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For the population of people who suffer occasionally from migraine headaches, suppose that p = 0.60 is the proportion who get some relief from their symptoms by taking ibuprofen.
(a) Let X be the number of individuals in a simple random sample of size 50 from this population who get some relief by taking ibuprofen, and let pˆ be the sample proportion. Find the probability that the value of pˆ is in the interval (0.55, 0.65).
(b) Repeat part (a) assuming that a sample of size 200 is used instead of a sample of size 50.
Find a condition on the ci such that the estimate is unbiased. show that the choice of the ci that minimizes the variances of the estimate subject to this ondition is ci = 1/n where i=1,...,n.
International Agricultural Producers publishes annual data on various selected farm products. Shown above are the unit productions figures (in millions of bushels) for three farm products for 10 years.
Two chi-square distributions were plotted on the same chart. One distribution was for 3 degrees of freedom and the other was for 12 degrees of freedom. Which distribution would tend to approach a normal distribution?
Use the correct formula to find the probability that, out of 15 patients, exactly 11 are pleased with the service. Show your calculations or explain how you found the probability.
Determine the probability of a positive economic trend given an increasing employment. Are employment and economic trend independent?
the following sample was obtained from a population with unknown parameters.scores 6 12 0 3 4a. compute the sample mean
Illustrated significant negative relationship between amount of homework assigned and student attitudes. Determine the explanatory variable and explain the response variable?
A research study will measure the cost of the new method over a sample production period. Develop the null and alternative hypothesis most appropriate for this study.
Identify the variable of interest and the unit of measurement and what proportion of reaction times are less than 2.00 seconds?
A loan application is received this morning. What is the probability that:
Construct and interpret the 90% Confidence Interval for the mean starting salary of college graduates in developmental psychology. Salaries are in thousands.
(a) What is the relative frequency (i.e., proportion) of observations falling in the 0.260-0.280 interval? (Give your answer to four decimal places.) (b) What is the shape of the data distribution?
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