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Of 357 randomly selected medical students, 30 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
At a .10 level of significance, use Stat Tools (or Excel) to test the sponsors' hypothesis. State the null and the alternative hypotheses and the decision rule. Finally, discuss your findings.
Ten members of a fraternity take a statistics course. Here are their scores on the first exam in the course:
The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the United States Bureau of the Census
Simplify a product of radical expressions. Assume that all variables represent positive real numbers
The mean income of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev's theorem, at least what percent of the incomes will lie between $400 and $600?
For each, draw the histogram of the sampling distribution of bar(y). Which sampling distribution has the smaller variance, and why?
If a student is randomly selected what is the possibility that the student is male and from out of state.
What assumption about the population distribution is needed in order to conduct the t test in (a)?
In looking at your business, when and why would you want to use a one-sample mean test (either z or t) or a two-sample t-test? Create a null and alternate hypothesis for one of these issues. How would you use the results?
Computing the mean and standard errors of sampling distribution - Using the central limit theorem, find the means and standard errors of sampling distributions
An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225.
Suppose ages for first marriages have normal distribution with standard deviation of four years. Determine the probability that the person getting married for first time is younger than 23 years of age?
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