Problem 1 and 2 Please solve all problems. No work neccesary.

Problem 1 - TRUE or FALSE (Answer these on this midterm sheet) - 1 pt each a) If on has an iid sample X1,.. .Xn with Xi ~ Norm(J, 02), then X ~ Norm(J, 02) ( )True ( )False b) The Range, IQR and Standard Deviation can be less than 0 ( )True ( )False C) A type II error is when one rejects the Null Hypothesis when it is indeed true ( )True ( )False d) If A and B are mutually exclusive events, then they have no outcomes in common ( )True ( )False e) A (1 - a)% confidence interval covers the true population mean, ju, with probability a ( )True ( )False f) If S is the sample space, then Pr(S) = 1 True ( )False g) A pdf, gives the probability a continuous random variable, X, takes on the value x ( )True ( )False A Bernoulli random variable is a discrete random variable ( )True ( )False i) The normal distribution is the only distribution with a bell-shaped pdf ( )True ( )False j) A positively skewed distribution is the same thing as a right skewed distribution ( )True ( )False Problem 2 - Below is a dotplot of the observations in a dataset. 14 12 10 8 ONA 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 (a) Find the sample size for this dataset. - 1 pt (f) Find the median for this dataset. - 1 pt (b) Find the mode for this dataset. - 1 pt (g) Find the 1st Quartile for this dataset. - 1 pt c) Find the min for this dataset. - 1 pt h) Find the 3d Quartile for this dataset. - 1 pt (d) Find the max for this dataset. - 1 pt (i) Find the IQR for this dataset. - 1 pt (e) Find the range for this dataset. - 1 pt