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Using the table provided in class, indicate the critical value of "f" for a 95% confidence interval and 27 df (round to the nearest hundredth)

Using the table provided in class, indicate the critical value of "f" for a 95% confidence interval and 27 df (round to the nearest hundredth)

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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Question
The table is right next to the question
The image contains a t-distribution table used in statistics for identifying the t-value based on degrees of freedom (df) and the probability level. **Table Headers:** - "df": Degrees of freedom, ranging from 1 to 40 in this table. - Probability levels as columns: 0.6, 0.7, 0.8, 0.9, 0.95, 0.975, 0.99, 0.995. **Explanation:** Each cell in the table corresponds to a t-value, which is used to determine the critical value for a t-test based on the degrees of freedom and desired significance level (1 minus the shown probability). **Sample Data Points:** - For 1 degree of freedom and a probability level of 0.6, the t-value is 0.325. - For 10 degrees of freedom and a probability level of 0.95, the t-value is 2.228. - For 30 degrees of freedom and a probability level of 0.99, the t-value is 2.75. This table is typically used in hypothesis testing to determine how far a sample mean deviates from a population mean when the standard deviation is unknown and the sample size is small, facilitating decision making in statistical evaluations.
Transcribed Image Text:The image contains a t-distribution table used in statistics for identifying the t-value based on degrees of freedom (df) and the probability level. **Table Headers:** - "df": Degrees of freedom, ranging from 1 to 40 in this table. - Probability levels as columns: 0.6, 0.7, 0.8, 0.9, 0.95, 0.975, 0.99, 0.995. **Explanation:** Each cell in the table corresponds to a t-value, which is used to determine the critical value for a t-test based on the degrees of freedom and desired significance level (1 minus the shown probability). **Sample Data Points:** - For 1 degree of freedom and a probability level of 0.6, the t-value is 0.325. - For 10 degrees of freedom and a probability level of 0.95, the t-value is 2.228. - For 30 degrees of freedom and a probability level of 0.99, the t-value is 2.75. This table is typically used in hypothesis testing to determine how far a sample mean deviates from a population mean when the standard deviation is unknown and the sample size is small, facilitating decision making in statistical evaluations.
### Question 2 Using the table provided in class, indicate the critical value of "t" for a 95% confidence interval and 27 degrees of freedom (rounded to the nearest hundredth). [Text Box] Click "Save and Submit" to save and submit. Click "Save All Answers" to save all answers. [Save All Answers Button] #### Explanation: For this question, refer to the t-distribution table that provides critical values. You will find the value corresponding to 27 degrees of freedom at the 95% confidence level. Input this value in the provided text box, rounding it to the nearest hundredth. ### Additional Notes: - The keyboard shown is a standard layout typically used for data entry and calculations. - The context implies an online assessment interface where users can input their calculated or referenced answers and submit them electronically for evaluation.
Transcribed Image Text:### Question 2 Using the table provided in class, indicate the critical value of "t" for a 95% confidence interval and 27 degrees of freedom (rounded to the nearest hundredth). [Text Box] Click "Save and Submit" to save and submit. Click "Save All Answers" to save all answers. [Save All Answers Button] #### Explanation: For this question, refer to the t-distribution table that provides critical values. You will find the value corresponding to 27 degrees of freedom at the 95% confidence level. Input this value in the provided text box, rounding it to the nearest hundredth. ### Additional Notes: - The keyboard shown is a standard layout typically used for data entry and calculations. - The context implies an online assessment interface where users can input their calculated or referenced answers and submit them electronically for evaluation.
Expert Solution
Step 1: Determine the given data in the question

Given that,

d f equals 27 C o n f i d e n c e space l e v e l space left parenthesis C right parenthesis equals 95 percent sign equals 0.95 alpha equals 1 minus C equals 1 minus 0.95 equals 0.05 1 minus alpha over 2 equals 1 minus fraction numerator 0.05 over denominator 2 end fraction equals 0.975

The statistical table is given.

To find the critical value of t-distribution.



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