Question
In: Operations Management
(Operations Management) The following data (in milliliters) are the amount of liquid in the detergent bottles...
(Operations Management) The following data (in milliliters) are the amount of liquid in the detergent bottles on an automated filling machine. Develop sample mean and sample range control charts using the first 10 samples. Is the process in control? Use the control charts developed in part a to decide if the 11th sample (also given below) indicates an out-of-control situation.
| Sample | Obs 1 | Obs 2 | Obs 3 | Obs 4 |
| 1 | 1,010 | 991 | 985 | 986 |
| 2 | 995 | 996 | 1,009 | 994 |
| 3 | 990 | 1,003 | 1,015 | 1,008 |
| 4 | 1,015 | 1,020 | 1,009 | 998 |
| 5 | 1,013 | 1,019 | 1,005 | 993 |
| 6 | 994 | 1,001 | 994 | 1,005 |
| 7 | 989 | 992 | 982 | 1,020 |
| 8 | 1,001 | 986 | 996 | 996 |
| 9 | 1,006 | 989 | 1,005 | 1,007 |
| 10 | 992 | 1,007 | 1,006 | 979 |
|
11 |
996 |
1,006 |
997 |
989 |
Solutions
Expert Solution
A2,D3 and D4 are control chart constants
Formula
Sample 11 has sample mean of (996+1006+997+989)/4 = 997 and range of 1006-989 = 17. So sample 11 shows the process is in-control
keosha answered 1 year agoRelated Solutions
An automatic filling machine is used to fill bottles with liquid detergent. A random sample of...
An automatic filling machine is used to fill bottles with liquid
detergent. A random sample of 20 bottles results in a sample
variance of fill volume of s^2 = 0.0153 (fluid oz)^2 . Assume that
the fill volume is approximately normal. Compute a 95% upper
confidence bound for the population standard deviation. Provide
practical interpretation of the result.
An automatic filling machine is used to fill bottles with liquid detergent. A random sample of...
An automatic filling machine is used to fill bottles with liquid
detergent. A random sample of 20 bottles results in a sample
variance of fill volume of s2 = 0.01532 (fluid ounce). If the
variance of fill volume is too large, an unacceptable proportion of
bottles will be under- or overfilled. We will assume that the fill
volume is approximately normally distributed. Determine the 95%
upper confidence bound of the variance.
A machine puts liquid into bottles of perfume. The amount of liquid put into each bottle,...
A machine puts liquid into bottles of perfume. The amount of
liquid put into each bottle, Dml, follows a normal distribution
with mean 25ml.
Given that 15% of bottles contain less than 24.63ml
a.) find, to 2 decimal places, the value of k such that
P(24.63<D<k) = 0.45
A random sample of 200 bottles is taken.
b.) Using a normal approximation, find the probability that
fewer than half of these bottles contain between 24.63ml and k
ml
The machine is...
The Fresh Detergent Case Enterprise Industries produces Fresh, a brand of liquid detergent. In order to...
The Fresh Detergent Case
Enterprise Industries produces Fresh, a brand of liquid
detergent. In order to more effectively manage its inventory, the
company would like to better predict demand for Fresh. To develop a
prediction model, the company has gathered data concerning demand
for Fresh over the last 33 sales periods. Each sales period is
defined as one month. The variables are as follows:
Demand = Y = demand for a large size bottle of
Fresh (in 100,000)
Price =...
The label on the bottles of spring water of a certain brand says 250 milliliters. A...
The label on the bottles of spring water of a certain brand says
250 milliliters. A random sample of 20 bottles has an average of
248 milliliters. Suppose we know that the population, which is
normally distributed, has a standard deviation of 2.5 milliliters.
Does this seem to indicate that the population mean volume of a
bottle is 250 milliliters?
The following data represent the amount of soft drink filled in a sample of 50 consecutive 2- liter bottles.
The following data represent the amount of soft drink filled in a sample of 50 consecutive 2- liter bottles.
The results, listed horizontally in the order of being filled, were:
2.109
2.086
2.066
2.075
2.065
2.057
2.052
2.044
2.036
2.038
2.031
2.029
2.025
2.029
2.023
2.02
2.015
2.014
2.013
2.014
2.012
2.012
2.012
2.01
2.005
2.003
1.999
1.996
1.997
1.992
1.994
1.986
1.984
1.981
1.973
1.975
1.971
1.969
1.966
1.967
1.963
1.957
1.951
1.951
1.947
1.941
1.941
1.938
1.908...
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation...
Bottles of mango juice are assumed to contain 275 milliliters of
juice. There is some variation from bottle to bottle because the
filling machine is not perfectly precise. Usually, the distribution
of the contents is approximately Normal. An inspector measures the
contents of seven randomly selected bottles from one day of
production. The results are 275.4, 276.8, 273.9, 275.0, 275.8,
275.9, and 276.1 milliliters. Do these data provide convincing
evidence at α = 0.05 that the mean amount of juice...
Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation...
Bottles of purified water are assumed to contain 250 milliliters
of water. There is some variation from bottle to bottle because the
filling machine is not perfectly precise. Usually, the distribution
of the contents is approximately Normal. An inspector measures the
contents of eight randomly selected bottles from one day of
production. The results are 249.3, 250.2, 251.0, 248.4, 249.7,
247.3, 249.4, and 251.5 milliliters. Do these data provide
convincing evidence at α = 0.05 that the mean amount of...
The label on a bottle of liquid detergent shows the contents to be 12 grams per...
The label on a bottle of liquid detergent shows the contents to
be 12 grams per bottle. The production operation fills the bottle
uniformly according to the following probability density function:
f(x) = { 8 11:975 < x < 12:100 0 elsewhere where x denotes
the grams the bottle will be filled. a) What is the expected value
and the standard deviation of X? ( b) What is the probability that
a bottle will be filled with between 12 and...
Fifty milliliters of 100% H 2 SO 4 at 25 ° C and 84.2mL of liquid...
Fifty milliliters of 100% H 2 SO 4 at 25 ° C and 84.2mL of
liquid water at 15 ° C are mixed. The heat capacity of the product
solution is 2.43J/(g ° C).
(a) Estimate the maximum temperature attainable by the product
solution and state the conditions under which this temperature
would be attained, using heat of mixing data from Table B.11.
(b) Give several reasons why the temperature calculated in Part
(a) could not be attained in...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- In racket Assume that the elements of a list are indexed starting with 1. Write a...
- Describe System Development Life Cycle (SDLC) and how it is used.
- What symbolism do you find in the play,Oedipus?
- • Using the Scanner class to obtain input from the user. • Using printf to output...
- In each of the following situations, develop a tentative plan for the client. List the various...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- Java. If possible please put explanations for each line of code. Write a test program that...
ADVERTISEMENT