2 11 points David wants to compute whether an alternate rout

2. (11 points) David wants to compute whether an alternate route to work would be quicker. For the next 58 working days he randomly divides his observations into two groups of 29 days each. He drives the first route for one set of 29 days and drives the second for the other set of 29 days recording, for each day, the commuting times in minutes. Assume that times of commute are normal. Route 1 n=29 sample mean = 31.945 s=5.87 Route 2 n=29 sample mean = 28.105 s=6.24 The numerator and denominator degrees of freedom______,______ Give the test statistic_________________ What is your decision regarding common variance ___________________________________________________________________ ___________________________________________________________________ State the hypothesis to test if route two is quicker than route one. Ho: Ha:_________________________ The test statistic is ____ The p-value is The degrees of freedom are_______________ The decision is __________________________________________________________ Route 2 (does/does not) appear to be quicker. State the F critical value from the F table that was used in part d____________ State the pooled variance__________________

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