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ck here to view a t distribution table. ck here to view page 1 of the standard normal distribution table. ck here to view page 2 of the standard normal distribution table. at is the confidence interval estimate of the population mean μ?

ck here to view a t distribution table. ck here to view page 1 of the standard normal distribution table. ck here to view page 2 of the standard normal distribution table. at is the confidence interval estimate of the population mean μ?

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 data set includes 107 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.72°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. --- What is the confidence interval estimate of the population mean μ? [ ] °F < μ < [ ] °F (Round to three decimal places as needed.)
Transcribed Image Text:A data set includes 107 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.72°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. --- What is the confidence interval estimate of the population mean μ? [ ] °F < μ < [ ] °F (Round to three decimal places as needed.)
The image features three graphs on the left and a table on the right. Here's a detailed transcription and explanation: ### Graphs 1. **Left Tail Graph:** - This graph represents the left tail of a t-distribution. - The critical value is indicated at the left tail with a negative sign (α). 2. **Right Tail Graph:** - This graph represents the right tail of a t-distribution. - The critical value is indicated at the right tail with a positive sign (α). 3. **Two Tails Graph:** - This graph shows a two-tailed t-distribution. - Critical values are located on both tails, indicated with negative and positive signs (α/2). ### Table The table displays "t Distribution: Critical t Values" based on degrees of freedom and various significance levels. It is structured into several columns and rows: - **Columns:** - The first column: "Degrees of Freedom" - Subsequent columns under "Area in One Tail": 0.005, 0.01, 0.025, 0.05, 0.10 - The area in "Two Tails" is half of the one tail; this is calculated as (2*) 0.005, 0.01, 0.025, 0.05, 0.10. - **Rows:** - Lists degrees of freedom from 1 to 30, followed by 40, 60, 120, and 1000. For example: - For 1 degree of freedom and an area of 0.05 in one tail, the critical t value is 6.314. - For 10 degrees of freedom and an area of 0.025 in two tails, the critical t value is 2.228. This table is used to determine the critical t values for conducting hypothesis tests and constructing confidence intervals in statistics.
Transcribed Image Text:The image features three graphs on the left and a table on the right. Here's a detailed transcription and explanation: ### Graphs 1. **Left Tail Graph:** - This graph represents the left tail of a t-distribution. - The critical value is indicated at the left tail with a negative sign (α). 2. **Right Tail Graph:** - This graph represents the right tail of a t-distribution. - The critical value is indicated at the right tail with a positive sign (α). 3. **Two Tails Graph:** - This graph shows a two-tailed t-distribution. - Critical values are located on both tails, indicated with negative and positive signs (α/2). ### Table The table displays "t Distribution: Critical t Values" based on degrees of freedom and various significance levels. It is structured into several columns and rows: - **Columns:** - The first column: "Degrees of Freedom" - Subsequent columns under "Area in One Tail": 0.005, 0.01, 0.025, 0.05, 0.10 - The area in "Two Tails" is half of the one tail; this is calculated as (2*) 0.005, 0.01, 0.025, 0.05, 0.10. - **Rows:** - Lists degrees of freedom from 1 to 30, followed by 40, 60, 120, and 1000. For example: - For 1 degree of freedom and an area of 0.05 in one tail, the critical t value is 6.314. - For 10 degrees of freedom and an area of 0.025 in two tails, the critical t value is 2.228. This table is used to determine the critical t values for conducting hypothesis tests and constructing confidence intervals in statistics.
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