The correct answer from the options that the shape of the sampling distribution of
Answer to Problem 10PT
The correct answer is (e).
Explanation of Solution
Given information:
Payment for the week if the coin comes up heads = $80
Payment for the week if the coin comes up tails = $40
Number of weeks of work = 100
Number of weeks for SRS = 2
Given the number of week for SRS is 2.
This means, the average amount could be $40 for two weeks, $80 for two weeks or $60 ($40 for one week and $80 for the other week).
It is seen that getting $60 is twice likely because on the first week $40 can be obtained and $80 on the second week or vice versa.
Thus, the distribution will be symmetric about $60 and it will also be normal.
Hence, the correct answer is (e).
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