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In each case, determine whether the study in question is a controlled experiment or an observational study; justify your answer.
If a data set has correlation coefficient equal to 0.9, which of the following is necessarily true about the data points of its scatter diagram? Justify your answer. (a) The points all lie on a line
For women age 25-34 with full-time jobs, the average income in 2004 was $32,000, and the SD for income was $26,000. Assuming the incomes are normally distributed, find the percentage of women age 2
A manufacturing company wants to investigate the product coming out of two machines has a similar diameter or not. It is established that the standard deviation of the diameter for the parts from Ma
Using the data provided, x = the quality of the speed of execution and y = overall satisfaction with the electronic trades provided the estimated regression equation ? = .2046 + .9077x. At the
If the poll is taken from 200 random voters throughout the US (assuming the 200 votes sampled are a true representation of the voting profile), what is the probability that the candidate will get le
Why is a z-score range -3 to +3? If a normal distribution is not assumed, can a z-score still be used? Why or why not?
The number of telephone calls coming into a business's switchboard averages 4 calls per minute. Let x be the number of calls received. Find P(x=0)
An entomologist writes an article in a scientific journal which claims that fewer than 20 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypoth
List all possible samples of size 2. Calculate the sample mean for each. What is the average of the sample means calculated in part (b)? How does it compare with the population mean calculated in par
Let p denote the true proportion of ticket holders who buy tickets again for the following season. A random sample of 125 ticket holders revealed 90 people plan on renewing their tickets. Give a poi
If the distribution of the original measurements is not normal, you can still use the standard normal distribution to construct a confidence interval for , the average online time for all users of t
An applicant must score at least 80 points on a particular psychological test to be eligible for the Peace Corps. From nearly 30 years experience, it is known 60% of the applicants meet this require
The freshness and overall quality of milk depend upon the type of packaging used. The manager of a dairy company is considering changing the packaging from cartons to plastic.
The P-value for testing the hypoteheses, H0: u = 30 versus HA: u > 30, is 0.032. What is the P-value if the alternative is Ha: u < 30?
n American roulette wheel has 38 slots: 18 are red, 18 are black and 2 are green. Let R be the number of spins until you observe red. Let B be the number of spins until you observe black. Let G be t
A shipment of 250 netbooks contains 3 defective units. Determine how many ways a vending company canbuy three of these units and receive:
What is the expected number of coneflowers in your bouquet? What is the expected number of lilies in your bouquet?
What is the expected value and variance of D? What is the expected number of coneflowers in your bouquet?
There is a certain disease in America which is very rare. The probability of a person having the disease is 1 in 100,000,000. Assume that there are 310,000,000 people in the US.
An American roulette wheel has 38 slots: 18 are red, 18 are black and 2 are green. Let R be the number of spins until you observe red. Let B be the number of spins until you observe black. Let G be
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Find the probability that a randomly selected adult has a
The wolf pack needs to kill 3 large animals in order to feed the whole pack. What is the probability that it will need to chase 20 large animals to feed the pack? What is the expected number of chas
On average, 9 babies are born per 24-hour day at a hospital in Indianapolis. What is the probability that at least one baby will be born today between 6 am and 6 pm?
What are the distribution and parameters of S? How many days should Edward expect to wait before he can go outside?