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A normal-shaped distribution has µ=80 and σ=15. What are the z-score values that form the boundaries for the middle 95% of the distribution of sample means? Compute the z-score for M=89 for a sample of n=25 scores. Is this sample mean in the middle 95% of the distribution?
Frequently, tests tha yeild abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two seperate occasions.
The rest have no opinion. Suppose that a sample of 100 American adults is quizzed on the subject. What is the probability of the following events?
A student must choose one of the subjects, art, geology, or psychology, as an elective. She is equally likely to choose art or psychology and twice as likely to choose geology.
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?
Find the equation of linear regression for the above data and obtain the expected salary for an engineer with 45 years of experience. Round to the nearest $100.
Place the steps below in the correct order for the construction of a control chart.
A normal distribution was used as the prior for the mean, and it was found that posterior mean was 15 and the posterior standard deviation was 0.1 what were the mean and standard deviation of the prior.
The largest salary on the list is $100,000 and is accidentally changed to $1,000,000. What is the new standard deviation?
What is a point estimate of the P/E ratio for the population of stocks listed on the New York Stock Exchange? Develop a 95% confidence interval.
As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression.
Use the normal approximation to the binomial to approximate the probability that a) exactly 96 flights are on time. b) at least 96 flights are on time.
They found that those with higher levels of cigarette use had lower GPAs, and vice versa. What can you rightfully conclude from this? Why? Be specific about what this kind of information may indicate and mean.
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