A fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3.5 and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded. The mean and standard deviation of the results of the simulation should be close to which of the following? Mean 3.5 and standard deviation 1.7078 Mean 3.5 and standard deviation 0.7638 Mean 3.5 and standard deviation 0.0854 Mean 17.5 and standard deviation 1.7078 Mean 17.5 and standard deviation 0.7638

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A fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for
the random variable has mean 3.5 and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the
sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded.
The mean and standard deviation of the results of the simulation should be close to which of the following?
Mean 3.5 and standard deviation 1.7078
Mean 3.5 and standard deviation 0.7638
Mean 3.5 and standard deviation 0.0854
Mean 17.5 and standard deviation 1.7078
Mean 17.5 and standard deviation 0.7638
Transcribed Image Text:A fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3.5 and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded. The mean and standard deviation of the results of the simulation should be close to which of the following? Mean 3.5 and standard deviation 1.7078 Mean 3.5 and standard deviation 0.7638 Mean 3.5 and standard deviation 0.0854 Mean 17.5 and standard deviation 1.7078 Mean 17.5 and standard deviation 0.7638
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