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In Norway, the distribution of birth weights for full-term infants whose gestational age is 40 weeks is approximately normal with mean μ = 3500 grams and standard deviation σ = 430 grams. An investigator plans to conduct a study to determine whether the birth weights of full-term babies whose mothers smoked throughout pregnancy have the same mean. If the true mean birth weight for the infants who smoked is as low as 3200 grams (or as high as 3800 grams), the investigator wants to risk only a 10% chance of failing to detect this difference. A two-sided test conducted at the 0.05 level of significance will be used. What sample size is needed for this study? There is a trick in this question!! note that 3200 and 3800 are equally distant from 3500, so think two-sided!
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Dividing a complex number with another number
Assume that y0 dollars is deposited into an account paying r percent compunded continuously. If withdrawals are at an annual rate of 200t dollars (assume these are continuous), find the ammount in the account after T years.
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
Recall that if z=x+iy then, x=(z + zbar)/2 and y=(z-zbar)/2. By formally applying the chain rule in calculus to a function F(x,y) of two real variables, derive the expression
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
If an object is given an initial velocity straight upward of v0 feet per second from a height of s0 feet , then its altitude's after 1 second is given by the formula
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
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