A random sample of size 16 is taken from the normal distribution with mean 20 andvariance 4. Let C denote the sample average. What is the probability that C is larger than19?O a.O b. 0.6915O C.O d. 0.3085O e.0.99720.02280.5000

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Answered: A random sample of size 16 is taken…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Jump to... Suppose that the mass (in grams) of potato chips dispensed into a 20g packet has a normal distribution with a mean of 20.5 and a variance of 4. If forty (40) packets of chips are randomly chosen, what is the probability that the mean weight is more than 20g? Select one: 0.02 0.94 0.32 0.54 0.06 Previous page Next page Return to: ASSESSMENTS )
2. A random variable follows a normal distribution with mean 12k and variance o?. The probability that a RV is less than p is 0.9582. knowing that the RV exceeds 10k, the probability that the RV is less than p is 0.95. Calculate o.
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last between 2.5 and 5.5 years. a. 0.68 b. 0.8664 c. 0.95 d. 0.32
The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10. If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees? O a. 0.2743 O b. 0.6554 c. 0.6802 O d. 0.3811
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.156 0.187 0.196 0.209 p 0.218 0.223 0.234 0.242 0.253 0.259 0.264 0.286 0.295 0.293 0.307 0.337 Click here to view the table of critical values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) O A. No. The correlation between the expected z-scores and the observed data, does not exceed the critical value. Therefore, it is reasonable to conclude that the data come from a normal population. O B. Yes. The correlation…
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of ounces. a. The process standard deviation is ounces, and the process control is set at plus or minus standard deviations. Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of parts, how many defects would be found (round to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to ounces. Assume the process control remains the same, with weights less than or greater than ounces being classified as defects. What is the probability of a defect (round to 4 decimals; if necessary)? In a production run of parts, how many defects would be found (to the nearest whole number)? c. What is the advantage of reducing…
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The agency for healthcare research and quality reported that 53% of people who had coronary bypass surgery in a recent year were over the age of 65. Fifteen coronary bypass patients are sampled. Let r= the number of coronary bypass patients over the age of 65. a. What is the mean of this binomial probability distribution? b. What is the variance? c. What is the standard deviation? d. Using the chebyshev's theorem for a minimum percentage of 75%, would it be unusual for 13 coronary bypass patients to be over the age of 65?
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 6 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 1.5 standard deviation s. Units with weights less than 5.85 or greater than 6.15 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1000 parts, how many defects would be found (round to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.05. Assume the process control remains the same with weights less than 5.85 or greater than 6.15 ounces being classified as defects. What is the probability of a defect (round to 4 decimals; if necessary)? In a production run of 1000 parts, how many defects would be found (to the nearest whole number)? c. What is the advantage…
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A random sample of size 16 is taken from the normal distribution with mean 20 and variance 4. Let C denote the sample average. What is the probability that C is larger than 19? O a. 0.0228 O b. 0.6915 O c. 0.5000 O d. 0.3085 O e. 0.9972