People with high levels of stress have more episodes of respiratory illness, and their illnesses last longer. The following are the number of days when 10 low-stress research participants exhibited respiratory illness symptoms. 16 12 10 19 22 21 12 15 10 14 The mean of this population of numbers is μ = 15.1, and the standard deviation is o = 4.13. Suppose you take a sample of four of these 10 low-stress research participants. The following are the number of days the four participants exhibited symptoms. 22 21 12 15 The mean of this sample of numbers is M = , and the standard deviation is s = 4.80.

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7. The law of large numbers
People with high levels of stress have more episodes of respiratory illness, and their illnesses last longer.
The following are the number of days when 10 low-stress research participants exhibited respiratory illness symptoms.
16 12 10
19 22 21 12 15 10 14
The mean of this population of numbers is μ = 15.1, and the standard deviation is o = 4.13.
Suppose you take a sample of four of these 10 low-stress research participants. The following are the number of days the four participants
exhibited symptoms.
22 21 12 15
The mean of this sample of numbers is M =
and the standard deviation is s=4.80.
Transcribed Image Text:7. The law of large numbers People with high levels of stress have more episodes of respiratory illness, and their illnesses last longer. The following are the number of days when 10 low-stress research participants exhibited respiratory illness symptoms. 16 12 10 19 22 21 12 15 10 14 The mean of this population of numbers is μ = 15.1, and the standard deviation is o = 4.13. Suppose you take a sample of four of these 10 low-stress research participants. The following are the number of days the four participants exhibited symptoms. 22 21 12 15 The mean of this sample of numbers is M = and the standard deviation is s=4.80.
Suppose you take a sample of eight of these 10 low-stress research participants. The following are the number of days the eight participants
exhibited symptoms.
12 10 19 22 21 12 10
The mean of this sample of numbers is M =
14
and the standard deviation is s = 4.93.
Calculate the standard error of the mean for the sample of four: OM =
The sample of
Calculate the standard error of the mean for the sample of eight: OM =
is a better estimate of the population.
Transcribed Image Text:Suppose you take a sample of eight of these 10 low-stress research participants. The following are the number of days the eight participants exhibited symptoms. 12 10 19 22 21 12 10 The mean of this sample of numbers is M = 14 and the standard deviation is s = 4.93. Calculate the standard error of the mean for the sample of four: OM = The sample of Calculate the standard error of the mean for the sample of eight: OM = is a better estimate of the population.
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