Question

The lifetime of a certain kind of battery is exponentially distributed, with an average lifetime of 25 hours. 12. Draw a graph to represent the probability that the average lifetime of 16 batteries is between 20 and 25 hours. Shade an appropriate region. (See Question 8) Question #8 says: Find the probability that the average lifetime of 16 batteries is between 20 and 25 hours.

Answer #1

• The student will examine properties of the Central Limit
Theorem for averages. Use correct units where appropriate (inches,
years, etc). The axes of graphs should be drawn with a ruler or
computer. Work will be graded for neatness, completeness and
correctness.
The lifetime of a certain kind of battery is exponentially
distributed, with an average lifetime of 20 hours.
1. Find the 70th percentile for the lifetime of one battery.
2. Write an interpretation (a sentence) of the 70th...

• The student will examine properties of the Central Limit
Theorem for averages. Use correct units where appropriate (inches,
years, etc). The axes of graphs should be drawn
with a ruler or computer. Work will be graded for neatness,
completeness and correctness.
The lifetime of a certain kind of battery is exponentially
distributed, with an average lifetime of 20 hours.
1. We are interested in the lifetime of one battery. Define the
random variable X in words.
2. Give the...

The lifetime of a certain type of battery is known to be
normally distributed with a population standard deviation of 20
hours. A sample of 50 batteries had a mean lifetime of 120.1
hours.
a. What is the point estimate?
b. Calculate the sampling error.
c. Construct a 95% confidence interval for the population mean.
Explain the answer in a sentence.

The lifetime of a certain type of battery is normally
distributed with a mean of 1000 hours and a standard deviation of
100 hours. Find the probability that a randomly selected battery
will last between 950 and 1050 hours

The lifetime of a certain type of battery is normally
distributed with mean value 13 hours and standard deviation 1 hour.
There are nine batteries in a package. What lifetime value is such
that the total lifetime of all batteries in a package exceeds that
value for only 5% of all packages? (Round your answer to two
decimal places.)
hours

The lifetime of a certain type of battery is normally
distributed with mean value 11 hours and standard deviation 1 hour.
There are nine batteries in a package. What lifetime value is such
that the total lifetime of all batteries in a package exceeds that
value for only 5% of all packages? (Round your answer to two
decimal places.)
hours

The lifetime of a certain type of battery is normally
distributed with mean value 11 hours and standard deviation 1 hour.
There are four batteries in a package. What lifetime value is such
that the total lifetime of all batteries in a package exceeds that
value for only 5% of all packages? (Round your answer to two
decimal places.)

The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 25 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?

For a certain type of computers, the length of time between
charges of the battery is normally distributed with a mean of 42
hours and a standard deviation of 18 hours. a. If 20 computers are
randomly selected, what is the probability that the mean charging
time of their batteries is more than 45 hours? b. If 38 computers
are randomly selected, what is the probability that the mean
charging time of their batteries is between 37 and 40 hours?...

The lifetime of a certain brand of battery is known to have a
standard deviation of 16 hours. Suppose that a random sample of 50
such batteries has a mean lifetime of 37.6 hours. Based on this
sample, find a 90% confidence interval for the true mean lifetime
of all batteries of this brand. Then complete the table below.
Carry your intermediate computations to at least three decimal
places. Round your answers to one decimal place. ( If necessary,
consult...

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