R programm, statistics, Basic Statistics

Assignment Help:
1. Generate a large dataset ( at least 1000 observations) µ with a known mean, µ between 20 and 40 and variance s = 9 using rnorm(). identify it as D. Use the functions mean() and var() to get the mean and vaiance of the sample.
2. Use t.test(D, mu=0) to check if the mean of your realizations, ¯x is signi?cantly
different from zero, from µ1, and from (µ0:1).
3. produce a histogram for D with vertical lines at the 0.25
th
and the 97.5
th
quantiles.
4. generate 10 samples of 20, S1 .....S10 with random means using S1<- rnorm(20,runif(1,min=0,max
= 80)), then calculate means and variances for each.
5. Use t.test(D, S1) to check if the sample means for S1 .....S10 are likely to have come
from the same population as the large distribution D. This Stat Trek webpage is a
good source. You should be using 2-tailed tests.
6. Explain the difference between a one-tailed test and a two-tailed test.
7. Create two variables, x and y, where y is a deterministic linear function of x. Show
the formula you used.
8. Generate a plot of y against x.
9. Calculate the correlation between y and x.covariance of y and x.
10. Create a new variable, yRan, that is like y except that it contains some random noise.
11. Calculate the correlation between yRan and x and the covariance of yRan and x.
12. Add more noise to yRan. Calculate the covariance of yRan and x and the Pearsonian correlation coef?cient. State how adding more noise affects the correlation
coef?cient.
13. Conduct the following experiment. Start with a deterministic function as in part 8
with a positive slope. Add some noise. Now systematically reduce the slope from
positive to negative, taking care to make quite a few observations near zero. Keep
the noise parameters constant. Make a table showing the slope vs the correlation
coef?cient.
14. Plot the slope vs the correlation coef?cient from the previous question and say what
you learn from the exercise.

Related Discussions:- R programm, statistics

Find the probability that a cup of drink chosen at random, Question: (i...

Question: (i) A soft drink machine is regulated so that it fills an average of 300 cL per cup. If the amount of drink in each cup is normally distributed with standard deviati

Calculate stress in the string, question.. A prevent of huge m1 and bodywe...

question.. A prevent of huge m1 and bodyweight w1 = m1g goes on a stage frictionless exterior. It is attached by a gentle versatile string moving past over a little frictionless l

Book-keeping financial, Expertsmind.com offering financial accounting help...

Expertsmind.com offering financial accounting help,The Financial Accounting vs. The Book-keeping issues itself with the producing (correctly and in a set of books) of those dealin

Process capability questions, Objective: Determine process capability The s...

Objective: Determine process capability The sandwich shop†TM s goal I that every sandwich can be completed in less than 1.5 minutes using the following 20 data times: 1.5364 1.58

Assignment, i want you to make my buisiness statistics assignment

i want you to make my buisiness statistics assignment

Define why equipment show up on a profit and loss statement, Define why Equ...

Define why Equipment show up on a profit and loss statement? The buy of devices that will be used in a business is not revealed on the revenue and reduction declaration. Howeve

Newton''s second law, i need to know newton''s second law. my science book ...

i need to know newton''s second law. my science book is glencoe mcgraw 6th grade.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd