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1. Let X be normally distributed random variable with μ = 100 and σ = 10. Find the probability that X is between 75 and 100.
2. Let a random sample be taken of size n=36 from a population with known standard deviation of σ = 3. Suppose that the mean of the sample is x¯ = 37. The approximate 95% confidence interval for the mean, μ, of the population from which the sample was drawn. (Round the values to whole numbers for your confidence level.)
What is the sample space for this process and evaluate the variance of the intelligence scores
Her students this semester can be considered a sample from the population of all students she might teach, so she compares their mean score with 72.
What would happen if the forest service agent took another sample of 31 trees? Would the slope change? Would the intercept change? What about a third sample of 31 trees?
Develop a joint probability table for these data and use the table to answer the remaining questions. What do the marginal probabilities tell you about the age of the US population?
A random sample of 180 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.0 ounces. Construct a 98 percent confidence interval for the population mean.
Based on observations of a few third graders in the lunch line, they assess P(P) as 0.75. More convincing evidence that P(P) is .75 would be?
The sample data are summarized by the statistics n = 27, x = 4.6 years, s- 1.9 years.
Suppose the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have two boys and one girl.
What percentage of men are too tall to fit though a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending?
A recent survey by alumni of a major university indicated that average salary of 8000 of its 250,000 graduates was $120,000. Does this signify population parameter or sample statistic?
where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled-yellow, and 4 = wrinkled-green. Can the measures of variation be obtained for these values? Do the results make sense?
Seven employees were included from Area A, 9 from Area B and 12 from Area C. The test statistic was computed to be 4.91. What can we conclude at the 0.05 level?
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