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what are the null and alternative hypotheses?  B) determine the test statistic __( round to two decimal places as needed ) C) determine the p-value ( round to three decimal places as needed )  State the final conclusion that addresses the original claim.  A) Reject / fail to reject H0. There is ( sufficient, not sufficient) evidence to conclude that the mean of the population of

what are the null and alternative hypotheses?  B) determine the test statistic __( round to two decimal places as needed ) C) determine the p-value ( round to three decimal places as needed )  State the final conclusion that addresses the original claim.  A) Reject / fail to reject H0. There is ( sufficient, not sufficient) evidence to conclude that the mean of the population of

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) what are the null and alternative hypotheses? 

B) determine the test statistic __( round to two decimal places as needed )

C) determine the p-value ( round to three decimal places as needed ) 

State the final conclusion that addresses the original claim. 
A) Reject / fail to reject H0. There is ( sufficient, not sufficient) evidence to conclude that the mean of the population of ratings is (less than , equal to , not , greater than ) 7.00

### Hypothesis Testing for Speed Dating Ratings **Data Context:** A data set about speed dating includes "like" ratings of male dates made by female dates. The summary statistics are: - Sample size (\(n\)) = 199 - Mean (\(\bar{x}\)) = 6.56 - Standard deviation (\(s\)) = 1.86 Given this data, we aim to test the claim that the population mean of such ratings is less than 7.00 at a 0.05 significance level. Assume a simple random sample has been selected. --- **Steps to Conduct Hypothesis Testing:** 1. **Identify the Null and Alternative Hypotheses:** What are the null and alternative hypotheses? A. \( H_0: \mu = 7.00 \) \( H_1: \mu < 7.00 \) B. \( H_0: \mu = 7.00 \) \( H_1: \mu > 7.00 \) C. \( H_0: \mu = 7.00 \) \( H_1: \mu \ne 7.00 \) D. \( H_0: \mu < 7.00 \) \( H_1: \mu > 7.00 \) 2. **Determine the Test Statistic:** - Provide a blank space for the student to enter the calculated test statistic. - Instruction: *(Round to two decimal places as needed.)* 3. **Determine the P-Value:** - Provide a blank space for the student to enter the calculated P-value. - Instruction: *(Round to three decimal places as needed.)* 4. **State the Final Conclusion:** - Provide a structured sentence with blank spaces for the students to fill based on their test results. - Sentence Structure: \( H_0 \). There is (select evidence/no evidence) to conclude that the mean of the population of ratings is (select from drop down: <, >, or =) 7.00. **Explanation of Related Graphs and Diagrams:** - **Test Statistic Calculation:** A graph/diagram illustrating the calculation of the test statistic (usually a t-score or z-score) assuming normal distribution. - **P-Value Determination:** A
Transcribed Image Text:### Hypothesis Testing for Speed Dating Ratings **Data Context:** A data set about speed dating includes "like" ratings of male dates made by female dates. The summary statistics are: - Sample size (\(n\)) = 199 - Mean (\(\bar{x}\)) = 6.56 - Standard deviation (\(s\)) = 1.86 Given this data, we aim to test the claim that the population mean of such ratings is less than 7.00 at a 0.05 significance level. Assume a simple random sample has been selected. --- **Steps to Conduct Hypothesis Testing:** 1. **Identify the Null and Alternative Hypotheses:** What are the null and alternative hypotheses? A. \( H_0: \mu = 7.00 \) \( H_1: \mu < 7.00 \) B. \( H_0: \mu = 7.00 \) \( H_1: \mu > 7.00 \) C. \( H_0: \mu = 7.00 \) \( H_1: \mu \ne 7.00 \) D. \( H_0: \mu < 7.00 \) \( H_1: \mu > 7.00 \) 2. **Determine the Test Statistic:** - Provide a blank space for the student to enter the calculated test statistic. - Instruction: *(Round to two decimal places as needed.)* 3. **Determine the P-Value:** - Provide a blank space for the student to enter the calculated P-value. - Instruction: *(Round to three decimal places as needed.)* 4. **State the Final Conclusion:** - Provide a structured sentence with blank spaces for the students to fill based on their test results. - Sentence Structure: \( H_0 \). There is (select evidence/no evidence) to conclude that the mean of the population of ratings is (select from drop down: <, >, or =) 7.00. **Explanation of Related Graphs and Diagrams:** - **Test Statistic Calculation:** A graph/diagram illustrating the calculation of the test statistic (usually a t-score or z-score) assuming normal distribution. - **P-Value Determination:** A
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