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A large university reports that the mean annual income of parents of an entering class is $91,600. To see how this compares to his university, the president commissions a survey of n = 31 randomly selected families, and finds that their average income is x = $88,500 with a sample standard deviation of s = $10,000. Can the president conclude that the average family income at his school is significantly different than the population mean family income of the reported university?
Is there evidence that mean dimension is not 221 mm? Suppose population is normally distributed. Use a=0.05 and critical value method.
Construct a scatterplot for the (x, y) values below, and answer the following questions. What would be the slope of this regression line?
Psychologists once measured 77 variables on a sample of schizophrenic people and a sample of people who were not schizophrenic. They compared the two samples using 77 separate significance tests.
Describe the "third variable problem" as it relates to correlation and provide an example of how you might see this played out in your own field.
The scores on a scholastic achievement test were normally distributed with mean 520 and standard deviation 94. (a) If your score was 700, by how many standard deviations did it exceed the average score?
As part of study of the development of the thymus gland, researchers weighed the glands of five chick embryos after 14 days of incubation. Calculate the standard error of the mean.
Set up hypotheses and carry out all relevant tests. Describe all results and implications which you have discovered.
Compute mean, variance, and standard deviation of number of parents who correctly recognize their child's illness. Determine the probability at most five parents are correct.
A biologist has found that the average weight of 12 randomly selected adult mud turtles is 8.7 lb. with standard deviation 3.6 lbs. Construct a 99% confidence interval for the population mean weight of adult mud turtles.
With a confidence of 95%, what is the margin of error for the proportion of all carp that would incorporate the gene into their DNA?
A fair die is rolled two times. Let A be the event that the outcome of the first roll is an odd number. Let B be the event that the outcome of second roll is at least 5.
Why is expectation important? Explain what the expected value of an experiment or a business represents. What does it mean to have an expected value of 0? Provide an example of expectation and the use of the formula for expected value.
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