Question

The battery manufacturer that makes the batteries for the municipal police department’s body cameras asserts its lithium batteries last at least 16,000 hours. You sample 200 batteries and find that the X̅ =13,000 hours and s = 600 hours. Should the company’s claim be rejected? Will you use a one-tail test or a two-tail test? Why? Test at α = 0.05. [Show your work including graphs]

Answer #1

A manufacturer claims that the mean lifetime of its lithium
batteries is 902 hours. A homeowner selects 25 of these batteries
and finds the mean lifetime to be 881 hours with a standard
deviation of 83 hours. Test the manufacturer's claim. Use α =
0.05.

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1200 hours. A homeowner randomly selects 35
of these batteries and finds the mean lifetime to be 1180 hours
with a standard deviation of 80 hours. Test the manufacturers
claim. Use α = 0.05.

Sears uses millions of batteries each year for its surveillance
cameras . The brand of battery it currently uses has a mean life of
400 hours. A competitor claims that its batteries, which cost the
same as the brand Sears currently uses, have a mean life of more
than 400 hours. Sears has decided to purchase the new brand if,
when tested, the evidence supports the manufacturer's claim at .05
significance level. Suppose 49 batteries were tested with the
following...

A manufacturer claims that the mean life time of its lithium
batteries is 1500 hours . A home owner selects 30 of these
batteries and finds the mean lifetime to be 1470 hours with a
standard deviation of 80 hours. Test the manufacturer's claim.
Use=0.05. Round the test statistic to the nearest thousandth.
a) Hypothesis:
b)Critical value (t critical):
c)Test statistic (tstat) and the decision about the test
statistic:(reject or fail to reject Ho):
d)Conclusion that results from the decision...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1500 hours. A homeowner selects 25 of these
batteries and finds the mean lifetime to be 1480 hours with a
standard deviation of 80 hours. Test the manufacturer's claim.
Use α = 0.10.
A.
P-value = 0.112 > 0.10; do not reject H0; There is not enough
evidence support the claim, that mean is less than 1500.
B.
P-value = 0.112 > 0.05; do not reject...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1120 hours. A homeowner selects 25 of these
batteries and finds the mean lifetime to be 1100 hours with a
standard deviation of 75 hours. Test the manufacturer's claim.
Use α = 0.01.
A. P-value = 0.110 > 0.01; do not reject H0; There is not
enough evidence support the claim, that mean is less than 1120.
B. P-value = 0.097 > 0.01; do not reject...

A battery manufacturer advertises that the mean reserve capacity
of a certain battery is 1500 hours. You suspect that the batteries’
reserve time is less than the advertised value. To test this claim,
you randomly select a sample of 20 batteries and find the mean
reserve capacity to be 1320 hours. Assume that the population
standard deviation is 320 hours. Do you have enough evidence to
support the manufacturer’s claim? What assumption is necessary for
this test to be valid?...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1520 hours. A homeowner selects 27 of these
batteries and finds the mean lifetime to be 1498 hours with a
standard deviation of 76 hours. Test the manufacturer's claim. Use
α = 0.10.
A. P-value = 0.112 > 0.02; do not reject H0; There is not
enough evidence support the claim, that mean is less than 1500.
B. P-value = 0.072 > 0.05; do not reject...

A cell phone manufacturer claims that the batteries in its
latest model provide 20 hours of continuous
use. In order to verify this claim, and independent testing firm
checks the battery life of 100 phones. They
find that the batteries in these 100 phones last an average of
19 hours with a standard deviation of 5
hours.
Conduct an appropriate hypothesis test to check whether the
results from this sample provide sufficient
evidence that the true mean battery life is...

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