Large sample test for mean, Applied Statistics

Assignment Help:

Large Sample Test for Mean

A random sample of size n (n > 30) has a sample mean   218_computation of covariance ungrouped data2.png . 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  218_computation of covariance ungrouped data2.png   is approximately normal.

If H0 is true, the test statistic z =   911_large sample test for mean.png   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                                 


Related Discussions:- Large sample test for mean

Find relative maxima and minima, Q. Find relative maxima and minima? Wh...

Q. Find relative maxima and minima? When finding relative maxima and minima in the Chapters absolute extrema problem, don't forget to use the first or second derivative test to

Determine the compressive force, The weight of the engine in kN is given in...

The weight of the engine in kN is given in P2 and is suspended from a vertical chain at A. A second chain round the engine is attached at A, with a spreader bar between B and C. Th

Calculate the line of best fit, The manager of Pizza Hut provides a deliver...

The manager of Pizza Hut provides a delivery service for customers who telephone in an order. The manager would like to give callers an idea of the time it will take to deliver an

Discriminant analysis, Discriminant analysis (DA) helps to determine which ...

Discriminant analysis (DA) helps to determine which variables discriminate between two or more naturally occurring groups. Mathematically equivalent to MANOVA, it ' is extensively

Liner programming , Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Index number, "index number is an economic barometer" comment on this state...

"index number is an economic barometer" comment on this statement

Quantitative Models, Consider the following new business venture. An agent ...

Consider the following new business venture. An agent is considering investment in one of three real estate parcels: • Option 1: multiunit rentals • Option 2: commercial building

Calculate the frequency distribution, The Neatee Eatee Hamburger Joint spec...

The Neatee Eatee Hamburger Joint specializes in soyabean burgers. Customers arrive according to the following inter - arrival times between 11.00 am and 2.00 pm: Interval-arrival

Cluster sampling, Cluster Sampling This method is also known as multi s...

Cluster Sampling This method is also known as multi stage sampling .Under this method random selection is made of the ultimate or final units from a given stratum. The sampling

Main effects and interactions, what is the independent variable in how ener...

what is the independent variable in how energetic do people feel after drinking different types of soft drints?

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