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Given X, and x, distributions that are normal or approximately normal with unknown o, and on, the value of t corresponding to X, - X, has a distribution that is approximated by a Student's t distribution. We use the convention that the degrees of freedom is approximately the smaller of n - 1 and n, - 1. However, a more accurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula: 2 2 xn2 522 +$22) d.f. z...
The uniform, normal, and exponential distributions a. are all continuous probability distributions. b. are all discrete probability distributions. c. are all the same distributions. d. can be either continuous or discrete, depending on the data.
The distributions with large n don't need to be normal, but these are. In this problem you do not know the population standard deviation. The mean for the first set ¯xx¯ 1 = 12.346 with a standard deviation of s1 = 2.215 There sample size was 14. The mean for the first set ¯xx¯ 2 = 12.181 with a standard deviation of s2 = 1.888 There sample size was 21. Find the degrees of freedom. (round to 2 places) The formula is the...
Discussion-Normal Probability Distributions The probability that an observation taken from a standard normal population will be between -1.96 and 1.28 is ? Explain results.
Can statistical analysis be done on distributions that are not "normal"? Explain in detail.
If X and Y are two non-independent normal distribution whose joint distributions is bivariate normal with correlation p, what is Var(XY)?
O RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Basic Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-c<Z<c)=0.9500 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. x 5 ?
O RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Advanced Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(0.6<Z<c)-0.2573 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. 1× 5 ? Explanation Check PROBABILITY The curious die A peculiar die has the following properties: on any roll the probability of rolling either a 2, a 5, or a lis just...
Calculate the required probabilities for the normal distributions with the parameters specified in parts a through e. a. u = 5,0 = 4; calculate P(0 < x < 6). P(0<x< 6) = (Round to four decimal places as needed.) b. = 5,0 = 5; calculate P(0 < x < 6). PlO< x < 6) = (Round to four decimal places as needed.) C. M = 4,0 = 4; calculate P(0 < x < 6). P(0 < x < 6) =...
Calculate the required probabilities for the normal distributions with the parameters specified in parts a through e. a. μ = 5, σ = 4; calculate P(0 < x < 6). P(0 < x < 6) = ______ . (Round to four decimal places as needed.) b. μ = 5, σ = 5; calculate P(0 < x < 6). P(0 < x < 6) = ______ . (Round to four decimal places as needed.) c. μ = 4, σ = 4;...