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For a population, μσ is 30°C and is 4°C. Based on this, answer the following:
a. What is the probability that a single individual sampled at random from this population will have a measurement between 22 and 38°C?
b. What is the probability that a sample of 16 individuals will have a mean between 29 and 31°C?
c. What is the 95% confidence interval for a sample of 100 individuals?
d. Draw a plot illustrating the mean and the 95% confidence interval.
e. Draw examples of three sampling distributions based on the μ of 30°C that are i)accurate and precise; ii) inaccurate, but precise; iii) accurate, but imprecise. Provide a brief explanation.
a) Formulate an optimization model for this problem. b) Implement your model in a spreadsheet and solve it. c) What is the optimal solution?
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 15 per hour.
a. What is the probability that exactly three people enjoyed the commercials more than the? event?
Are these data approximately Normally distributed? Give appropriate graphical and numerical evidence to support your answer.
You are interested in determining the average cost of a 3-minute telephone call to locations within the continental U.S.
Show that we can use the sampling distribution of sample proportions and write out what it is for this study.
Construct cumulative risk profiles for the three alternatives, assuming Apricot has a 25% chance of winning the lawsuit. Can you draw any conclusions?
Xelia decides to diversify its product portfolio by introducing 4 different versions of its control systems
In the World Series of baseball, two teams (call them A and B) play a sequence of games against each other, and the first team to win four games wins.
A lottery ticket has a grand prize of $34.8 million. The probability of winning the grand prize is .000000047.
a) Is there significant evidence that this regression is useful? Why or why not?
A random sample of 50 iPhones had an average better life of 5.7 hours. Determine the margin of error (in hours) for the 90% confidence interval for this sample.
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