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Write down a short description of how statistics can enrich as well as represent results of a study, and an explanation of how statistics can be employed to misrepresent the results of a study. Ple
Write the probability densities of t(1) distribution and t(∞) distribution, and provide the special distribution names of them.
If X1 and X2 are independent random variables, X1 has the chi-square distribution with 3 degrees of the freedom, and X1 + X2 has a chi-square distribution with the 7 degrees of freedom. Prove that X
Determine the true proportion of Americans who think that the United States should pursue a program to send humans to Mars. Compute the margin of error.
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. What is the probability that a tire lasts between 54,000 and 66,000 miles?
An experiment involves choosing a random sample of 256 middle managers at random for study. One item of interest is their mean annual income. The sample mean is estimated to be $35,420 and the sampl
Determine the probability of the Type II error for the hypothesis test of Part I if the true population mean is 101.3 psi? Answer to three decimal places
Find out the area under the standard normal curve which lies to the left of the following z score. Employ a table if necessary. Round your answer to four decimal places.
Describe the following statistical terms, and where applicable, define with the appropriate equation is for standard deviation
The yield of a chemical process is being studied. From previous experience with this process the standard deviation of yield is known to be 2.9. The past 5 days of plant operation have resulted in t
Suppose that 65% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and 75% regularly consume at least one of these two products.
A group of voters consists of 40 democrats, 30 republicans and 20 independents. A sample of 12 voters is chosen at random (without replacement) , find the probability that the sample contains at lea
An office supplier produces desks and chairs. Each desk requires 4 units of wood, and each chair needs 3 units of wood. A desk contributes $40 to profit, and a chair has marginal profit of $25. It's
Please write down the standard (mathematical) LP model for solving this problem. Find optimal solutions (daily production plan) that minimize the total daily costs while meeting daily demands.
The probability experiment is to toss 3 fair coins and observe the upturned faces. Using a tree diagram, determine all the outcomes in the sample space. Find the following probabilities:
In a certain high-risk group, the probability of a person getting infected with a virus is 65%. If 8 people are randomly selected, find the following probabilities (assuming sampling with replacemen
Use the rule of 70 to find the approximate doubling time for a population whose annual growth rate is 0.7% (U.S.)? and 1.2% (World)?
Is it possible for a probability domain to have exactely two sets Oand I? Is there an even space, i.e probaility domain, that has exactly three sets? Is there a probability domain that has exactly f
The yield of a chemical procedure is being studied. From previous experience with this procedure the standard deviation of yield is known to be 2.9. The past five days of plant operation have result
What is the numerical value of your test statistic, z0? Answer to two decimal places. What is the p-value resulting from the test of Part I? Answer to three decimal places.
In the State of OH, 40 percent of all e-mails deal in some way with the depressed U.S. economy. If a random sample of 10 e-mails is selected, what is the probability of the following:
U.S. Bureau of the Census data reveal the largest town in the State of OH has a population of one million families. The data show that acreage owned per family is normally distributed with a mean of
What is a good topic to test using a Randomized Block Design? What would the dependent and independent variable be?
Suppose A, B and C are independent events, with probabilities, P(A), P(B) and P(C). What are the probabilities that at least two of the three events occur, using set notation?
For the normal distribution with µ = 80 and s = 12, determine the X value associated with each of the following proportions: What X value separates the distribution in the top 40% versus bottom