Assignment 11 - CE93-Engineering Data Analysis Prof. Joan...

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CE93-Engineering Data Analysis Prof. Joan Walker, Spring 2011 Assignment 11 Due 04/25/2011 11:10 AM 1. If X is a normal random variable with mean and standard deviation , then the following is true: ± ² ³ ´µ´¶·¸¹º» Let ¼ ½ be the mean of X 1 …X n , where all X i are normally distributed with mean and standard deviation  Show, using the formula above and what you know about expected value / variances, that the following is true: ¾ ± ² ³¿ÀÁ ´µ´¶·¸¹º» 2. Students in the CE 262 class were asked to report their travel time from their residence to the UC Berkeley campus. The results are given below: FEMALES MALES time (min) time (min) 15 45 40 45 40 35 38 20 15 15 25 7 30 20 15 40 30 30 40 45 55 37 30 20 35 7 35 15 15 25 20 20 25 7 19 Assume that these observations represent random samples drawn from the populations of Berkeley male and female graduate students, which are normally distributed and assumed to have equal variances. Test the null hypothesis that Berkeley male and female graduate students have the same
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Assignment 11 - CE93-Engineering Data Analysis Prof. Joan...

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