00:01
In a sample of the weights of 67 freshmen, the following information, among other information, was provided.
00:07
We were given the mean, the variance of the weights, and the standard deviation of the weights.
00:14
And we were asked, is a value of 54 significant? so this would be a weight of 54 kilograms.
00:33
Now, a value from some distribution is considered significant if it is unusual.
00:38
In other words, if it's unusually high or unusually low, or the probability of getting such a value that extreme, that far away from the mean, is unusual.
00:51
And conventionally, unusual values are often described as values that are at least two standard deviations away from the mean.
01:00
Or maybe we might say more than two standard deviations away from the mean.
01:04
So more than two standard deviations away from the mean.
01:12
Mean.
01:13
So let's calculate how many standard deviations the value of 54 is away from the distribution's mean of weights...