SOLUTION: Can anybody help me with this question? The question is:
Develop a 90 percent confidence interval for the population mean. Interpret the results.
The Greater Pittsburgh Area Ch
Algebra.Com
Question 241409: Can anybody help me with this question? The question is:
Develop a 90 percent confidence interval for the population mean. Interpret the results.
The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are employed in the downtown area spend getting to work. A sample of the 15 workers reveals the following number of minutes spent traveling.
29 38 38 33 38 21 45 34
40 37 37 42 30 29 35
Develop a 98 percent confidence interval for the population mean. Interpret the results.
Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Develop a 90 percent confidence interval for the population mean. Interpret the results.
The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are employed in the downtown area spend getting to work. A sample of the 15 workers reveals the following number of minutes spent traveling.
29 38 38 33 38 21 45 34
40 37 37 42 30 29 35
------------
sample mean = 35.067
sample std = 6.017
-------
standard error = z*s/sqrt(n)
standard error = 1.645*6.017/sqrt(15) = 2.556
-------------------------------------------------------
90% CI: 35.067-2.556 < u < 35.067+2.556
90% CI: 32.511 u < 37.62
======================================================
Develop a 98 percent confidence interval for the population mean. Interpret the results.
Use the z-value for 98%: z = 2.3263
sample mean is the same as above
standard error = 2.3263*6.017/sqrt(15)=3.614
---
98% CI: 35.067 - 3.614 < u < 35.067 + 3.614
98% CI: 31.45 < u < 38.68
---------------------------------
Meaning: We have 98% confidence the population mean is between
31.45 and 38.68
==============================================
Cheers,
Stan H.
RELATED QUESTIONS
Can someone please help me solve this? Thank you so much.
The owner of Britton’s Egg... (answered by stanbon)
Hi,
Can you please help me with this question?
A study of 100 QDA professors showed... (answered by stanbon)
Nine software engineers were interviewed to develop an estimate for software lines of... (answered by stanbon)
The U.S. Dairy Industry wants to estimate the mean yearly milk
consumption. A sample... (answered by coursehelpcj)
The American Sugar Producers Association wants to estimate the mean yearly sugar... (answered by JBarnum)
Families USA, a monthly magazine that discusses issues related to health and health... (answered by stanbon)
Hi. Please help me solve stats question
Suppose scores on exams in statistics are... (answered by Theo)
Playbill magazine reported that the mean annual household income of its readers is... (answered by rothauserc)
Another Question , Help Please
A survey of 20 randomly sampled judges employed by the (answered by stanbon,rothauserc)