Question

Question 1:

In the normal error simple linear regression model, suppose all
assumptions hold except constancy of error variance with respect to
X. Suppose E(Y) = V(Y). What transformation of y works to stabilize
the variance?

Question 2:

Let Y1,Y2,...Yn be a random sample for a normal distribution with
mean 10 and variance 4. Let Y(k) denote the Kth order statistics of
this random sample. Approximate the probability:

P(Y(k) <= 8.5) , if K =15 and n = 50.

Please show all the work. Thank you

Answer #1

Part
1
What assumptions need
to be satisfied in order to perform ANOVA? Select all that
apply.
a) The observations from each group (or treatment
or population) should adhere to
approximately normal distributions.
b) The variances (or standard deviations) of the
groups (or treatments or
populations) should be the same.
c) The samples must be simple random samples, and
independent of each other.
d) The sample sizes for the groups must be exactly
the same, and also happy.
Part 2...

*Answer all questions using R-Script*
Question 1
Using the built in CO2 data frame, which contains data from an
experiment on the cold tolerance of Echinochloa crus-galli; find
the following.
a) Assign the uptake column in the
dataframe to an object called "x"
b) Calculate the range of x
c) Calculate the 28th percentile of
x
d) Calculate the sample median of
x
e) Calculate the sample mean of x and
assign it to an object called "xbar"
f) Calculate...

Problem 1: Relations among Useful Discrete Probability
Distributions. A Bernoulli experiment consists of
only one trial with two outcomes (success/failure) with probability
of success p. The Bernoulli distribution
is
P (X = k) =
pkq1-k,
k=0,1
The sum of n independent Bernoulli trials forms a binomial
experiment with parameters n and p. The binomial probability
distribution provides a simple, easy-to-compute approximation with
reasonable accuracy to hypergeometric distribution with parameters
N, M and n when n/N is less than or equal...

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