Applications of standard error, Applied Statistics

Assignment Help:

Applications of Standard Error

 

  1. Standard Error is used to test whether the difference between the sample statistic and the population parameter is significant or is due to sampling fluctuations.

  2. Standard Error is used to find the precision of the sample estimate of a population parameter. If a statistic θ is used to estimate the parameter, then precision of θ = 56_applications of standard error.png

  3.   It is used to find the interval estimate of a population parameter

 

 

Example 

 

A population consists of four numbers 3, 4, 2, 5. Consider all possible distinct samples of size two and verify that the population mean is equal to the mean of the sample means.

The population mean (μ) = (3 + 4 + 2 + 5) / 4 = 3.5

All possible distinct samples of size two and the corresponding sample means are shown in the following table.

Samples of Size Two and their Sample Means

Sample No.

Samples

Total of the sample values

Sample mean
 [Col. 3] ÷ 2


(1)

(2)

(3)

(4)

1

3,4

7

3.5

2

3,2

5

2.5

3

3,5

8

4.0

4

4,2

6

3.0

5

4,5

9

4.5

6

2,5

7

3.5

Total

...

...

21.0

[Sampling used in the above table is random sampling without replacement and the no. of samples = 4C2 = 6].

Mean of sample means = 21.0/6 = 3.5

Hence, the population mean = 3.5 = the mean of the sample means.


Related Discussions:- Applications of standard error

Initial centroids data set, Find unlabeled data set test.txt and initial ...

Find unlabeled data set test.txt and initial centroids data set centroids.txt in the archive, both files have the following format: [attribute1_value attribute2_value ...

Calculation for discrete series or ungrouped data , Calculation for Discre...

Calculation for Discrete Series or Ungrouped Data The formula for computing mean is = where,          f  = fr

Calculate the length of the rope, The tension, T, in the tow rope pulling t...

The tension, T, in the tow rope pulling the car in Newtons is given in P8.  Determine the minimum length of the rope l, between A and B, so that the tension in either AB or AC equa

The cost of living index, The cost of living index number on a some data wa...

The cost of living index number on a some data was 200. From the base period, the percentage enhances in prices were-Rent Rs 60, clothing Rs 250, Fuel and Light Rs 150 and Miscella

Riemannian integral approximations, Investigate the use of fixed and perce...

Investigate the use of fixed and percentile meshes when applying chi squared goodness-of- t hypothesis tests. Apply the oversmoothing procedure to the LRL data. Compare the res

Ogive graphs, how many types of ogive are there

how many types of ogive are there

Statistical procedures - estimation of a mean, Old Faithful Geyser in Yello...

Old Faithful Geyser in Yellowstone National Park derives its names and fame from the regularity (and beauty) of its eruptions. Rangers usually post the predicted times of eruptions

Expected average time, Question: A car was machine washes each car in 5 min...

Question: A car was machine washes each car in 5 minutes exactly. It has been estimated that customers will arrive according to a Poisson distribution at an average of 8 per hour.

Business forecasting, Meaning and Definitions of Business Forecasting T...

Meaning and Definitions of Business Forecasting The problem of business  forecasting  refers to the  analysis  of the past and  present economic  conditions. With  the objectiv

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