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Prove the following statement
Given the recursively defined sequence a_1= 0, a_2= -30, and a_n=8a_n-1 -15a_n-2, use complete induction to prove that a_n=5*3^n - 3*5^n for all positive integers n.
A researcher conducts an experiment comparing two treatment conditions and obtains data with 10 scores for each treatment condition.
Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee
Using a significance level of 0.05, can we conclude from this information that the course is successful in improving individuals' knowledge of Web page design?
First, describe in your own words (no direct quotes, please) what a dummy variable is and its purpose in regression analysis. Secondly, provide an example of where you might use a dummy variable from your own professional experience.
A sample of 49 observations is taken from a normal population. The sample mean is 55 and the sample standard deviation is 10. Determine the 99% confidence interval for the population mean.
A machine is adjusted so that when under control, the amount of sugar filled in a bag is normally distributed with a mean amount of 5 pounds.
She collected the employee performance ratings recorded before and after workshop attendance and stored the paired ratings for all 35 in Perform.
Ten asthmatics were asked to compare the effect of salbutamol and fenoterol sprays in relieving their asthma attacks. Assume that salbutamol and fenoterol are equal in terms of effectiveness and side effects in all people
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics.
Provide the Null and Alternative Hypotheses testing statements for the following statement: There are only 24 hours in a day. What statistical tool would you now utilize to improve your business? Explain the Chi-Square Non-Parametric Testing Concept.
Suppose that data is recorded for equal period of "before"-"after" time. Use 1% level for risk. Given processed data, explain what John must do.
Suppose nothing in this environment changes. a) Compute the probability the mean number of attacks over the next 10 years is between 500 and 600.
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