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The birthweights for babies born at 40 weeks follow a normal distribution with mean 3.46kg, and a standard deviation 0.58kg.
(a) What is the expected total weight of 100 randomly chosen babies?(b) What is the standard deviation of the total weight of 100 randomly chosen babies?(c) Repeat parts (2a) and (2b) for the average weight of 100 randomly chosen babies.(d) What is the expected total weight of 10,000 randomly chosen babies?(e) What is the standard deviation of the total weight of 10,000 randomly chosen babies?(f) Repeat parts (2d) and (2e) for the average weight of 10,000 randomly chosen babies.(g) Using your answers to the earlier parts of this question, explain how the sample size a ects the mean and SD of the sum of a collection of random variables. Limit your answer to 2-3 sentences.(h) Using your answers to the earlier parts of this question, explain how the sample size a ects the mean and SD of the average of a collection of random variables. Limit your answer to 2-3 sentences.
Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 200 times and got 83 heads. How significant is this evidence against equal probabilities?
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
Critically illustrate out the purpose of developing frequency distribution? Describe the relationship between the relative frequency and the cumulative frequency.
A state education agency designs and administers high school proficiency exams. Historically, time to complete the exam was an average of 120 minutes.
So construct a multiple regression model for predicting the crime rate based upon various explanatory variables unemployment rate, median income, education level.
Illustrate what is the probability all four calls are infact emergencies. Illustrate what is the probability that three or more calls are not emergencies.
Conduct a statistical test to determine if the sample is representative of the population.
Formulate the hypothesis that can be used to determine whether the sample data support the hypothesis that the mean fuel efficiency rating for midsize cars is greater than the mean fuel efficiency for large cars.
Assuming an exponential service rate μ, set this up as a birth and death process and determine the birth and death rates.
The Acme Candy Company claims that 8% of the jawbreakers it produces actually result in a broken jaw. Suppose 9571 Persons are selected at random from those who have eaten a jawbreaker produced at at Acme Candy Company. Would it be unusual for thi..
The rate of service calls per month was researched yielding the following results (no of service calls divided by the number of equipment): Do these data indicate that the program is effective?
Suppose you want an 85 percent confidence level. What value would you use to multiply the standard error of the mean?
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