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Let us illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam:
Student 0 1 2 3 4 5 6 7 8 9Score 82 62 80 58 72 73 65 66 74 62
a. Use RAND function or StatTools to select 4 students randomly from the file below. What is the mean of the sample scores? This statistic is an estimate of the population mean.
b. Repeat this process 10 times or you can draw 10 samples simultaneously using StatTools. Make a histogram of the 10 values of sample means. You are constructing the sampling distribution of sample means. What is the center of your histogram?
c. Is the center of your histogram close to the population mean?
Gestational Age (Gestage, weeks) for sample of 100 low birth weight infants, and output from fitting a simple linear regression model to data, regressing Headcirc (Y) on Gestage (X).
A newspaper reports have 58 percent of farmers are planning to plant genetically modified crops presesnt year. The article adds that the poll is based on a random sample.
You will be graded on accuracy, completeness (addressing each point above), and effectiveness (utility, ease of reading).
According to a well-known newspaper journal, 58.3% of the 222,900 households in particular county get the Sunday edition of local newspaper. Assume that random samples of 200 households are selected.
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
What is the probability that no more than two of the three are commercial successes?
What is an example of two variables that are likely to be correlated because they are both changing over time?
Create a 95% confidence interval for true mean.
The event "the price of stock X has increased and the price of stock Y has not increased" may be written as??
As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
What are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
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