Question

A population consists of the following fives values: 14, 15, 16, 18, 22.

a. List all samples of size 3, and compute the mean of each sample.

b. Compute the mean of the distribution of sample means and the population mean. Compare the two values.

c. Compare the dispersion in the population with that of the sample means.

Show your answer in the form of an Excel table.

Answer 1

Pofulahion consist of the olloingre values A Computc the meem of the alishibuhon of somtle meon And the meon of 1411 S, 16 18,22 oy_e list oli samele op sze 3 and compute the S, is , 1, 1, 17.33, 8, 16-33, 17 , 18 33, 1s., mceum of eoeh sample 14.IS. I6 : m-a?? 15 14, 1S,8 14,, 22 14, 16, 8 14,, 22 4, 18, 22 mcon 18 S,16 18 S,16 22 S, 18, 2 2 S 181 22 15, , 1 IS & 17,S 1-33, 16, 17-3, 17-6, 15.66, 1, 8, Is 33 mean 15 6 17 8-33, 18, 1,7.33, 1, 176, 13.33, 18-6 = 509-si Compute the PoPulahon meam. ahd the meon of 45, ,13 Comare the two valses mean I7.33 16:992 30 meam meon meam 18.3.3 The meam of the somple rcon is the some os the ncon of Pofulation 1S,u 22 ニ17 meon 16, 14IS mean:15 mcom E = 16.33 C1 cemare the dlisPerhon 16114, 18 6, 14, 22 16, Is, 22 St 11S , I416 in the Potulahon oith that Ronge of the Potulehen is Romge of the Somple mcen is 17.33 sonple meon mean 22-14 요 mean 16 S IS, 22 8 6,22 22, 14, 1S 22, 14,ไอ้ 22, 14,'8 22,1S, 16 mean ニ18-33 13-66 IS 8.68 he SomPe meons ore less disterged then the PoPulathisn mean mean-17.6c : meanニ18.CC