A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?

Since the sample size is increased, the variability will increase.
Since the sample size is increased, the variability will decrease.
Since the sample size is increased, the variability of the population will increase.
Since the sample size is increased, the variability of the population will decrease.

Question

05-03-2021
Mathematics

Answered

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A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?

Since the sample size is increased, the variability will increase.
Since the sample size is increased, the variability will decrease.
Since the sample size is increased, the variability of the population will increase.
Since the sample size is increased, the variability of the population will decrease.

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