document.write( "Question 352616: The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean? \n" ); document.write( "

Algebra.Com's Answer #252009 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean?
\n" ); document.write( "---------
\n" ); document.write( "Ho: u = 3.4
\n" ); document.write( "Ha: u is not 3.4
\n" ); document.write( "---------------------
\n" ); document.write( "x-bar = 3.2
\n" ); document.write( "---
\n" ); document.write( "t(3.2) = (3.2-3.4)/[1.2/sqrt(50)] = -1.1785
\n" ); document.write( "----
\n" ); document.write( "p-value = 2*P(t< -1.1785 when df = 49) = 0.2443
\n" ); document.write( "---
\n" ); document.write( "Since the p-value is greater than 4%, fail to reject Ho.
\n" ); document.write( "The test results support the Ho claim at the 4% significance level.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );