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
populations are...

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 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...

A manufacturer claims that its televisions have an average
lifetime of at least five years (60 months) with a population
standard deviation of seven months. Eighty-one televisions were
selected at random, and the average lifetime was found to be 59
months. With a=0.025, is the manufacturer's claim supported?
a. critical value= -1.96
test value= 1.29
do not reject the claim since the test value falls in the
noncritical region.
there is not enough evidence to reject the manufacture's claim
that...

Task 1
Suppose producer claims that the mean strength of a wire is 25 psi
and standard deviation is 4psi.Production of wire is
normally distributed. A sample of 20 observations is
taken from the process and mean is calculated 20psi.α =0.05 level
of significance.
a) Apply suitable test to verify producer’s claim.
Task 2
Suppose a company claims that content of pollution in
water emitted by manufacturing process is not more than 100ppb, and
standard deviation 5. Sample of size...

A manufacturer of irrigation systems for buildings claimed that
their systems are activated at an average temperature of a 130
degrees Fahrenheit, but affected customers claim that the systems
have not been activated for a while and conclude that the average
activation temperature is greater than the one claimed by the
manufacturer, which puts people's lives at risk. 9 systems were
tested and the average activation temperature was 131.8 degrees. If
we assume that the activation temperature follows a normal...

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