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The number of eggs laid by a female housefly during her lifetime averages around 400. Suppose that the number of eggs laid varies with a Normal distribution, the mean 400 and standard deviation 50.
The number of spam emails received each day follows a Poisson distribution with a mean of 50. Approximate the following probabilities. Round your answer to four decimal places (e.g. 98.7654).
F(x) = 3x^2 - 2x^3 for 0 < x < 1 (with F(x) = 0 if x<=0 and F(x) = 1 if x>= 1) defines a distribution function. Find the corresponding density function.
Describe the distribution of sample mean diameters for samples of size 35. What is the probability that sample of 35 small widgets will have a mean diameter greater than 3.0 inches?
The number of inspections between successive interruptions of the process is called a run length. The expected value of the random variable X = run length is called the average run length. Suppose t
In the following examples, indicate whether you would perform a t test of independent means or dependent means. Two groups were exposed to different treatment levels for ankle sprains. Which treatment
They have frequencies of 45, 32, 18, 12, 9, 3, 13, 9, and 9 corresponding to the leading digits 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. Use a .05 significance level and test for the goodness of
Create a drawing or plan for a 2 × 3 experimental design that would lend itself to a factorial ANOVA. Identify the independent and dependent variables.
When is it appropriate to use an ANOVA? What is the key piece of information you must know in order to decide?
What is meant by independent samples? Provide a research example of two independent samples.
Consider the following. (Give your answers correct to two decimal places.) Determine the value of the confidence coefficient z(?/2) for 1 - ? = 0.81.
The null hypothesis is, H0: p-.55. What is the rejection region? (select the correct choice and fill in the the correct answer, round to three decimal places as needed)
Given that a population has a mean of 50 and a standard deviation of 15, what is the: Mean of the sampling distribution of the mean?
A particular basketball player hits 70% of her free throws. When she tosses a pair of free throws, the four possible simple events and their associated probabilities are given below:
What is the mean time between failure, and theta, for the system reliability at 0.8?
There is concern that the settings of the machine producing the nails have charged. To test the claim, twelve nails were sampled. The mean of the sample is 41.5 and the standard deviation is 1.784.
If you have four similar elements in active parallel with a time to failure density function of f(t)=0.005e^-0.005t what is the required mission time if t=300 hrs?
What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.) What value would you expect to find for the standard deviation of all th
Find the 90% confidence interval for the population standard deviation if a sample of 16 had a standard deviation of 2.4. Find the 99% confidence interval for the population standard deviation if a sa
A cohort study is not an appropriate study design in this case because the association between one exposure and two different outcomes is being considered.
Suppose X represents a point picked at random from the interval [0.1] on the x-axis and Y is a point picked at random from the interval [0,1] on the y-axis. Assume that X and Y are independant.
if a random sample of 65 married women are selected what is the expected number and the variance of the number of women who disliked their mother-in-law?