37. Simple Random Sample vs. Random Sample Refer to the definition of simple ran

Question

37. Simple Random Sample vs. Random Sample Refer to the definition of simple random sample on page 27 and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample. a. A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.
b. For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuµed and six names are drawn from the top.
c. For the same class described in part (a), the six youngest students are selected.

Can someone explain why is part A a random sample and not a simple random sample? Is it because of the die? 37. Simple Random Sample vs. Random Sample Refer to the definition of simple random sample on page 27 and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample. a. A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.
b. For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuµed and six names are drawn from the top.
c. For the same class described in part (a), the six youngest students are selected.

Can someone explain why is part A a random sample and not a simple random sample? Is it because of the die? 37. Simple Random Sample vs. Random Sample Refer to the definition of simple random sample on page 27 and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample. a. A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.
b. For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuµed and six names are drawn from the top.
c. For the same class described in part (a), the six youngest students are selected.

Can someone explain why is part A a random sample and not a simple random sample? Is it because of the die?

Explanation / Answer

a) Simple random sample because it is not eqaully probable for any student to be chosen but depends also on his/hr group. Like, it would group students in groups of 6 and this would determine if they are chosen or not.

b) Simple random sample because it is eqaully probable for any student to be chosen.

c) This is not a random sample but a biased sample.

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