Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Large Sample Test for Mean
A random sample of size n (n > 30) has a sample mean . To test the hypothesis that the population mean μ has a specified value μ0 let us formulate the Null Hypothesis as H0: μ = μ0 .
The Alternative Hypothesis is (i) H1: μ ≠ μ0 or (ii) H1: μ > μ0 or (iii) H1: μ < μ0 . Since n is large, the sampling distribution of is approximately normal.
If H0 is true, the test statistic z = has approximately a standard normal distribution. The critical region for z depending on the nature of H1 and level of significance α is given below:
Level of significance ( α )
10%
5%
1%
Critical region for μ ≠ μ0
| z | > 1.64
| z | > 1.96
| z | > 2.58
Critical region for μ > μ0
z < -1.28
z < -1.64
z < -2.33
Critical region for μ < μ0
z > 1.28
z > 1.64
z > 2.33
Empirical Mode Where mode is ill-defined, its value may be ascertained by the following formula based upon the empirical relationship between Mean, Median and Mode: Mode = 3
Advantages of Sampling Why should we settle on a sample instead of studying the entire population? Sampling has the following advantages over a census (study of the entire pop
The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to
Binomial Distribution Binomial distribution was discovered by swiss mathematician James Bernonulli, so this distribution is called as Bernoulli distribution also, this is a d
Standard Deviation The concept of standard deviation was first introduced by Karl Pearson in 1893. The standard deviation is the most important and the popular measure of disp
Random Sampling Method In this method the units are selected in such a way that every item in the whole universe has an equal chance of being included. In the words of croxton
discuss the mathematical test of adequacy of index number of formulae. prove algebraically that the laspeyre, paasche and fisher price index formulae satisfies this test. What is
Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3. Using table(), or
#In planning the teaching assignments for next semester, Mr. Hinton must have a teacher in each of the 7 grades during each of the 6 periods of the day. If he has 10 teachers to ch
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd