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Medicine and Clinical Studies Repeated industrial tasks often cause work-related muscle disorders. Measurements of joint angles (of the shoulder and elbow, for example) required to complete a certain task can be used to predict future injuries. The shoulder joint angle required to fasten an aluminum door frame on an assembly line varies according to the worker's height, arm length, and location. The shoulder joint angle for this task is normally distributed with mean 23.7 degrees and standard deviation 1.9 degrees. Suppose an employee is randomly selected.
a. What is the probability that the shoulder joint angle will be between 20 and 25 degrees?
b. What is the probability that the joint angle will be less than 18 degrees?
c. If the joint angle is more than 28 degrees, there is a good chance the employee will suffer from a muscle disorder. What is the probability that the employee will suffer from a muscle disorder?
d. If the joint angle is between 21.7 and 25.7 degrees, then management believes the ergonomics of the task are adequate. If five employees are randomly selected, what is the probability that four of the five have adequate ergonomics?
Compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates? Which pairs of mean scrap rates differ significantly (3 plants)?
The casino game craps is based on rolling two dice. Here is the assignment of probabilities to the sum of numbers on the up face when two dice are rolled:
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The financial aid office of a university asks a sample of students about their employment and earnings. The report says that "for academic year earnings, a significant difference (p = 0.038) was found between the sexes, with men earning more on th..
At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. Is this a 1 or 2 tail test?
Sample mean of $14.68 per hour. Assuming the population standard deviation of σ = $145, can we conclude that an increase occurred in the mean hourly earnings since 2001? Use α = .05.
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level. Ho 10
a frozen-food packer specifies the mean weight of a product as 200 g. the output is normally distributed with a
Would you expect the variance to be larger or smaller than the variance associated with the probability function used in the previous exercise? Verify your answer by computing the variance for the probability function given here.
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level.
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