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Sampling Distribution and the Central Limit Theorem
Find the probabilities.
a. From National Weather Service records, the annual snowfall in the TopKick Mountains has a mean of 92 inches and a standard deviation ? of 12 inches. If the snowfall from 25 randomly selected years are chosen, what it the probability that the snowfall would be less than 95 inches?
b. The loan officer rates applicants for credit. Ratings are normally distributed. The mean is 240 and the standard deviation is 60. If 36 applicants are randomly chosen, what is the probability that they will have a rating between 230 and 260?
Using the original data, estimate the population standard deviation with 90% probability.
To develop 3-month and 2-month moving average for the time series.The following data represents demand for company ABC's products for the last 10 months.
A side effect of a certain anesthetic used in surgery is the hiccups, which occurs in about 10 percent of the cases. If three patients are scheduled for surgery today and are to be administered this anesthetic, compute the probability that:
He reviews the last eight months at dealership B and finds the standard deviation of the eight monthly sales to be 22.95. Using the .01 significance level does the analyst find evidence that the boast of dealership A is correct?
A company supplies poultry farmers with hens, advertising that a mature B300 Layer produces eggs with a mean weight of 60.7 grams. Suppose that egg weights follow a Normal model with standard deviation 3.1 grams.
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.
Suppose that you perform a significance test regarding a population mean and that the evidence does not warrant rejection of the null hypothesis.
One normal curve has mean 23 and standard deviation 1, a second normal curve has mean 5 and standard deviation 10. The curve that is more dispersed, or spread out, is
A university has studied the relationship between the GPA (grade point average) of its graduates and StartSal, their starting salaries (in thousands of dollars). A sample of seven graduates was randomly selected.
What is the probability of drawing two diamonds after discarding 5 and 7.
The trial failed to show significance. How many subjects would be required to detect the difference in proportions observed in the trial with 80% power?
Formulate the hypotheses to test to see if the mean of the population is at least 12 ounces.
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