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Question 1 (a) Suppose the lifetime of ABC light bulbs follows a normal distribution with mean lifetime of 800 hours and standard deviation of 60 hours. Compute the probability that a random sample of 16 light bulbs will have mean lifetime of: (i) between 790 and 810 hours.(ii) less than 785 hours.  (iii) more than 820 hours. 
(b) A survey questionnaire was sent to 100 students. Assume the probability that any one of these students would reply is 0.2. Using the normal approximation method, solve and compute the probability of getting at least 15 replies.  (c) A one-sample t test was conducted using R commands. The output results and the 95 % confidence interval are shown in Table Q1
(c). Comment on the statistical significance of the null hypothesis.

MTH220E Statistical Methods and Inference

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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.

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BA3202QA Using and Managing Data and Information

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