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STAT 245 (11)

# Rev 4A.pdf

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Department
Statistics
Course
STAT 245
Professor
William Laverty
Semester
Winter

Description
Review Questions 4 for Final Exam solutionsILetX be the time it takes a runner to complete a 1500 meter raceIt is known that for this specific runner the random variable X has a normal distribution with mean 2500 seconds and standard deviation 65 secondsCompute the probability thataThe runner completes his next 1500 meter race in under 4 minutes250240250X 06180541sec240min4ZPPXPXP5656bThe runner takes between 245 and 252 seconds to complete his next 1500 meter race250252250250245X40110310770252245ZPPXP565656cIn the next n5 races the runners average time to complete the race is under 252 seconds250252250X7549690252ZPPXP556556dIn the next n3 races the runners average time to complete the race is between 245and 254 seconds250254250250245X76590071331254245ZPPXP356356356eIn the next n5 races the runner beats the time of 245 seconds exactly 3 times250245250X22090770245ZPPXPp5656523065207791220903p3fIn the next n5 races the runner beats the time of 245 seconds at least 4 times550514pp 009807791220907791220905454IITable I1 gives scores on a university math proficiency test for n24Ontariostudents who had completed grade 13 Table I2 gives scores on the same university math proficiency test for m30 Ontario students who were required only to complete grade 12TABLE I1 605569906174737275767475717474618077577353568570Page1
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