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

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…

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds (lbs) or more. A sample of 40 adult dogs is studied and follows a binomial distribution. Let X be a binomial random variable that represents the number of adult dogs in the sample who weigh 65 lb or more. a. Find the mean number of dogs in this sample who weigh 65 lb or more. Mean = b. Find the standard deviation of the number of dogs in the sample who weigh 65 lb or more. Round to three places. Standard deviation =

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 4 inches. A random sample of 26 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?

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…

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.  0.157, 0.182, 0.206, 0.217, 0.218, 0.236, 0.238, 0.248, 0.257, 0.264,0.275, 0.284, 0.283, 0.303, 0.321, 0.340 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed?

Provide an appropriate response. Use the Standard Normal Table to find the probability. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and o=3.6. What is the probability that during a given week the airline will lose less than 20 suitcases? OA. 0.8944 B. 0.3944 OC. 0.1056 D. 0.4040

do a , b, c