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1. Given that x and y are both positive, solve the simultaneous equations
log(xy) =7
log(x/y) =1
Answers given: x = 10000y = 1000
2. log (p - q +1) =0
log (pq) + 1 = 0
Show that p = q = 1/square root 10
3. Solve the following equation for x:
2^2x + 1 - 9 x 2^x + 4 = 0
Answer given: -1, 2
4. Example of exam question
Solve the pair of simultaneous equations
log(x + y) = 0
2 log x = log (y - 1)
for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. What should you conclude? Use the .05 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study.
Arrivals 2011. Will your flight get you to your destination on time? The U.S. Bureau of Transportation Statistics publishes information about airline performance.
At the significance level 0.01 is there sufficient evidence to conclude that a difference exists in the mean time required for the elimination of the rash?
Find the critical value Zc necessary to form a confidence interval at the given level of confidence.
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion.
To test whether the population mean is less than a specified value.
A company operates four machines during three shifts each day. From production records, the data in the table below were collected.
In an experiment in which a die was rolled 188 times it was counted up how many times each face came up. The results are as follows:
Compute Cronbach's alpha on the scale provided on pp. 710-711 of the Field text using the SAQ.sav file.
If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable
A recent report from the American Medical Association claims that for the first time in ten years, the average salary of psychiatrists was greater than $190,000 with a standard deviation of $27,000. What is the null hypothesis for his claim?
How would I go about finding the probabilities for the following discrete random variables? Among a shipment of 5,000 tires, 1,000 are slightly blemished. If one purchases 10 of these tires, what is the probability that 3 or less (P (x
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