Question

A manufacturer of a Pharmaceutical claims that their pain killer pills have 5 mg of Codeine. Their research quality control manager takes a random sample of 20 pills. She calculates the sample average to be 4.238 mg. with a standard deviation of .217 lb. At the .05 level of significance, is the manufacturer correct?

Answer #1

A manufacturer of a Pharmaceutical claims that their pain killer
pills have 5 mg of Codeine. Their research quality control manager
takes a random sample of 20 pills. She calculates the sample
average to be 4.227 mg. with a standard deviation of .217 lb. At
the 0.1 level of significance, is the manufacturer correct?

1. You work for the FTC. A manufacturer of detergent
claims that the mean weight of detergent is 4.25
lb. You take a random sample of 64
containers. You calculate the sample average to be
4.238 lb. with a standard deviation of
.127 lb. At the .05
level of significance, is the manufacturer correct?
2. Is the average capacity of batteries less than
120 ampere-hours? A random sample of
49 batteries had a mean of 118.47
and a standard deviation of
3.66. Assume a normal distribution....

A pharmaceutical manufacturer is concerned that the impurity
concentration in pills should not exceed 3%. It is known that from
a particular production run impurity con- centrations follow a
normal distribution with a standard deviation of 0.4%. A random
sample of 64 pills from a production run was checked, and the
sample mean impurity concentration was found to be 3.07%. a. Test
at the 5% level the null hypothesis that the population mean
impurity concentration is 3% against the alternative...

The manufacturer of a new cigarette claims that the average tar
content per cigarette is 10.0 mg. The US Center for Smoking Research believes
the tar content percigarette is greater than 10 mg and wishes to conduct a study to
support their claim. Theytake a random sample of 25 cigarettes from the production line and
find an average of 10.20mg of tar/cigarette and a standard deviation of .5 mg. Can the
manufacturer’s claim berefuted at the 0.01 level of significance?A....

a manufacturer considers his production process to be
out of control when defects exceed 5%. in a random sample of 67
items the defect rate is 5.4% but the manager claims that this is
only a sample fluctuation and production is not really out of
control. at the 7% level of significance use the o value method to
test the manager's claim.

A manufacturer claims that his television will have an average
lifetime of at least 5 years. The standard deviation is 8 months.
64 sets were selected at random and their average lifetime was
found to be 59 months. Is the manufacturer correct? Use α =
0.025.
(If you used TI-83 please include calculations )

Please explain well! No shortcuts!
8. A manufacturer claims that his television will have an
average lifetime of at least five years. 81 televisions are
selected at random, and their average lifetime was found to be 62
months, with a standard deviation of 7 months. Is the manufacturer
correct? Use the p-value method
with α = .05. Hint: work in months, not years.
State your hypotheses:
Calculate the test statistic:
Find the p-value:
State your decision:
Write your conclusion:

A manufacturer of metal pistons claims that on average, only 5%
of their pistons are bad (either oversize or undersize). When the
pistons are delivered to a local store, a quality control staff
will randomly select 10 pistons, and measure out if they are
oversize or undersize. If he sees 3 or more pistons are bad, they
will reject the delivery.
If we assume that the fault rate for the manufacturer is as
claimed 5%, what is the distribution...

Q1.(10 pts) The fridge manufacturer claims the average daily
electricity consumption of one energy efficient model is 0.5 kW.h,
the standard deviation of the daily electricity consumption is 0.16
kW.h. For one random sample of 45 fridges, Find the probability
that the sample average daily electricity consumption is greater
than 0.55 kW.h.
Q3.(10 pts) Following the above Q1, the manufacturer recently
improved technique and claims that the average daily electricity
consumption decreased after the improvement. The suggested average
daily electricity...

GreenBeam Ltd. claims that its compact fluorescent bulbs average
no more than 3.50 mg of mercury. Historical data reveal a standard
deviation of 0.18 mg, based upon years of production records. A
random sample of 24 bulbs has a mean of 3.62 mg of mercury. If we
give the benefit of the doubt to GreenBeam: (a) test whether or not
we should believe the manufacturer’s claim. Use a 1% significance
level. (b) Find the p-value for this test. ( I...

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