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Report and interpret the 95% confidence interval.

Report and interpret the 95% confidence interval.

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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**Understanding and Interpreting the 95% Confidence Interval for Blood Pressure Differences Between Genders** When you have your blood pressure taken, the larger number is the systolic blood pressure. Researchers examined whether there are differences in systolic blood pressure levels between men and women. Using the provided technology output, we will report and interpret the 95% confidence interval for the difference in mean systolic blood pressure for men and women. Further, we will determine if these findings support the hypothesis that men and women differ in mean systolic blood pressure. ### Reporting and Interpreting the 95% Confidence Interval Based on the given information and the technology output, select the correct interpretation of the confidence interval from the options provided. #### Options: - **A.** It can be stated with 95% confidence that the difference in mean systolic blood pressure between women and men is between \_\_\_\_ and \_\_\_\_. - **B.** There is a 95% chance that the difference in mean systolic blood pressure between women and men is between \_\_\_\_ and \_\_\_\_. - **C.** The difference in mean systolic blood pressure between women and men is definitely between \_\_\_\_ and \_\_\_\_. ### Technology Output for the 95% Confidence Interval #### Output Table - **Gender:** Female, Male - **N (Sample Size):** Female = 405, Male = 406 - **Mean (Average Systolic Blood Pressure):** Female = 115.2, Male = 121.6 - **StDev (Standard Deviation):** Female = 20.3, Male = 18.4 - **SE Mean (Standard Error of Mean):** Female = 1.0, Male = 0.9 #### Key Findings: - **Difference (μFemale - μMale):** -6.4 - **95% CI for Difference:** (-9.07, -3.73) ### Answer Completion From the 95% confidence interval provided (-9.07, -3.73), we see that with 95% confidence, the true difference in mean systolic blood pressure (Female - Male) lies between -9.07 and -3.73. Therefore, the correct choice would be: **Option A: It can be stated with 95% confidence that the difference in mean systolic blood
Transcribed Image Text:**Understanding and Interpreting the 95% Confidence Interval for Blood Pressure Differences Between Genders** When you have your blood pressure taken, the larger number is the systolic blood pressure. Researchers examined whether there are differences in systolic blood pressure levels between men and women. Using the provided technology output, we will report and interpret the 95% confidence interval for the difference in mean systolic blood pressure for men and women. Further, we will determine if these findings support the hypothesis that men and women differ in mean systolic blood pressure. ### Reporting and Interpreting the 95% Confidence Interval Based on the given information and the technology output, select the correct interpretation of the confidence interval from the options provided. #### Options: - **A.** It can be stated with 95% confidence that the difference in mean systolic blood pressure between women and men is between \_\_\_\_ and \_\_\_\_. - **B.** There is a 95% chance that the difference in mean systolic blood pressure between women and men is between \_\_\_\_ and \_\_\_\_. - **C.** The difference in mean systolic blood pressure between women and men is definitely between \_\_\_\_ and \_\_\_\_. ### Technology Output for the 95% Confidence Interval #### Output Table - **Gender:** Female, Male - **N (Sample Size):** Female = 405, Male = 406 - **Mean (Average Systolic Blood Pressure):** Female = 115.2, Male = 121.6 - **StDev (Standard Deviation):** Female = 20.3, Male = 18.4 - **SE Mean (Standard Error of Mean):** Female = 1.0, Male = 0.9 #### Key Findings: - **Difference (μFemale - μMale):** -6.4 - **95% CI for Difference:** (-9.07, -3.73) ### Answer Completion From the 95% confidence interval provided (-9.07, -3.73), we see that with 95% confidence, the true difference in mean systolic blood pressure (Female - Male) lies between -9.07 and -3.73. Therefore, the correct choice would be: **Option A: It can be stated with 95% confidence that the difference in mean systolic blood
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