SOLUTION: The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ= 25 grams. A sample of 25 cans is to be selected. So,

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Question 1082107: The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ= 25 grams. A sample of 25 cans is to be selected. So, the middle 70% of all sample means will fall between what two values?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The z-value for 0.1500 is -1.035 from the table.
So for the middle 70%, it is between -1.035 and +1.035
z=(x-mean)/sd
1.035*sd=(x-mean)
25.875=x-mean
x=110+25.875 or 135.875 top end
x=110-25.875 or 84.125 bottom end
range of middle 70% is (84, 136) gms