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Construct a 95% confidence interval for the mean gas price in Illinois ( on August 8,2012). Round your margin of error to three decimal places.
Test, at the 10% level, if there is evidence that the proportion of college graduates that believe in evolution differs significantly from the proportion of individuals with some college education t
In a gallop poll of 1038 randomly selected aduls 18 or older, each subject was asked a question: "In general, how harmful do you feel secondhand smoke is to adults?" The subjects were given these ch
Suppose we take random samples of 100 individuals who earned a doctorate in the physical sciences in 2010 and 100 individuals who earned a docotrate in the social sciences in 2010. Find the mean and
One engineer firm enjoys 40% success rate in getting state government construction contracts. This month they have submitted bids on eight construction projects to be funded by the state government.
What is the null hypothesis? Find the z-score of the observed proportion calculate the value of the test statistic. z =
Please discuss the role of residual plots (order and fits) regarding the least squares method in multiple regression.
Please explain what Minitab does in backward elimination and in stepwise (forward and backward) automatic regression procedures.
The guidance system for a rocket operates correctly with probability p when called upon. Independently but identical buckup systems are installed in the rocket so that the probability that at least
The NBA sample mean minues the high school sample mean is 3.2. He creates a randomization test to show this theory, uing the test stats described above. what is the p-valuve? round to the nearest pe
A confidence interval is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that st
What are the assumptions necessary for hypothesis testing when using the method of least square in multiple regression? Please state the complete model.
A fair six sided die is rolled 10 times. Calculate the expected value of the sum of the numbers observed. Then compute the variance for the sum.
a) If f(x) is the probability density function (pdf) of a continuous random variable X, what two conditions must be satised?
Calculation a 90% confidence interval, for the unknown population mean. Report the lower bound accurate to 2 decimal places with no commas or dollar signs.
You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a random sample of 11 apartments advertised in the local newspaper is $1200.
Suppose X is uniform on (0,1) and Y = X. Find the joint distribution function of X and Y.
Suppose X and Y have joint density f(x,y) = 1 for 0 < x, y < 1. Find P (XY is smaller than or equal to z).
Suppose X has density function x/2 for 0 < x < 2 and 0 otherwise. Find the density function of Y = X(2 - X) by computing P(Y greater than or equal to y) and then differentiating.
Suppose X is uniform on (0, 1) and Y=X. Find the joint distribution function of X and Y.
According to a survey, 63% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or ex
Use the binomial table to find the numerical value of alpha for this testing procedure. Use the binomial table to find the probability of rejecting the null hypothesis when using this rejection region
Are the trials in this experiment independent? Explain. Use the Hypergeometric distribution to compute the probability of getting the desired result at a particular trial.
Researchers may draw incorrect conclusions about their research (as know as type 1 or type II) , which type of error is considered more serious and why?
Sample size is 100, thus, the population of production times is normal in shape. Find the mean and standard deviation of the sample.