-value for a given degree of freedom and area in the right tail. These values indicate how severe or extreme an observation must be to reject a null hypothesis at a particular probability level. ## Graph Explanation - **Graphical Representation**: - On the top left, there is a graph demonstrating the concept of an "Area in right tail." This graph represents the tail of the t-distribution curve. The shaded area corresponds to the p-value, which is the probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis. This graph and table are essential for determining critical t-values in statistical analyses, enabling researchers or students to make informed decisions regarding hypothesis testing based on their data.
Transcribed Image Text:# t-Distribution Table This table provides critical values for the t-distribution used in hypothesis testing, specifically for calculating confidence intervals and determining p-values. The table is organized by degrees of freedom (df) and the area in the right tail. ## Table Layout - **Columns**: - The columns represent different significance levels, with the area in the right tail ranging from 0.25 to 0.0005. - **Rows**: - The rows represent the degrees of freedom (df), ranging from 1 to 100. The last row shows the values for z (standard normal distribution). ## Understanding the Values - Each cell in the table provides the t-value for a given degree of freedom and area in the right tail. These values indicate how severe or extreme an observation must be to reject a null hypothesis at a particular probability level. ## Graph Explanation - **Graphical Representation**: - On the top left, there is a graph demonstrating the concept of an "Area in right tail." This graph represents the tail of the t-distribution curve. The shaded area corresponds to the p-value, which is the probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis. This graph and table are essential for determining critical t-values in statistical analyses, enabling researchers or students to make informed decisions regarding hypothesis testing based on their data.
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