Question

1. A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the manufacturer's claim. Use alpha equal to 0.05. State the sample mean and the population standard deviation.

2. Using problem in number 1. Choose the correct hypotheses.

3. Using the problem in number 1. State the critical value(s).

4. Using the problem in number 1. State the Test Statistics.

A.) -1.96

B.) -2.00

C.) 1.58

D.) -1.58

5. Using the problem in number 1. State the decision.

A.) fail to reject Ha

B.) Reject H_{0}

C.) Reject Ha

D.) fail to reject H_{0}

6. Using the problem in number 1. State the conclusion.

A.) There is not enough evidence to support the claim that the mean lifetime of its fluorescent bulbs is 1500 hours.

B.) There is enough evidence to support the claim that the mean lifetime of its fluorescent bulbs is 1500 hours.

C.) There is not enough evidence to reject the claim that the mean lifetime of its fluorescent bulbs is 1500 hours.

D.) There is enough evidence to reject the claim that the mean lifetime of its fluorescent bulbs is 1500 hours.

Answer #1

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 fluorescent
bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the
mean lifetime to be 1490 hours with a population standard deviation
of 80 hours. Test the manufacturers claim. Use a=0.05. Show graph
as well.

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 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 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 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.

The
lifetime of light bulbs produced by a company are normally
distributed with mean 1500 hours and standard deviation of 125
hours.
a). What is the probability that a bulb will still be burning
after 1250 hours?
b). What is the number of hours that is survived by 78.81% of
the light bulbs?

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...

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.

The lifetime of light bulbs produced by a company are normally
distributed with mean 1500 hours and standard deviation 125
hours.
(c) If three new bulbs are installed at the same time, what is
the probability that exactly two will be burning after 1400
hours?
(d) If three new bulbs are installed at the same time, what is
the probability that at least two will be burning after 1400
hours?
Enter your answer as a decimal, not a percentage. Round...

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