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Given the student waited less than 45 minutes, what is the probability they waited less than 20 minutes? What is the standard deviation of waiting time? What is the median waiting time?
An investigator wishes to compare the ability of two competing statistical tests to declare a mean difference of 15 units statistically significant. The first test has probability 0.9 and the second
A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Let X be the number of defective items in the sample. What is the probability mass function of X? D
Find the number of n-digit codewords from the alphabet {0,1,2,...,9} in which the digits 1,2, and 3 each appear at least once. I have to use inclusion-exclusion theory.
Find the number of n-digit codewords from the alphabet {0,1,2,...,9} in which the digits 1,2, and 3 each appear at least once.
Let X1,X2,....XN, be iid random variables from a double exponential distribution with desity f(x)=1/2*lambda*exp(-lambda|x|). Derive a likelihood ratio test of the hypothesis H0: lambda=lambda0 vers
David heads to the gym to shoot some more free throws. Currently, David makes free throws with probability 0.36. On this particular trip to the gym, he shoots 100 free throws. Assume independence W
Does the sample data provide sufficient evidence to conclude that the mean age at which American men first marry is greater than 23.3 years? Conduct hypothesis test using a=.01.
If a case of light bulbs contains 1200 bulbs, and the probability that any one bulb is defective is 0.015, estimate the probability of each of the following using the normal distribution technique.
Suppose that the proportion of voters who will vote for Mr. Smith is p=0.4. Let p-hat be the sample proportion of voters for Mr. Smith in a random sample of size 127. Find the following probabilitie
Comment on the statement "The two coefficients for the line of best fit have the same sign." as sometimes true, always true, or never true. Explain your response if your answer is "sometimes true" o
Do the sample data provide sufficient evidence to conclude that the mean call-back time of the company is less than 30 minutes? Conduct hypothesis test using alpha =.01
In 2003, the Gerber company sponsored a large random survey of the eating habits of American infants and toddlers. Among the many questions parents were asked was whether their child had eaten fried
A field biologist examined the sex ratio at birth of the lesser snow geese. A random sample of nests containing four eggs was taken. For each egg resulting in a live gosling, the laying order and th
A sticker on a certain make of car states that the average miles per gallon (mpg) on the highway is 22. A consumer group took a random sample of 7 individuals who owned this make of car and asked th
According to IDC, HP controls 34% of the color inkjet printer market worldwide. A random sample of 150 inkjet users was selected. What is the probability that 45 or fewer of these individuals used a
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16.0 oz and standard deviation 0.8 oz. We will randomly select n bag
Can you conclude with 95% confidence that mean spider walking speed differed based on the presence of the predator cue (praying mantis excrement)? Show your calculations.
You toss a fair coin until you get a head for the first time, and receive $2i if this occurs at trial i. You are allowed a maximum of N trials. If tails occurs at each of the N trials, you win nothi
In a new home, wooden floors were laid using strips of wood that are 2 inches wide. Suppose that a circular plate with a diameter of 2.25 inches is dropped on the wood floor. What is the probability
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16.0 oz and standard deviation 0.8 oz. We will randomly select n bags of cooki
What is the expected number of employees with less than 1 year of training time and a high defect rate?
One criterion used to evaluate employees in the assembly section of a large factory is the number of defective pieces per 1,000 parts produced. The quality control department wants to find out wheth
In testing a hypothesis using the chi-squared test, the expected frequencies are based on the
How many of those donors should the Red Cross have expected to have type O-negative blood? A typical donation is one pint, so assuming the typical donation and that each person only donates once, wha