Question
In: Statistics and Probability
A paint manufacturer fills cans of paint using a machine that has been calibrated to fill...
A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration, the manufacturer takes a random sample of 100 cans and finds that they average 128.2 ounces with a sample standard deviation of 4 ounces, and the volume of paint in the cans is normally distributed. Is this strong evidence that the can- filling machine is set too high? Carry out the appropriate hypothesis test at the α = 5% level.
e) Find the probability of a Type II error if, in fact, μ = 129. Suppose we can assume σ = 4.
f) What would happen to the probability of a Type II error if μ was even further away from the hypothesized value of 128?
g) What is the probability of a Type I error?
Solutions
orchestra answered 1 year agoRelated Solutions
A machine used to fill gallon-sized paint cans is regulated so that the amount of paint...
A machine used to fill gallon-sized paint cans is regulated so
that the amount of paint dispensed has a mean of 124 ounces and a
standard deviation of 0.40 ounce. You randomly select 40 cans and
carefully measure the contents. The sample mean of the cans is
123.9 ounces. Does the machine need to be reset? Explain your
reasoning.
(Yes/No)______, it is (likely/ very unlikely) _____ that you
would have randomly sampled 40 cans with a mean equal to 123.9...
In a plant that fills 12 ounce cans of soda, the mean fill amount with the...
In a plant that fills 12 ounce cans of soda, the mean fill
amount with the current machinery is 12.2 ounces with a standard
deviation of 0.03 ounces. A new machine is said to be more
accurate, so the company tested this new machine on a run of 10
cans, and obtained the following fill amounts:
12.03 12.10 12.02 11.92 12.10 12.00 12.05 11.97 11.99 11.87
Test the claim that the standard deviation of the new machine is
lower than...
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
A machine that fills beverage cans is supposed to put 12 ounces
of beverage in each can. Following are the amounts measured in a
simple random sample of eight cans. 11.96 12.10 12.04 12.13 11.98
12.05 11.91 12.03
Perform a hypothesis test to determine whether the mean volume
differs from 12 ounces. Use a 0.05 level of significance.
Also construct a 99% confidence interval for the data.
The null and alternative hypothesis,
The test statistic,
The p-value of the test,...
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
A machine that fills beverage cans is supposed to put 12 ounces
of beverage in each can. Following are the amounts measured in a
simple random sample of eight cans. 11.96 12.10 12.04 12.13 11.98
12.05 11.91 12.03
Perform a hypothesis test to determine whether the mean volume
differs from 12 ounces. Use a 0.05 level of significance.
Also construct a 99% confidence interval for the data.
The null and alternative hypothesis,
The test statistic,
The p-value of the test,...
A machine that fills beverage cans is suppose to put 24 ounces of beverage in each...
A machine that fills beverage cans is suppose to put 24 ounces
of beverage in each can. The following amounts are the amounts
measured in random sample of eight cans.
24.00 23.94 23.96 23.98 23.92 23.90 23.83 23.95
assume the sample is normal. Can you conclude that the mean
volume differs from 24 ounces? Use α=0.1level of
significance.
A. Yes the mean fill volume appears to differ from 24
ounces.
B. There is not enough information to draw a conclusion....
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each...
A machine that fills beverage cans is supposed to put 12 ounces
of beverage in each can. Following are the amounts measured in a
simple random sample of eight cans: 12.15 12.17 12.20 11.88 12.16
12.04 12.05 12.11 Perform a hypothesis test to determine whether
the mean volume is greater than 12 ounces. Use the α=0.05 level of
significance and the critical value method. Compute the value of
the test statistic. Round the answer to three decimal places.
t=?
A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine...
A soda bottling plant fills cans labeled to contain 12 ounces of
soda. The filling machine varies and does not fill each can with
exactly 12 ounces. To determine if the filling machine needs
adjustment, each day the quality control manager measures the
amount of soda per can for a random sample of 50 cans. Experience
shows that its filling machines have a known population standard
deviation of 0.35 ounces.
In today's sample of 50 cans of soda, the sample...
please show all work: A machine that fills beverage cans is supposed to put 12 ounces...
please show all work:
A machine that fills beverage cans is supposed to put 12 ounces
of beverage in each can. The standard deviation of the amount in
each can is 0.12 ounce. The machine is overhauled with new
components, and ten cans are filled to determine whether the
standard deviation has changed. Assume the fill amounts to be a
random sample from a normal population. 12.14, 12.05, 12.27, 11.89,
12.06, 12.14, 12.05, 12.38, 11.92, 12.14
Perform a hypothesis test...
CASE STUDY CH.6 A spice manufacturer has a machine that fills bottles. The bottles are labeled...
CASE STUDY CH.6 A spice manufacturer has a machine that fills
bottles. The bottles are labeled 16 grams net weight so the company
wants to have that much spice in each bottle. The company knows
that just like any packaging process this packaging process is not
perfect and that there will some variation in the amount filled. If
the machine is set at exactly 16 grams and the normal distribution
applies, then about half of the bottles will be underweight...
CASE STUDY CH.6 DROPBOX ASSIGNMENT A spice manufacturer has a machine that fills bottles. The bottles...
CASE STUDY CH.6
DROPBOX ASSIGNMENT
A spice manufacturer has a machine that fills bottles. The
bottles are labeled 16 grams net weight so the company wants to
have that much spice in each bottle. The company knows that just
like any packaging process this packaging process is not perfect
and that there will some variation in the amount filled. If the
machine is set at exactly 16 grams and the normal distribution
applies, then about half of the bottles will...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Suppose that 20 monthly payments of $100 each are followed by 30 monthly payments of $200...
- D. Explain what it means for recommendations to be specific and actionable. E. Discuss how charts...
- Capital Toys’ management is considering eliminating product A, which has been showing a loss for several...
- Computer Networks IT 210 Please Use your own words . sorry No handwriting no copy paste...
- The Coronavirus will obviously impact the economy of big organizations like FIFA or the NBA but...
- Question: what is the difference between rights of assertion and observation assertion. Include which financial statements...
- how to read a csv file in php and make a html table? I can't use...
ADVERTISEMENT