Question
The fill amount in 1-liter soft drink bottles is normallydistributed, with a mean of 1.0 liter and a standard deviation of 0.06 liter. If bottles
The fill amount in 1-liter soft drink bottles is normallydistributed, with a mean of 1.0 liter and a standard deviation of 0.06 liter. If bottles contain less than 96% of the listed net content (0.96 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.08 liters may cause excess spillage upon opening. Complete parts (a) through (e) below.
a. What proportion of bottles contain between 0.96 and 1.0liters?
( )
(Round to four decimal places as needed.)
b. What proportion of bottles contain between
0.96 and 1.08 liters?
( )
(Round to four decimal places as needed.)
c. What proportion of bottles contain below 0.96 liters or above 1.08 liters?
( )
(Round to four decimal places as needed.)
d. At least how much soft drink is contained in
96%of the bottles?
( ) liter(s)
(Round to two decimal places as needed.)
e. Ninety-six percent of the bottles contain an amount that is between which two values (symmetrically distributed) around themean?
Between ( ) liter(s) and ( ) liter(s)
(Round to two decimal places as needed. Use ascendingorder.)
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