Select the correct choice below and fill in the answer boxes, if applicable, in your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) hours. hours OA. The nutritionist is 95% confident that the amount of time spent eating or drinking per day for any individual is between and OB. The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day is between and OC. There is a 95% probability that the mean amount of time spent eating or drinking per day is between and hours OD. The requirements for constructing a confidence interval are not satisfied Help me solve this View an example Get more help. Clear all Type here to search Et CO H a 2 9 O # ( Z # S + E 4 R F T O B H N U J 8 M 1 hp C K O L P [ 1 1 Check answer 1:42 PM 6/17/2022 1 97°F A 7
Select the correct choice below and fill in the answer boxes, if applicable, in your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) hours. hours OA. The nutritionist is 95% confident that the amount of time spent eating or drinking per day for any individual is between and OB. The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day is between and OC. There is a 95% probability that the mean amount of time spent eating or drinking per day is between and hours OD. The requirements for constructing a confidence interval are not satisfied Help me solve this View an example Get more help. Clear all Type here to search Et CO H a 2 9 O # ( Z # S + E 4 R F T O B H N U J 8 M 1 hp C K O L P [ 1 1 Check answer 1:42 PM 6/17/2022 1 97°F A 7
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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![### Confidence Interval Interpretation for Educational Purposes
**Context:**
A nutritionist aims to determine the average amount of time people aged 15 or older spend eating and drinking each day. From a random sample of 1,024 individuals, the mean time spent per day is found to be 1.99 hours, with a standard deviation of 0.67 hours.
**Task:**
Determine and interpret a 95% confidence interval for the mean amount of time Americans aged 15 or older spend eating and drinking each day.
**Steps:**
1. **Identify the key values:** The sample mean (\( \bar{x} \)) is 1.99 hours, the standard deviation (\( s \)) is 0.67 hours, and the sample size (\( n \)) is 1,024.
2. **Apply the formula for the confidence interval:**
\[
\bar{x} \pm z \left(\frac{s}{\sqrt{n}}\right)
\]
where \( z \) is the z-value corresponding to the desired confidence level (for 95%, \( z \approx 1.96 \)).
**Question:**
Choose the correct interpretation of the 95% confidence interval provided below.
**Options:**
a) The nutritionist is 95% confident that the amount of time spent eating or drinking per day for any individual is between [ ] and [ ] hours.
b) The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day is between [ ] and [ ] hours.
c) There is a 95% probability that the mean amount of time spent eating or drinking per day is between [ ] and [ ] hours.
d) The requirements for constructing a confidence interval are not satisfied.
**Instructions for selecting the correct choice:**
Fill in the answer boxes with the appropriate lower and upper bounds of the confidence interval, using three decimal places where necessary. Use ascending order when typing the numerical values.
**Note:**
This process involves calculating the margin of error (\( E \)) and then determining the range that falls within one margin of error above and one margin of error below the sample mean.
**Supporting Tools:**
Students may use the provided online tools:
- "Help me solve this"
- "View an example"
- "Get more help"
These tools can assist in understanding the calculations and steps involved in deriving and interpreting confidence intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7da3211-2184-47c6-9dc5-31c87a612d2a%2F745cae51-8672-47d1-bcc0-14823eee44dc%2Fu0gsnl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Confidence Interval Interpretation for Educational Purposes
**Context:**
A nutritionist aims to determine the average amount of time people aged 15 or older spend eating and drinking each day. From a random sample of 1,024 individuals, the mean time spent per day is found to be 1.99 hours, with a standard deviation of 0.67 hours.
**Task:**
Determine and interpret a 95% confidence interval for the mean amount of time Americans aged 15 or older spend eating and drinking each day.
**Steps:**
1. **Identify the key values:** The sample mean (\( \bar{x} \)) is 1.99 hours, the standard deviation (\( s \)) is 0.67 hours, and the sample size (\( n \)) is 1,024.
2. **Apply the formula for the confidence interval:**
\[
\bar{x} \pm z \left(\frac{s}{\sqrt{n}}\right)
\]
where \( z \) is the z-value corresponding to the desired confidence level (for 95%, \( z \approx 1.96 \)).
**Question:**
Choose the correct interpretation of the 95% confidence interval provided below.
**Options:**
a) The nutritionist is 95% confident that the amount of time spent eating or drinking per day for any individual is between [ ] and [ ] hours.
b) The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day is between [ ] and [ ] hours.
c) There is a 95% probability that the mean amount of time spent eating or drinking per day is between [ ] and [ ] hours.
d) The requirements for constructing a confidence interval are not satisfied.
**Instructions for selecting the correct choice:**
Fill in the answer boxes with the appropriate lower and upper bounds of the confidence interval, using three decimal places where necessary. Use ascending order when typing the numerical values.
**Note:**
This process involves calculating the margin of error (\( E \)) and then determining the range that falls within one margin of error above and one margin of error below the sample mean.
**Supporting Tools:**
Students may use the provided online tools:
- "Help me solve this"
- "View an example"
- "Get more help"
These tools can assist in understanding the calculations and steps involved in deriving and interpreting confidence intervals.
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