The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are

Question

3 years ago

9

The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are

randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.

Mathematics

1 answer:

g100num [7] · Answer 1 · 2021-11-13T18:10:21+03:00

Answer:

the answer is below

Step-by-step explanation:

We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)

in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean

x1 x2 probabilityP(x1,x2) sample mean

190 190 1/16 190

190 100 1/16 145

190 272 1/16 231

190 74 1/16 132

100 190 1/16 145

100 100 1/16 100

100 272 1/16 186

100 74 1/16 87

272 190 1/16 231

272 100 1/16 186

272 272 1/16 272

272 74 1/16 173

74 190 1/16 132

74 100 1/16 87

74 272 1/16 173

74 74 1/16 74

Summarizing above with adding duplicate values

sample mean probability

74 1/16

87 1/8

100 1/16

132 1/8

145 1/8

173 1/8

186 1/8

190 1/16

231 1/8

272 1/16