Question

A bike motor manufacturer claims that the mean life of its motors is 750 hours. A random sample of 40 of its motors have a mean life of 745 hours. It is known that the standard deviation of the lifetime of the motors is 15 hours. At = 0.06, is there enough evidence to reject the company's claim?

Perform a thorough hypothesis test on your work including:

- Identification of the null and alternative hypotheses and indication of which is the claim
- Identification of the distribution to use and why
- Identification of the test to use and why
- Solving explicitly for the standardized test statistic and the P value
- Stating explicitly your basis for rejecting/failing to reject the null hypothesis AND the claim

Enter your answers to the questions below backed up by the work on your submitted paper.

Null Hypothesis:

Test Used:

Standardized Test Statistic:

P:

Final Statement:

Answer #1

A hair dryer manufacturer claims that the mean life of its
product is greater than 700 hours. A random sample of 40 of its
motors have a mean life of 702 hours. It is known that the standard
deviation of the lifetime of the motors is 15 hours.
At = 0.06, is there enough evidence to reject the
company's claim?
Perform a thorough hypothesis test on your work including:
Identification of the null and alternative hypotheses and
indication of which is...

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 company claims that the mean battery life of their MP3
players at least 30 hours. You suspect this claim is incorrect and
find that a random sample of 18 MP3 players has a mean battery life
of 28.5 hours and a standard deviation of 1.7 ours. Is there enough
evidence to reject the claim at α=0.01?
Find the standardized test statistics t
Decide whether to reject or fail to reject the null
hypothesis

1. A light-bulb manufacturer advertises that the average life
for its light bulbs is 900 hours.
A random sample of 8 of its light bulbs resulted in the following
lives in hours:
995 590 910 539
916 728 664 693
At the 0.01 significance level, test the claim that the sample
is from a population with a mean life of 900 hours.
a. P-value = 0.979, reject alternative claim
b. P-value = 0.042, reject alternative claim
c. P-value...

A manufacturer of light bulbs advertises that, on average, its
long-life bulb will last more than 5100 hours. To test this claim,
a statistician took a random sample of 98 bulbs and measured the
amount of time until each bulb burned out. The mean lifetime of the
sample of bulbs is 5156 hours and has a standard deviation of 390
hours. Can we conclude with 99% confidence that the claim is true?
Fill in the requested information below.
A. The...

(CO 5) A light bulb manufacturer guarantees that the mean life
of a certain type of light bulb is at least 720 hours. A random
sample of 51 light bulbs as a mean of 712.8 hours with a population
standard deviation of 62 hours. At an α=0.05, can you support the
company’s claim using the test statistic?
Claim is the null, reject the null and cannot support claim as
test statistic (-0.83) is in the rejection region defined by the...

A light bulb manufacturer guarantees that the mean life of a
certain type of light bulb is at least 720 hours. A random sample
of 51 light bulbs as a mean of 712.8 hours with a population
standard deviation of 62 hours. At an α=0.05, can you support the
company’s claim using the test statistic? @See text pages
368-370
A. Claim is the null, fail to reject the null and support claim
as test statistic (-0.83) is not in the...

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...

A company claims that the mean battery life of their MP3 player
is = 30 hours. You suspect this claim is incorrect and find a
random sample of 18 MP3 players has a mean battery life of 28.5
hours and a standard deviation of 7 hours. Is there enough evidence
to reject the null hypothesis
a=0.01? Ho:
u=30 Ha: not = 30.

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...

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