Q2. (a) State TRUE or FALSE for each of the following statements. (i) (ii) (1 mark) (iii) The range of values for the sa

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Q2 A State True Or False For Each Of The Following Statements I Ii 1 Mark Iii The Range Of Values For The Sa 1 (107.89 KiB) Viewed 28 times

Q2. (a) State TRUE or FALSE for each of the following statements. (i) (ii) (1 mark) (iii) The range of values for the sampling distribution of means is larger than the range of scores in the population. (1 mark) The Central Limit Theorem requires that all samples are randomly selected from a single population. (1 mark) (iv) The Central Limit Theorem gives the exact probability of estimating the true mean. (1 mark) The Central Limit Theorem only applies when the population distribution is normal. CONFIDENTIAL 2 (iii) BIC 10603 CONFIDENTIAL (b) A random sample of 50 cars was taken from the population of 5000 cars. The average commuting time for the population is 45 minutes with standard deviation of 15 minutes. (i) Determine the probability that the sample mean is within 5 minutes from the population mean. (6 marks) (ii) Explain whether the answer in Q2(b)(i) is exact or an estimate. (2 marks) Determine the probability in Q2(b)(i) by using the sample size of 200. (8 marks)