# 0.1 level of confidence question

<p>Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. Inorder to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven trips viathe 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips:<br /><br />10 Freeway<br />69, 67, 69, 74, 62, 69,71, 71, 74, 71, 77<br /><br />60 Freeway<br />75, 75, 71, 75, 75, 76, 70, 80, 79, 70, 69<br /><br />Assume that the two populations oftravel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1level of significance, that the mean travel times of thetwo routes are different?<br />Perform a two-tailed test.<br /><br />The null hypothesis:<br />The alternative hypothesis:<br />The typeof test statistic (if necessary list degrees of freedom):<br />The value of the test statistic (round to at least three decimal places):<br />The twocritical values at the 0.1 level of significance (round to at least three decimal places):<br />Can we conclude that the mean travel times of the two routes aredifferent? Yes or No</p>