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Question: York Steel Corporation produces iron rings that are supplied to other companies. These rings are supposed to have a diameter of 24 inches. The machine that makes these rings does not produce each ring with a diameter of exactly 24 inches. The diameter of each of the rings varies slightly. It is known that when the machine is working properly, the rings made on this machine have a mean diameter of 24 inches. The standard deviation of the diameters of all rings produced on this machine is always equal to .06 inch. The quality control department takes a sample of 25 such rings every week, calculates the mean of the diameters for these rings, and makes a 99% confidence interval for the population mean. If either the lower limit of this confidence interval is less than 23.975 inches or the upper limit of this confidence interval is greater than 24.025 inches, the machine is stopped and adjusted. A recent such sample of 25 rings produced a mean diameter of 24.015 inches. Based on this sample, can you conclude that the machine needs an adjustment? Explain. Assume that the population distribution is normal.
Three research departments have 7 ,9 , and 10 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
Describe 3 ways in which exploration enhances the advancement of knowledge, particularly scientific knowledge.
Create a probability model for the amount you win at this game.- Find the expected amount you'll win.- How much would you be willing to pay to play this game?
About 95% are between 500 +- 200; i.e. between 300 and 700 Where is the data located? Where is the "middle" of the data? How variable are the data? How spread out about the "middle" are the data?
Dogs, friends, and stress. In Exercise 29.3, the ANOVA F test had a very small P-value, giving good reason to conclude that mean heart rates under stress do differ depending on whether a pet, a friend, or no one is present. Do the means for the tw..
Build a scatter plot if you have two or more interval ratio variables. What type of relationship, if any, can you observe between the variables?
Students will submit a research paper which will provide a survey of machine learning algorithms and their application to different research areas.
It is known that 60% of all students at a large university are female. A random sample of 8 students is selected. Calculate the probability that among the students in the sample 4.1 at least 7 are female 4.2 at most 1 is female.
Using a 1% level of significance, can we say that there is a difference in the average waiting time between the two shops? Find the critical value(s).
Compute variance, standard deviation, range, interquartile range, CV, and minimum and maximum Z scores. Are there any outliers? Explain.
A sample of 35 workers was randomly selected from a workforce of 110 to estimate the average amount spent weekly at a canteen by each worker.the sample meam was $13 and the sample standard deviation was $3.25.
Westberg Electric Company sells electric motors to customers in the Jamestown, New York, area. The monthly trend equation, based on five years of monthly data.
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