00:01
This problem says the acme company manufactures widgets.
00:04
The distribution of widget weights is bell -shaped and the widget weights have a mean of 41 ounces with a standard deviation of 10 ounces.
00:10
And we are to use the standard deviation rule of the empirical rule to answer our questions.
00:15
And for a, we want to know the two values that 99 .7 % of our weights lie between.
00:19
And one of the things the empirical rule tells us is that within three standard deviations, less and more than our mean, we have 99 .7%.
00:27
So that would be 11 to 71 for our first interval.
00:32
And for b, we want to know the percentage of the widget weights that are between 31 and 71.
00:37
And we know that our bell -shaped curve is symmetric.
00:40
So half of 99 .7 % would be the percentage between 41 and 71, which would be 49 .85%.
00:48
And another percentage that the standard deviation less and more than the mean, we have 68%.
00:56
And half of that would be 34%...