There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.

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There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks
20 randomly selected students how many hours of sleep they got last night. They find that the
mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we
estimate the standard deviation of the sampling distribution of means by using
%3D
V20
0.447 hours?
O No, because we don't know that the distribution of sleep hours for the population is approximately Nor.
O No, because we can't be sure that the central limit theorem applies to this situation.
O Yes, because all the conditions for using this formula have been met.
O No, because "hours of sleep" is not a continuous variable.
O No, because the sample is more than 10% of the population.
Transcribed Image Text:There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using %3D V20 0.447 hours? O No, because we don't know that the distribution of sleep hours for the population is approximately Nor. O No, because we can't be sure that the central limit theorem applies to this situation. O Yes, because all the conditions for using this formula have been met. O No, because "hours of sleep" is not a continuous variable. O No, because the sample is more than 10% of the population.
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