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A survey has discovered that the amount of money that a family of four spends on food per week is approximately normally distributed and has a mean of $100 and a standard deviation of $12. What proportion of families spend between $80 and $110 per week on food?
Scores on the Math Achievement Test form a normal distribution with a mean of u = 300 and a standard deviation of a = 100. What score separates the top 10% of the distribution from the rest.
A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that his claim is right, find the probability that at most 4 out of 6 workers randomly chosen will be wearing their helmets wh..
Bill calculates a linear correlation coefficient between two variable as 1.20. How would you interpret this?
Two researchers are both interested in the relationship between caffeine consumption and activity level for elementary school children. Each obtains a sample of n = 20 children.
An analyst thinks that the economic conditions during the next year will either be Strong, Normal or Weak and she thinks that the Simpson Company's returns will have the following probability distribution.
Determine the percentage of samples of size 16 that will have mean amounts of coffee within 0.1 ounce of the population mean of 8.2 ounces.
A random sample of 346 individuals is selected, and the individuals are classified according to their smoking habits and the smoking habits of their parents. The results are given in the contingency table below.
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift.
Interpret the results at α = .01. (c) Is normality assured? (d) Is the difference large enough to be important? (e) What else would medical researchers need to know before prescribing this drug widely?
Possible test scores ranged from 0 to 500. Assume that the scores are normally distributed. What is the probability that a student had a score higher than 315?
A total of 150 households were asked if they had Internet access, of which 57 responded "Yes". Which of the following would represent a 98% confidence interval around this sample proportion?
A number x is formed by choosing six digits in order, each being a 9 or a 1 and equally likely. Describe the sample space and count the number of sample points it contains.
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