Question

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test his claim, 50 pieces of each type of thread are tested under similar conditions. Type A thread had an average tensile strength of 86.7 kilograms with known standard deviation of σA = 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilograms with known standard deviation of σB = 5.61 kilograms. Test the manufacturer's claim at α= 0.05.

Answer should be written in word doc form

Answer #1

A manufacturer claims that the average tensile strength of
thread A exceeds the average tensile strength of thread B. The
population standard deviation for thread A is 5.61 and for thread B
is 6.28. A random sample of 50 pieces of each type of thread was
tested under similar conditions. Type A thread had an average
tensile strength of 86.9 kilograms and Type B thread had an average
tensile strength of 84.8 kilograms. Test to determine if there if
thread...

5. A manufacturer claims that the mean tensile strength of
thread A exceeds the average tensile strength of thread B. To test
his claim, 16 sample pieces of each type of thread are tested under
similar conditions. Type A thread had a sample average tensile
strength of 185 kilograms with a standard deviation of 6 kilograms,
while type B thread had a sample average tensile strength of 178
kilograms with a standard of 9 kilograms. Assume that both
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A generics manufacturer claims that the average tensile strength
of its threadA is the same as its name brand competitors thread B.
To test this claim, 50 pieces of each type ofthread were tested
under similar conditions. Type A thread had an average tensile
strength of 42.7kilograms while type B thread had an average
tensile strength of 43.9 kilograms. If the populationstandard
deviations of thread A and thread B are 7.35 and 6.29 respectively,
can you conclude up to aα=...

Two kinds of thread are being compared for strength. Fifty
pieces of each type of thread are tested under similar conditions.
Brand A has an average tensile strength of 78.3 kilograms with a
standard deviation of 5.6 kilograms, while brand B has an average
tensile strength of 87.2 kilograms with a standard deviation of 6.3
kilograms. (a) We set significance at 4%, can we claim that there
is difference the tensile strengths of the two brand? (justify your
answer using...

Two kinds of threads are been
compared for strength. Fifty pieces of each type of thread are
tested under similar conditions. Brand A has an average tensile
strength of 79.72 kg with a standard deviation of 5.14 KG while
Brand B has an average tensile strength of 86.89 with a standard
deviation of 5.63. Construct a 90% confidence interval for the
ratio of two variances.
answer should be written on word
doc.

A new type of thread is being tested for strength. 16 pieces of
the thread are tested. The sample is found to have an average
tensile strength of 78.3 kg with a standard deviation of 8 kg. (a)
Construct a 95% confidence interval for the tensile strength of the
new thread. (b) What do you have to assume about the population and
about the sample in order for this to be a valid confidence
interval?

A construction firm thinks that it is receiving 100 steel pipes
with an average tensile strength of 10,000 pounds per square
inch(lbs p.s.i.).This is the mean,μ.The size of the sample was
n=100.The firm also knows that the population standard
deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence
interval of 95 %.This is equivalent to a level of significance,α,of
5 %(.05),where the null hypothesis is
H0:μ0=10,000 and the alternative hypothesis
is H1:μ0≠10,000.The company does not know
that the actual, average tensile strength...

A construction firm thinks that it is receiving 100 steel pipes
with an average tensile strength of 10,000 pounds per square
inch(lbs p.s.i.).This is the mean,μ.The size of the sample was
n=100.The firm also knows that the population standard
deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence
interval of 95 %.This is equivalent to a level of significance,α,of
5 %(.05),where the null hypothesis is
H0:μ0=10,000 and the alternative hypothesis
is H1:μ0≠10,000.The company does not know
that the actual, average tensile strength...

The quality control manager of a tire company wishes to estimate
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different production batches is subjected to a stress test. The
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According to the sample results, the average pressure is 238.4
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A consumer agency claims that the average fuel mileage of Sedan
A exceeds that of Sedan B. To test this claim, a random sample of
18 Sedan A vehicles were tested and the sample mean fuel mileage
was found to be 26.60 miles per gallon with a known population
standard deviation of 1.43 miles per gallon. A random sample of 13
Sedan B vehicles also were tested and the sample mean fuel mileage
was found to be 25.60 miles per...

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