Question
In: Statistics and Probability
A battery pack used in a medical device needs to be recharged about every 5 hours....
A battery pack used in a medical device needs to be recharged about every 5 hours. A random sample of 20 battery packs is selected and subjected to a life test. The average life of these batteries is 5.05 hours with standard deviation ?=0.3 hours. Assume that battery life is normally distributed. Is there evidence to support the claim that mean battery life is more than 5 hours? Use ?=0.01.
a. Use P-value approach to test the hypothesis.
b. Use t-test to test the hypothesis.
c. Use confidence interval to test the hypothesis
d. If the true mean life is 5.1 hours, what is the type II error?
Solutions
Expert Solution
A battery pack used in a medical device needs to be recharged about every 5 hours.
A random sample of 20 battery packs is selected and subjected to a life test.
The average life of these batteries is 5.05 hours with standard deviation ?=0.3 hours.
The battery life is normally distributed.
Here n=20,
=5.05,
?=0.3,
Here we have to test if the mean battery life is more than 5 hours i.e our hypothesis of chief interest are:
Null Hypothesis(H0):mean battery life (
)=5
hours
vs
Alternative Hypothesis(H1):mean battery life > 5 hours.
orchestra answered 1 year agoRelated Solutions
A battery pack used in a medical device needs to be recharged about every 5 hours....
A battery pack used in a medical device needs to be recharged
about every 5 hours. A random sample of 20 battery packs is
selected and subjected to a life test. The average life of these
batteries is 5.05 hours with standard deviation ? = 0.3 hours.
Assume that battery life is normally distributed. Is there evidence
to support the claim that mean battery life is more than 5 hours?
Use ? = 0.01.
a. Write the appropriate hypothesis.
b....
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4444
2525
3030
3535
4242
7070
5050
5454
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5555
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5959
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3232
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a. Assuming that the population variances from both types of
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11.30
10.90
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9.50
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ommendations: Tablets,” Consumer Reports, August 2013, p.
24.)
a. Assuming that the population variances from both types
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