Question
In: Statistics and Probability
The average life of a certain type of motor is 10 years with a standard deviation...
The average life of a certain type of motor is 10 years with a standard deviation of 2 years. You are interested in measuring the life time of this motor by conducting a survey asking customers’ experiences. Use this information and answer Question 4a to 4h.
Question 4a: What is the probability distribution of the life time of the motor, X?
Question 4b: In the first week, you were able to obtain 25 survey responses on the life of the motor you are studying. What is distribution of the average life of the motor, X ¯?
Question 4c: After a month-long survey, you collected 367 responses. What would be the expected value of the average life time of the motor using the survey responses?
Question 4d: After a month-long survey, you collect 367 responses. What is the probability that the average life time of the motor is greater than 10 years and 3 months? (Use four decimal places)
Question 4e: After a month-long survey, you collect 146 responses and find that the average life of the motor is 10.02 years. What is the upper limit of a two-sided 95% confidence interval of the true average life of the motor? (Use four decimal places)
Solutions
orchestra answered 1 year agoRelated Solutions
The average life of a certain type of motor is 10 years with a standard deviation...
The average life of a certain type of motor is 10 years with a
standard deviation of 2 years. You are interested in measuring the
life time of this motor by conducting a survey asking customers’
experiences.
a.) After a month-long survey, you collect 146 responses. What
is the probability that the average life time of the motor is
greater than 10 years and 6 months?
b.) After a month-long survey, you collect 367 responses and
find that the average...
The average life of a certain type of small motor was estimated to be 10 years...
The average life of a certain type of small motor was estimated
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manufacturer of the motor wants to issue a policy that will replace
all motors that fail while under guarantee free of cost. If the
company has budget to replace only 3% of all the motors that fail,
how long a guarantee (in years) should they offer? You may assume
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The fracture strengths of a certain type of glass have a average μ and a standard deviation...
The fracture strengths of a certain type of glass have a
average μ and a standard deviation 2. A random sample of
size 100 from this glass has a sample mean 15.5
a. Find a 95% confidence interval for the average fracture
strength.
b. If we assume that μ = 15, what is the probability that the
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this glass exceeds 15.5?
c. Is there enough evidence to conclude that the fracture...
Assume that the life of an engine follows a normal distribution with an average life of 12 years and a standard deviation of 2 years
Assume that the life of an engine follows a normal
distribution with an average life of 12 years and a standard
deviation of 2 years. The seller replaces all engines that fail
during the warranty period without additional charges.a) If the manufacturer wishes to replace only 1% of the
engines it sells, what is the warranty time it must offer?b) supposes that Puerto Rico sold 30 engines, what is the
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The average life a manufacturer's blender is 5 years, with a standard deviation of 1 year.
The average life a manufacturer's blender is 5 years, with a standard deviation of 1 year. Assuming that the lives of these blenders follow approximately a normal distribution, find the probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.
The answer is 0.5511
A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 10 years with an estimated
standard deviation of 1.25 years ("Appliance life expectancy,"
2013). Assume the life of a dishwasher is normally
distributed.
State the random variable.
Find the probability that a dishwasher will last more than 15
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Find the probability that a dishwasher will last less than 6
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Find the probability that a dishwasher will last between 8 and
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If you found a dishwasher that lasted less than...
The mean and standard deviation for the diameter of a certain type of steel rod are...
The mean and standard deviation for the diameter of a certain
type of steel rod are mu = 0.503 cm and sigma = 0.03cm. Let X
denote the average of the diameters of a batch of 100 such steel
rods. The batch passes inspection if Xbar falls between 0.495 and
0.505cm.
1. What is the approximate distribution of Xbar? Specify the
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your answer.
2. What is the approximate probability...
the average scores of math students in a certain school is 75 with a standard deviation...
the average scores of math students in a certain school is 75
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significance level is 0.01
1) the hypotheses are ?
2)Decision and conclusion ?
3) the critical value is ?
4) the test statistic is ?
The average height of a male in a certain country is 160 centimeters. The standard deviation...
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The average lifespan of a pigeon is 15 years, with a standard deviation of 2 years....
The average lifespan of a pigeon is 15 years, with a standard
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a.Find the probability that a randomly selected pigeon lives
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c. Find the probability that a sample of 40 pigeons will have an
average lifespan of less than 14 years.
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