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You are interested in evaluating a new treatment for heart disease. (a) Discribe the population of interest. (b) Describe how you might obtain a random sample. (c) Give three categorical variables that would be of interest. (d) Give three numerical variables that would be of interest. Classify them as discrete or continuous.
Suppose the age of buyers were collected and the data follows the bell curve (a normal distribution). The buyers had an average age of 47 years and a standard deviation of 5.
Let X be a random variable uniformly distributed on the interval (0,1). Let Y be a new random variable defined as Y = X2. What is the probability density function of Y given by?
Suppose also that after selecting 15 members at random we obtained the following paired observations: Use these data to find the covariance between age and the number of visits.
A Correlation matrix (correlation, coefficients and probability level under the hypothesis rho= 0) for a company's sales force (age, years of service, and current sales) is given below. Comment.
Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
Clearly identify the independent and dependent variables you would study. Determine whether a one-tail or two-tail test is most appropriate and explain why. Generate a testable null statistical hypothesis and an alternative statistical hypothesis.
The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the follo..
A report states that 40% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic.
Compute the 99% confidence interval based on four data points that have a sample mean of 71.5 and a sample standard deviation of 16.6032
Determine the 95 percent confidence interval and the 95 percent prediction interval for the selling price of a home with 2,200 square feet.
A photo-sharing startup offers the following service. A client may upload any number N of photos and the server will compare each of the N pairs of photos with their proprietary image matching algorithms to see if there is any person that is in bo..
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