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Sta1501 Assignment 1

STA1501/101/3/2017B.3Assignment 03ONLY FOR SEMESTER 2 STUDENTSASSIGNMENT 03Unique Nr.: 851949Fixed closing date: 22 September 2017Study Chapters 9, 10, 11 and 12 of the prescribed textbook before attempting to answer thisassignment. Give full calculations (show all workings), using correct mathematical and statisticalnotation.The following study structure may be of help.ChapterQuestionStudy Chapter 9Answer: Q1, Q2Study Chapter 10Answer: Q6Study Chapter 11Answer: Q5Study Chapter 12Answer: Q3, Q4, Q5, Q6, Q7QUESTION 1Suppose we draw a random sample of size36from an infinite normal population with mean&D80and variance±2D49.(a) Give the mean and the standard deviation of the sampling distribution of the sample meanx(3)(b) Compute the probability thatXwill lie between78and82.(5)(c) Find the probability that the sample mean deviates from the population mean&D80by nomore than3:(5)(d) The probability that a single random observation will lie between78and82isP.78&X&82/D0:2282. Does it make sense that the answer to (b) and the given probabilitydiffer to such an extent? Comment briefly.(2)[15]QUESTION 2A random selection of64households was selected for a telephone survey. The key question askedwas, "Do you or any member of your household own a cellular telephone that you can use toaccess Internet?" Of the64respondents32said yes and32said no. The population proportion ispD0:70:47

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