contestada

Sampling distribution. a quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. consider the values of 1, 2, and 5 to be a population. assume that samples of size 2 are randomly selected (with replacement) from the population
a. list the 9 different possible samples and find the mean of each sample
b. what is the mean of the sample means from part a?
c. is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? are those means always equal?

Respuesta :

(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

(b) The mean of the sample means from part (a) is 8/3.

(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.

According to the questions,

Game number                          1      2        3      Total

Number of interceptions         1        2       5          8

a)   Element 1            Element 2

    1                              1

    2                            2

    5                            5

    1                             2

    1                            5

  2                             5

  2                              1

  5                               1

   5                              2

Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

b) The mean of the sample means from part a.

     (1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3

The mean of the sample means from part (a) is 8/3

c) Mean of the populations = (1+2+5)/3 = 8/3

   The mean of the sample distribution from part b. is 8/3

Yes, The mean of the sample distribution is always equal to the mean of the Population

Learn more about mean here

https://brainly.com/question/2725330

#SPJ4

Otras preguntas