The following results were obtained from a survival study, using the Product-Limit estimator: Ŝ(1) t 17 0.957 0.0149 25 0.888 0.0236 32 0.814 0.0298 36 0.777 0.0321 39 0.729 0.0348 42 0.680 0.0370 44 0.659 0.0378 47 0.558 0.0418 50 0.360 0.0470 54 0.293 0.0456 56 0.244 0.0440 57 0.187 0.0420 59 0.156 0.0404 62 0.052 0.0444
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- Q2. The sampling distribution of means tends toward Normality only when the underlying populations is Normal. This is true of Central Limit Theorem. TrueB. FalseC. None of the aboveWhich of the following statement is not correct about the central limit theorem? Group of answer choices As the sample size n increases, the standard deviation of the averages stay constant As the sample size n increases, the mean of the averages is the same as the population mean As the sample size n increases, the graph of the averages approaches the normal curve. As the sample size n increases, the standard deviation of the averages get smaller.STATE: Andrew plans to retire in 4040 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that from 1966 to 2015, the annual returns on S&P 500500 had mean 11.0%11.0% and standard deviation 17.0%17.0% . PLAN: The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. We can use the Central Limit Theorem to make an inference. SOLVE: What is the probability, ?1p1 , assuming that the past pattern of variation continues, that the mean annual return on common stocks over the next 4040 years will exceed 10%10% ? (Enter your answer rounded to two decimal places.) ?1= What is the probability, ?2 , that the mean return will be less than 5%5% ? (Enter your answer rounded to two decimal places.) ?2=