A simple random sample of size n = 17 is drawn from a population that is normally distributed. The sample mean is found to be x = 59 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A simple random sample of size n = 17 is drawn from a population that is normally distributed. The sample mean is found to be x = 59 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
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 simple random sample of size \( n = 17 \) is drawn from a population that is normally distributed. The sample mean is found to be \( \bar{x} = 59 \) and the sample standard deviation is found to be \( s = 13 \). Construct a 95% confidence interval about the population mean.
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The lower bound is \[ \_ \] .
The upper bound is \[ \_ \] .
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F419f968d-a13f-447b-b9f1-70dfcb71f1bc%2F7d32ef12-4460-4e1d-8e59-b3097d2568ee%2Fj993sij_processed.png&w=3840&q=75)
Transcribed Image Text:A simple random sample of size \( n = 17 \) is drawn from a population that is normally distributed. The sample mean is found to be \( \bar{x} = 59 \) and the sample standard deviation is found to be \( s = 13 \). Construct a 95% confidence interval about the population mean.
---
The lower bound is \[ \_ \] .
The upper bound is \[ \_ \] .
(Round to two decimal places as needed.)
![The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.
Travel Tax Data (in dollars):
- 68.94
- 79.19
- 69.97
- 84.72
- 80.04
- 85.62
- 101.06
- 98.61
Click the icon to view the table of critical t-values.
### Questions and Solutions:
**(a) Determine a point estimate for the population mean travel tax.**
A point estimate for the population mean travel tax is **$83.52**. (Rounded to two decimal places as needed.)
**(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.**
Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
- **A.** One can be [ ]% confident that all the cities have a travel tax between $[ ] and $[ ].
- **B.** The travel tax is between $[ ] and $[ ] for [ ]% of all cities.
- **C.** One can be [ ]% confident that the mean travel tax for all cities is between $[ ] and $[ ].
- **D.** There is a [ ]% probability that the mean travel tax for all cities is between $[ ] and $[ ].
The correct option must be selected and completed based on applied statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F419f968d-a13f-447b-b9f1-70dfcb71f1bc%2F7d32ef12-4460-4e1d-8e59-b3097d2568ee%2Fgv6kykf_processed.png&w=3840&q=75)
Transcribed Image Text:The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.
Travel Tax Data (in dollars):
- 68.94
- 79.19
- 69.97
- 84.72
- 80.04
- 85.62
- 101.06
- 98.61
Click the icon to view the table of critical t-values.
### Questions and Solutions:
**(a) Determine a point estimate for the population mean travel tax.**
A point estimate for the population mean travel tax is **$83.52**. (Rounded to two decimal places as needed.)
**(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.**
Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
- **A.** One can be [ ]% confident that all the cities have a travel tax between $[ ] and $[ ].
- **B.** The travel tax is between $[ ] and $[ ] for [ ]% of all cities.
- **C.** One can be [ ]% confident that the mean travel tax for all cities is between $[ ] and $[ ].
- **D.** There is a [ ]% probability that the mean travel tax for all cities is between $[ ] and $[ ].
The correct option must be selected and completed based on applied statistical analysis.
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