The average hourly wage of a sample of 150 workers in a plant 'A' was Dollar 2.56 with a standard deviation of Dollar 1-08. The average hourly wage of a sample of 200 workers in plant 'B' was Dollar 2.87 with a standard deviation of Dollar 1.28. Can an applicant safely assume that the hourly wages paid by plant 'B' are higher than those paid by plant 'A'?

A film processing service monitors the quality of the developing process with light-sensitive equipment. The accuracy measure is a number with a target value of zero. Suppose that an X- chart with subgroups of size five is used to monitor the process and the control limits are UCL = 1.5 and LCL = -1.5. Assume that the estimate for the process mean is zero and for the process standard deviation is 1.30.a. What is the value of α for this control chart?b. Find the UCL and LCL based on three-sigma limits.c. Suppose that the process mean shifts to 1. What is the probability that the shift is detected on the first subgroup after the shift occurs?

Scenario 38-5. Researchers are interested in the height of the average person in San Francisco, California. Using a random sample of 1,000 people, they find that the average height in the sample is 68 inches. (Hint: Be sure to calculate the Refer to Scenario 38-5. If the standard deviation of heights is 3 inches, we can be 95% confident that the true mean height of the population is between standard error of the estimate.) O O O O between 67.997 inches and 68.003 inches. between 67.905 inches and 68.095 inches. between 67.905 inches and 68 inches. between 68 inches and 68.095 inches.

Assume that you are working for the Consumer Protection Agency and have recently been getting complaints about the highway gas mileage of the new Dodge Caravans. Chrysler Corporation agrees to allow you to randomly select 40 of its new Dodge Caravans to test the highway mileage. Chrysler claims that the Caravans get 28 mpg on the highway. Your results show a mean of 26.7 and a standard deviation of 4.2. You support Chrysler’s claim.   1. Show whether or not you support Chrysler’s claim by listing the P-value from your output.After more complaints, you decide to test the variability of the miles per gallon on the highway. From further questioning of Chrysler’s quality control engineers, you find they areclaiming a standard deviation of no more than 2.1. Use a one-tailed test.2. Test the claim about the standard deviation.3. Write a short summary of your results and any necessary action that Chrysler must take toremedy customer complaints.4. State your position about the necessity to…