Answer:
2.083 < µ1 - µ2 < 5.917
Step-by-step explanation:
We will need to construct a 90% confidence interval for the difference of 2 means where the populations are normally distributed, and their variances are equal.
The calculations of the sample means and standard deviations are done for us.
Sample 1: Catalyst 1
n = 12, x = 85, s = 4
Sample 2: Catalyst 2
n = 10, x = 81, s = 5
See attached photo for the construction of the confidence interval...
=3/2+ 9/4+ 2/2
=1.5+ 2.25+ 1
=4.75
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You just have to multiply each number by 180 and that's how many you have of each color respectively
If an experiment has 
possible outputs, each with probability
then the sum of all probabilities is always one:
So, in your case, you have
plugging in the given values:
we can deduce that
