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
to be 10 years with a standard deviation of 2 years. The
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
average of fracture strength for 100 randomly selected pieces of
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
percentage of probability that more than 1 customer will claim...
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
years.
Find the probability that a dishwasher will last less than 6
years.
Find the probability that a dishwasher will last between 8 and
10 years.
If you found a dishwasher that lasted less than...
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
with a standard deviation of 8.1. one hundred students were
randomly selected, and the average score was found to be 71. the
director wants to know wether students have deteriorated.
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...
The average height of a male in a certain country is 160
centimeters. The standard deviation is 10 centimeters. Assuming a
normal distribution find the probability that a randomly picked
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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
deviation of 2 years.
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
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(#1) The average life of a certain type and brand of battery is 75 weeks. The...
(#1) The average life of a certain type and brand of battery is
75 weeks. The average life of each of 9 randomly selected batteries
is listed: 74.5, 75, 72.3, 76, 75.2, 75.1, 75.3, 74.9, 74.8
Assume the battery life distribution is normal. It is of
interest to know if the sample data suggest the average life is
greater than 75 weeks. Test the hypothesis that the average life of
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