Question
In: Statistics and Probability
Suppose that the service life, in yours, of the "LOUD WHISPER", a hearing aid battery, is...
Suppose that the service life, in yours, of the "LOUD WHISPER", a hearing aid battery, is a random variable having a Weibull distribution with the Scale parameter = 0.7 and the Shape parameter = 2.1.
a) What is the hazard rate at the second year of operation?
b) What is the probability that the battery will fail between the first and third year?
c) At what point in time, 30% of the batteries have died?
Solutions
orchestra answered 1 year agoRelated Solutions
The hearing aid battery market has been quietly, but steadily, growing. This growth is attributed to...
The hearing aid battery market has been quietly, but steadily,
growing. This growth is attributed to an aging population and the
improvement in hearing aid technology. Zinc air replacement
batteries use air outside the battery as a source of power. There
is a tab on the battery which seals the air holes to ensure
freshness until the customer is ready to use the battery. To
activate the battery, simply remove the tab, wait one minute to
allow air to enter...
The service life of a battery used in a cardiac pacemaker is assumed to be normally...
The service life of a battery used in a cardiac pacemaker is
assumed to be normally distributed. A sample of twelve batteries is
subjected to an accelerated life test by running them continuously
at an elevated temperature until failure, and the following
lifetimes (in hours) are obtained: 26.9, 26.4, 26.8, 24.5, 24.9,
28.4, 25.4, 27.8, 27.5, 24.9, 26.9, and 25.5. Test the hypothesis
that the mean battery life exceeds 25 hours.
State the null and alternative hypothesis.
Compute the test...
3. The service life of a battery used in a cardiac pacemaker is assumed to be...
3. The service life of a battery used in a cardiac pacemaker is
assumed to be normally distributed. A sample of twelve batteries is
subjected to an accelerated life test by running them continuously
at an elevated temperature until failure, and the following
lifetimes (in hours) are obtained: 26.5, 24.8, 25.7, 24.4, 26.3,
25.6, 24.5, 26.1, 24.5, 24.9, 26.2, and 24.7. Test the hypothesis
that the mean battery life exceeds 25 hours. a) State the null and
alternative hypothesis. b)...
The service life of a battery used in a cardiac pacemaker is assumed to be normally...
The service life of a battery used in a cardiac pacemaker is
assumed to be normally distributed. A sample of twelve batteries is
subjected to an accelerated life test by running them continuously
at an elevated temperature until failure, and the following
lifetimes (in hours) are obtained: 26.7, 26.8, 25.8, 24.7, 24.6,
27.4, 25.5, 27.2, 27.5, 24.9, 26.9, and 25.5. Test the hypothesis
that the mean battery life exceeds 25 hours.
A.) State the null and alternative hypothesis.
B.) Compute...
Let ? denote the life length, in hours, of a battery. Suppose ? is known to...
Let ? denote the life length, in hours, of a battery. Suppose ?
is known to be normally distributed with standard deviation ? = 2.2
hours. A random sample of 16 batteries has an average life of ?̅ =
41.1 hours. We are interested in determining whether there is
evidence to support the claim that mean battery life exceeds 40
hours. Using a level of significance of 0.05, answer the following
questions.
a.) State the null and alternative hypothesis for...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is
approximately normally distributed with a mean of 75 hours and a
standard deviation of 9 hours.
a. What is the probability that a single battery randomly
selected from the population will have a life between 70 and 80
hours? P(70 ≤ x ≤80)equals=0.4215 (Round to four decimal places
as needed.)
b. What is the probability that 4 randomly sampled batteries
from the population will have a sample mean life...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is
approximately normally distributed with a mean of 80 hours and a
standard deviation of 9 hours. Complete parts a through c.
a. What is the probability that a single battery randomly
selected from the population will have a life between 7575 and 85
hours?
b. What is the probability that 99 randomly sampled batteries
from the population will have a sample mean life of between 75 and
85 hours?...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is
approximately normally distributed with a mean of 75 hours and a
standard deviation of 9 hours.
What is the probability that 9 randomly sampled batteries from
the population will have a sample mean life of between 70 and 80
hours?
Suppose that the useful life of a particular car battery, measured in months, decays with parameter...
Suppose that the useful life of a particular car battery,
measured in months, decays with parameter 0.025. We are interested
in the life of the battery. a. Define the random variable.
X = _________________________________.
b. Is X continuous or discrete?
c. X ~ ________
d. On average, how long would you expect one car battery to
last?
e. On average, how long would you expect nine car batteries to
last, if they are used one after another?
f. Find the...
1. Rosenberg Manufacturing Corp. is considering marketing their new hearing aid in the city of “Big...
1. Rosenberg Manufacturing
Corp. is considering marketing their new hearing aid in
the city of “Big Smoke”. The primary target market
for this device is the hearing impaired over the age of 60
years. As she considers the possibility, the VP/Marketing
reviews the following data for FY 2018:
Retail
price
:
$659
Retail
margin
: 42.5%
Wholesale
margin
: 27.5%
R & D on hearing aid, FY’s 2015, 2016
: $229,000
Introductory promotional outlays, FY2018:
$219,000...
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