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

#title.research.methods and statistics, identify a research report publishe...

identify a research report published by reputable agencies and evaluate the following ;the problem that was addressed

Hypothesis and statistical test, College administrators across the country...

College administrators across the country have become very concerned after noticing an increase in the number of deaths in college students from binge drinking.  Several psychologi

TIME SERIES, Graphical representation of freehand and semi average method

Graphical representation of freehand and semi average method

Ascertain the profit & loss, Depreciation during the financial year  The...

Depreciation during the financial year  The Resources which are bought during the economical season and its determined that the Depreciation will be incurred on them @ 10% PA it

Job order costing, what are the procedure of job order costing

what are the procedure of job order costing

Probability, the probability that you win a game is 0.3. if you play the ga...

the probability that you win a game is 0.3. if you play the game 20 times. what is the probability that you will win at least 8 times?

Histogram and historigram, show the differences between histogram and histo...

show the differences between histogram and historigram

Angler survey, Angler survey A survey used by sport fishery managers t...

Angler survey A survey used by sport fishery managers to calculate the total catch, fishing effort and catch rate for the given body of water. For instance, the whole effort m

Calculate a confidence interval for the population, A Shoe manufacturing co...

A Shoe manufacturing company designs a new shoe (Brand A) and it wanted to compare its fit with that of the leading brands in the market Nike and Reebok. 27 Customers were asked to

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