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Using bootstrapping to check traditional methods. Bootstrapping is a good way to check if traditional inference methods are accurate for a given sample. Consider the following data:
(a) Examine the data graphically. Do they appear to violate any of the conditions needed to use the one-sample t confidence interval for the population mean?
(b) Calculate the 95% one-sample t confidence interval for this sample.
(c) Bootstrap the data, and inspect the bootstrap distribution of the mean. Does it suggest that a t interval should be reasonably accurate? Calculate the bootstrap t 95% interval.
(d) Find the 95% bootstrap percentile interval. Does it agree with the two t intervals? What do you conclude about the accuracy of the one-sample t interval here?
The following data are the daily price quotations for a certain stock over a period of 45 days. Construct a stem-and-leaf display for these data. What can you conclude about the distribution of daily stock prices over the period under study?
What is the problem with HealthSmart's budgeting process? How would a balanced scorecard help HealthSmart resolve that issue? How could activity-based costing (see reading 8) contribute to a good balanced scorecard at HealthSmart?
A survey researcher compares 4 religious groups on their attitudes toward education. 1200 subjects receive the survey and 823 respond. There are 10 items; the likert scale is 1-5. A high positive score indicates a more positive attitude.
In a box of 15 marbles, 4 are green. You choose 2 at random without replacement (a) Create a tree diagram for the 2 draws. (b) Create a probability model for the number of green marbles in two draws.
Show that if and are independent random variables, then the matrix can be written as an outer product of two vectors. -What are the components of the outer product?
Write a model relating E(y) to a qualitative independent variable with two levels, A and B and four levels, A, B, C, and D Interpret the β parameters in each case.
would this prove that they are exceeding their goal, using α = 0.025?
the local newspaper was interested in the proportion of people that would vote in favor of a bond issue to add a new
The length of certain bricks is a random variable with a mean of 8 inches and a standard deviation of 0.1 inch, and the thickness of the mortar between two bricks is a random variable with a mean of 0.5 inch and a standard deviation of 0.03 inch.
1. For the following questions, a calculated probability of equal to or less than 0.05 is considered significant. a. Is it significant to get a 12 when a pair of dice is rolled? Show evidence and discuss.
This means that if green, yellow and violet are used to identify one line, then yellow, green, and violet (or any other combination of these three colors) cannot be used to identify another line.
From an urn containing balls, a ball was drawn, weighted and replaced. This experiment was repeated 5 times. what is the standard error of sample mean?
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