Suppose that the average travel time to work in Kitchener, Ontario, is 27.4 minutes. Suppose a business researcher wants to estimate the average travel time to work in Saskatoon, Saskatchewan, using a 95% level of confidence. A random sample of 45 Saskatoon commuters is taken and the travel time to work is obtained from each. The data follow. Assuming a population standard deviation of 5.535, compute a 95% confidence interval on the data. What is the point estimate and what is the error of the interval? How do commuting times in Kitchener and Saskatoon compare?
Suppose that the average travel time to work in Kitchener, Ontario, is 27.4 minutes. Suppose a business researcher wants to estimate the average travel time to work in Saskatoon, Saskatchewan, using a 95% level of confidence. A random sample of 45 Saskatoon commuters is taken and the travel time to work is obtained from each. The data follow. Assuming a population standard deviation of 5.535, compute a 95% confidence interval on the data. What is the point estimate and what is the error of the interval? How do commuting times in Kitchener and Saskatoon compare?
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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![Suppose that the average travel time to work in Kitchener, Ontario, is 27.4 minutes. Suppose a business researcher wants to estimate the average travel time to work in Saskatoon, Saskatchewan, using a 95% level of confidence. A random sample of 45 Saskatoon commuters is taken and the travel time to work is obtained from each. The data follow. Assuming a population standard deviation of 5.535, compute a 95% confidence interval on the data. What is the point estimate and what is the error of the interval? How do commuting times in Kitchener and Saskatoon compare?
Data (minutes):
27, 25, 19, 21, 24, 27, 29, 34, 18, 29, 16, 28, 19, 32, 27, 28, 22, 20, 14, 14, 29, 28, 29, 33, 13, 29, 28, 28, 27, 23, 27, 20, 27, 25, 21, 18, 20, 14, 23, 27, 27, 21, 25, 28, 30
*Round your answer to 3 decimal places.
**Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.
\[ \text{Lower bound} \leq \mu \leq \text{Upper bound} \]
**Point Estimate:**
\[ \text{The point estimate is} \, \underline{\hspace{50px}}. \]
**Error of the Interval:**
\[ \text{Error of the interval:} \, \underline{\hspace{50px}} \]
Commuting time in Saskatoon is between \underline{\hspace{50px}} and \underline{\hspace{50px}} minutes. It is \underline{\hspace{50px}} than 27.4 minutes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ff8a9d1-27d7-4c01-984f-c0979e8297f8%2F2e72dcb4-afd1-47b6-9167-1efbff4cdd4d%2Fl3cmwd_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that the average travel time to work in Kitchener, Ontario, is 27.4 minutes. Suppose a business researcher wants to estimate the average travel time to work in Saskatoon, Saskatchewan, using a 95% level of confidence. A random sample of 45 Saskatoon commuters is taken and the travel time to work is obtained from each. The data follow. Assuming a population standard deviation of 5.535, compute a 95% confidence interval on the data. What is the point estimate and what is the error of the interval? How do commuting times in Kitchener and Saskatoon compare?
Data (minutes):
27, 25, 19, 21, 24, 27, 29, 34, 18, 29, 16, 28, 19, 32, 27, 28, 22, 20, 14, 14, 29, 28, 29, 33, 13, 29, 28, 28, 27, 23, 27, 20, 27, 25, 21, 18, 20, 14, 23, 27, 27, 21, 25, 28, 30
*Round your answer to 3 decimal places.
**Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.
\[ \text{Lower bound} \leq \mu \leq \text{Upper bound} \]
**Point Estimate:**
\[ \text{The point estimate is} \, \underline{\hspace{50px}}. \]
**Error of the Interval:**
\[ \text{Error of the interval:} \, \underline{\hspace{50px}} \]
Commuting time in Saskatoon is between \underline{\hspace{50px}} and \underline{\hspace{50px}} minutes. It is \underline{\hspace{50px}} than 27.4 minutes.
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