Question
In: Statistics and Probability
The masses of bottles produced by the Guinness factory in Ireland have a mean of 200...
The masses of bottles produced by the Guinness factory in
Ireland have a mean of 200 grams. Suppose the variance of the
bottles is 175 grams. Round all answers to 3 decimals.
a. What is the probability that the mass of a randomly selected
bottle is between 185 and 215 grams? If you can compute the exact
probability, do so. If you cannot, then use an appropriate
approximation.
b. Suppose that we have a sample of 34 bottles. What is the
probability that the sample average mass is between 198.87 and
201.13 grams? If you can compute the exact probability, do so. If
you cannot, then use an appropriate approximation.
Solutions
Expert Solution
Note: P(a<Z<b)=P(Z<b)-P(Z<a)
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.1339, TRUE)" & "=NORM.S.DIST(-1.1339, TRUE)" to find the probability.
Round the value to 3 decimal places.
 |
--------------------------------------------------------------------------------------------------------------------
Note: P(a<Z<b)=P(Z<b)-P(Z<a)
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.4832, TRUE)" & "=NORM.S.DIST(-0.4832, TRUE)" to find the probability.
 |
orchestra answered 2 years agoRelated Solutions
The director of a milk factory is concerned. The bottles of milk that are produced should...
The director of a milk factory is concerned. The bottles of
milk that are produced should contain 1000 ml milk on average, but
he suspects that this is not true. The director takes a random
sample of 49 bottles and calculates how much milk the bottles
contain on average. In his sample he found an average of 1020 ml.
He performs a two-tailed test to evaluate his concern with
H0=1000 ml vs.
H1≠1000 ml and a significance level of
0.05....
Blocks A and B have a masses of 200 kgkg and 250 kgkg , respectively.(Figure 2)...
Blocks A and B have a masses of 200 kgkg and
250 kgkg , respectively.(Figure 2) The coefficient of static
friction between A and B and between B
and C is 0.210. The coefficient of static friction between
the rope and peg E is 0.520. Pulley D rotates
freely, and PPP_2 = 26.0 NN . If θθtheta_2 = 60.0 degreesdegrees ,
what is the smallest magnitude, TTT, of tension, TTT_evec, that
causes block B to move?
Assume that there was a starburst that produced 1011 solar masses of stars with a minimum...
Assume that there was a starburst that produced 1011
solar masses of stars with a minimum mass of 0.3 solar masses and a
maximum mass of 100 solar masses. The number of stars as a function
of mass is N(M) = KM-2.35, where K is a normalization
constant. The current turnoff mass of the population is 1 solar
mass
Compute the number of stars and the total mass of stars that
are still on the main sequence.
Assume that all...
Your company makes plastic bottles and has the following standards for materials: 430 million bottles produced...
Your company makes plastic bottles and has the following
standards for materials: 430 million bottles produced and $5.71
cost per 1,000 ozs of plastic. The company budgeted for $196510 in
plastic cost for the year. At the end of the year, you realize the
firm produced 497 million bottles and used 40 million ozs of
plastic. Plastic cost the firm $225740. Ua = ? oz / unit. (Answer
to 3 significant digits.)
Find Pa, Ub, Plastic price variance and Plastic...
The production line at the Heinz ketchup factory is calibrated to fill bottles of ketchup with...
The production line at the Heinz ketchup factory is calibrated
to fill bottles of ketchup with no more than 24 ounces of ketchup
in each bottle. We certainly do not want ketchup to spill onto the
assembly line equipment; that would create a mess.
In order to test how well our machinery is working, a sample of
70 bottles are randomly selected from a days production of filled
ketchup bottles and the contents of each bottle are measured. The
sample...
Phillip, the proprietor of a vineyard, estimates that the first 9400 bottles of wine produced this...
Phillip, the proprietor of a vineyard, estimates that the first
9400 bottles of wine produced this season will fetch a profit of $7
per bottle. However, the profit from each bottle beyond 9400 drops
by $0.0004 for each additional bottle sold.
Assuming at least 9400 bottles of wine are produced and sold,
what is the maximum profit? (Round your answer correct to the
nearest cent.)
_____$
What would be the profit/bottle in this case? (Round the number
of bottles down...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your assistant presents the
following data to you that he’s researched:
Estimated life of assembly line: 4 years Initial investment
cost: $800,000
Estimated salvage value: none
Estimated Cash Flow Analysis
Year Expected Cash Flow
1 $350,000
2 240,000
3 220,000
4 105,000
$915,000
a) Your assistant thinks you should buy the new
assembly line based on the information he has gathered. You are not...
1. You are the manager of a local factory that produces plastic bottles for soft drink...
1. You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your assistant comes to you
with exciting news about a new assembly line for the company. He
presents the following data to you that he’s researched:
Estimated life of assembly
line:
3 years
Initial investment
cost:
$500,000
Estimated salvage value:
none
Estimated Cash Flow Analysis
Year
Expected Cash Flow
1
$250,000
...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your assistant comes to you
with exciting news about a new assembly line for the company. He
presents the following data to you that he’s researched: Estimated
life of assembly line: 4 years Initial investment cost: $800,000
Estimated salvage value: none Estimated Cash Flow Analysis Year
Expected Cash Flow 1 $450,000 2 240,000 3 150,000 4 60,000 a) If
the current interest rate is...
You are the manager of a local factory that produces plastic bottles for soft drink manufacturers....
You are the manager of a local factory that produces plastic
bottles for soft drink manufacturers. Your colleague brings an
assembly line project to a meeting with the following
data:
Estimated life of assembly
line:
5 years
Initial investment
cost:
$740,000
Estimated salvage
value:
none
Current interest
rates:
15 percent
Estimated Cash Flow Analysis
Year
Expected Cash Flow
1
$360,000
2
240,000
3
100,000
4
25,000
5 ...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A textbook of mass 2.08 kg rests on a frictionless, horizontal surface. A cord attached to...
- Describe a time when someone did not really listen to or understand a point you were...
- Enumerations Create an advanced enumeration to represent months (JANUARY – DECEMBER) called enuMonths Add internal properties...
- What is the minimum size of the automorphism group of a simple directed graph having more...
- The birthday paradox says that the probability (chance) that two people in a room will have...
- #include <iostream> #include "lib.hpp" using namespace std; int main() { // declare the bool bool...
- Why do we compare means instead of individual scores? for comparing average SAT test scores across...
ADVERTISEMENT