True/False. Each of the following statements can be TRUE or FALSE. Mark "T" if true or "F" if false in the parenthesis below for each statement. (There is no need to show the calculation procedure or explanations). (1) ( ) S² (sample variance) is an unbiased estimator of o' only when the distribution of the population is normal. (2) ( (3) ( ) Stem-and-leaf diagram can be used to investigate the distribution shape, central tendency and spread of a set of data. ) Sample average (X) of n independent normal random variables follows a normal distribution only if n is large (n>30). (4) ( ) if F follows an F distribution with v₁ and v2 degrees of freedom, (F~ F(v₁,v₂)) then follows an F distribution with v2 and v₁ degrees of freedom F

Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 115 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 75 and standard deviation 17Round your answer for the standard error to two decimal places.standard error = Enter your answer in accordance to the question statement

Suppose the mean and variance of variable X are given respectively by μ = 30.9 and Var(X) =4.4. What is the average of the squared values of variable X?

Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 1% of the cases. A random sample of 1100 people who have stopped using the painkiller is going to be taken. Let p be the proportion of people in the sample who experience withdrawal symptoms. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P<0.02), which is the probability that fewer than 2% of the people in the sample experience withdrawal symptoms. Round your answer to four decimal places. 0 X

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