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Let X, , X 2 , • • • , x., be a random sample of size n = S from the normal distribution N(O, 9).
(a) Argue that the ratio R = (X + Xi)/(Xi + · ··+ ..¥;) and its denomi nator (Xi + ··· + ..¥;) are independent.
(b) Does SR/ 2 have an £-distribution with 2 and S degrees of freedom? Explain your answer.
(c) Compute E(R) using Exercise 7.60.
1. Let X1,..., Xn be a random sample from an exponential distribution with parameter θ. A sample of 350 observations from this population has a mean equal to 3.75. Construct a 90% con?dence interval for θ.
in the linear programming formulation of the shortest route problem there is one constraint for each node indicatinga.
The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, with a mean of $70,000 and a standard deviation of $20,000.
data analysis problem for the data set below calculate the following mean or average variance standard deviation mode
if a hypothesis test using a sample of n16 scores produces a t statistic of t2.15 then the correct decision is to
in a study evaluating the effectiveness of a new medication designed to control high blood pressure one sample of
A random sample is obtained from a normal popula- tion with a mean of m 5 95 and a standard deviation of s 5 40. The sample mean is M 5 86. Is this a representative sample mean or an extreme value for a sample of n 5 16 scores?
1.a manufacturer of infant formula is running an experiment using the standard control formula and two new formulas a
The probability that average amount of purchase per weekend from Sam's sample is greater than average amount of purchase per weekend from Katie's sample =
Frequency Distribution for 36 rolls of dice- Find the mean response, Find the variance of response, Find the standard deviation s and Find Standard Error SE
1.experiments on learning in animals sometimes measure how long a laboratory rat takes to find its way through a maze.
of 20 rats in a cage 12 are males and 9 are infected with a virus that causes hemorrhagic fever. of the 12 male rats 7
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