Question

In: Statistics and Probability

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

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related 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 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...
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 lifespan of a manufacturer's lightbulb is normally distributed with a standard deviation of 170 hours....
The lifespan of a manufacturer's lightbulb is normally distributed with a standard deviation of 170 hours. The manufacturer claims that the average lifespan of their lightbulbs is 1500 hours. A sample of 70 lightbulbs finds a sample mean 55 hours less than what the manufacturer claims. Enter your final answers in the boxes below. Show ALL working by uploading your handwritten working for this question to Laulima Dropbox within 15 minutes of completing your exam. Correct answers without working shown...
The lifespan of a manufacturer's lightbulb is normally distributed with a standard deviation of 170 hours....
The lifespan of a manufacturer's lightbulb is normally distributed with a standard deviation of 170 hours. The manufacturer claims that the average lifespan of their lightbulbs is 1500 hours. A sample of 70 lightbulbs finds a sample mean 55 hours less than what the manufacturer claims. Enter your final answers in the boxes below. Show ALL working by uploading your handwritten working for this question to Laulima Dropbox within 15 minutes of completing your exam. Correct answers without working shown...
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 between 14 and 17years. b.Find the year that marks the 90th percentile of the lifespan of pigeons. c. Find the probability that a sample of 40 pigeons will have an average lifespan of less than 14 years.
F) If X is distributed normal with an average of 5 and a standard deviation of...
F) If X is distributed normal with an average of 5 and a standard deviation of 2.5 Determines the 97.5 percentile POSSIBLE ANSWERS: a: 9.89 b: 9.11 c: 8.20 d: 10.81 G) The scores of a proficiency test are based on a normal distribution, with an average of 1,500 points and a standard deviation of 300 points. A school wishes to offer honorary scholarships to those students who obtain scores that place them at the top 5%. What is the...
A new extended-life light bulb has an average life of 750 hours, with a standard deviation...
A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 650 hours and 850 hours?
The life expectancy in the United States is 75 with a standard deviation of 7 years....
The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. Round all probabilities to four decimal places. a.What is the probability that the sample mean will be larger than 77 years? b.What is the probability that the sample mean will be within 1 year of the population mean? c.What is the probability that the sample mean will be within 2.5 years of the population mean?
The life expectancy in the United States is 75 with a standard deviation of 7 years....
The life expectancy in the United States is 75 with a standard deviation of 7 years. a. For a sample of 49, what is the probability that the sample mean will be within 1.4 years of the mean? b. For a sample of 49, what is the probability that the sample mean will be within 2 years of the mean? c. For a sample of 81, what is the probability that the sample mean will be within 1.4 years of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT