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A researcher wanted to determine if the average size of farms in two counties in Pennsylvania were different. He samples 8 farms in Indiana County and determines the average size of a farm is 191 acres with a standard deviation of 38 acres. He then samples 10 farms in Greene County and determines the average size of a farm is 199 acres with a standard deviation of 12 acres. A hypothesis test was conducted at the 5% level of significance.
Using the above sales numbers in for your toaster company in 2007 and 2009 and by showing your work using scientific notation, find the percentage growth or percentage loss between 2007 and 2009. (20% of grade)
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
What effect does the change in elected officials have on budgeting? What long-term effects might result from this change?
Could the statement in the brochure be substantiated on the basis of these findings? Test with .05 significance level. Also calculate the P-value and interpret the result.
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 ponds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pound..
A train traveling at a speed of 95 mi/h approaches an observer at a station and sounds a 525-Hz whistle. What frequency will be heard by the observer? Assume that the sound velocity in the air is 1090 ft/s.
A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
Omar rented a truck for one day. There was a base fee of , and there was an additional charge of cents for each mile driven. Omar had to pay when he returned the truck. For how many miles did he drive the truck?
A hot-air balloon exerts a 1200-lb pull on a tether line at 45 degree angle with the horizontal. Resolve the vector B into components.
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
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