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dalvyx [7]
3 years ago
12

Assume a population of 46, 51, 53​, and 59. Assume that samples of size nequals=2 are randomly selected with replacement from th

e population. Listed below are the sixteen different samples. Complete parts ​(a​) through ​(c​). 46​,46 46​,51 46​,53 46​,59 51​,46 51​,51 51​,53 51​,59 53​,46 53​,51 53​,53 53​,59 59​,46 59​,51 59​,53 59​,59 a. Find the median of each of the sixteen​samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

Step-by-step explanation:

There are four values 46, 51, 53, 59

we have to draw 2 sampler with replacement

sampler     median     samler     median

46.46              46          53.46         49.5

46.51               48.5        53.51          52

45..53              49.5        53.53         53

46.59               52.5        53.59         56

51.46                 48.5        59.46        52.5

51.51                   51           59.51           55

51.53                   52          59.53          56

51.59                   55          59.59          59

sampling distribution of the median

median                   probability

46                               1/16

48.5                             2/16      

49.5                             2/16  

52.5                             2/16    

51                                  1/16

52                                2/16

55                                 2/16

53                                  1/16

56                                  2/16

59                                   1/16    

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Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

a = 2 --- initial

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