Tony takes a sample of 10 different-gender married couples. In his sample, he found that the husband was 106.31 centimeters taller on average, and differences in the husband's and wife's heights had a standard deviation of 105.96 centimeters. Calculate a 95% confidence interval for the mean difference between husband height and wife height. Please write your answers to at least four places. a. Critical value: t* = b. Standard error: c. Margin of error: d. Confidence interval:
Tony takes a sample of 10 different-gender married couples. In his sample, he found that the husband was 106.31 centimeters taller on average, and differences in the husband's and wife's heights had a standard deviation of 105.96 centimeters. Calculate a 95% confidence interval for the mean difference between husband height and wife height. Please write your answers to at least four places. a. Critical value: t* = b. Standard error: c. Margin of error: d. Confidence interval:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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how do i solve parts a-d
![### Confidence Interval Calculation for Mean Difference in Heights
**Scenario:** Tony takes a sample of 10 different-gender married couples. In his sample, he found that the husband was 106.31 centimeters taller on average, and differences in the husband's and wife's heights had a standard deviation of 105.96 centimeters.
**Objective:** Calculate a 95% confidence interval for the mean difference between husband height and wife height. Please write your answers to at least four decimal places.
1. **Critical value:**
\[ t^* = \]
2. **Standard error:**
\[ SE = \]
3. **Margin of error:**
\[ ME = \]
4. **Confidence interval:**
\[ < \mu_d < \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8e28faf-547f-4c48-bb6d-e40546588d1c%2F5dd78ac7-f554-4a4b-a1bf-428ba8cb1da1%2Flw2qjom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Confidence Interval Calculation for Mean Difference in Heights
**Scenario:** Tony takes a sample of 10 different-gender married couples. In his sample, he found that the husband was 106.31 centimeters taller on average, and differences in the husband's and wife's heights had a standard deviation of 105.96 centimeters.
**Objective:** Calculate a 95% confidence interval for the mean difference between husband height and wife height. Please write your answers to at least four decimal places.
1. **Critical value:**
\[ t^* = \]
2. **Standard error:**
\[ SE = \]
3. **Margin of error:**
\[ ME = \]
4. **Confidence interval:**
\[ < \mu_d < \]
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