# TP#23_f08 - CE 3102 Fall 2008 Thought Problem 23 If the...

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CE 3102 Fall 2008 Thought Problem 23 If the Distribution Fits, Use It! Recall the vehicle speed data from Highland Ave eastbound, that we saw in Homework #1. Below is a frequency tabulation of the observed vehicle speeds: Speed Range(mph) Frequency 0-21 4 21-24 5 24-27 15 27-30 31 30-33 15 33-36 6 36- 2 Total 78 Recall also that the average speed for this sample was 28.3 mph, and the estimated standard deviation was 3.8 mph. Test the hypothesis that the speeds are normally distributed, at the 0.10 significance level.

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Thought Problem 23 If the Distribution Fits, Use It! Instructor’s Partial Solution Speed Range(mph) O i p i E i (O i -E i ) 2 /E i 0-21 4 .027 2.11 1.69 21-24 5 .102 7.96 1.10 24-27 15 .237 18.49 0.66 27-30 31 .307 23.95 2.08 30-33 15 .219 17.08 0.25 33-36 6 .087 6.79 0.09 36- 2 .021 1.64 0.08 Total 78 5.95 Let’s go through our 6-step program for testing hypotheses. 1. State hypotheses: H0: The speeds are normally distributed HA: The speeds are not normally distributed 2. Determine test statistic:
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TP#23_f08 - CE 3102 Fall 2008 Thought Problem 23 If the...

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