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1. Determine whether the following equations have a solution or not? Justify your answer.
a) x^2+6x-7=0
b) z^2+z+1=0
c) (3)^1/2y^2-4y-7(3)^1/2=0
d) 2x^2-10x+25=0
e) 2x^2-6x+5=0
f) s^2-4s+4=0
g) 5/6x^2-7x-6/5=0
h) 7a^2+8a+2=0
2. If x=1 and x=-8, then form a quadratic equation.
3. What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
4. Create a real-life situation that fits into the equation (x+4)(x-7)=0 and express the situation as the same equation.
A random sample of 20 vice presidents of Fortune 500 firms is taken. The amount each vice president paid in federal taxes as a percentage of gross income is determined.
The sampling distribution of the average score and Suppose x' is your average pay for the 100 weeks. Then x' has approximately
A company is interested in estimating the mean number of days of sick leave taken by its employees. The firm's statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee.
A researcher testing the affects of music on studying conducts a within participants design. The results are as follows: music 6,7,6,5,6,8,8, and no music 10,7,8,7,7,9,8
Describe a research problem that would benefit from Factor Analysis. What are the variables and what would you hope to achieve?
What type of error would result in that case? Respond to at least two of your classmate's postings.
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
In, addition, the company has decided to purchase at least three of the new Econo-Tankers for use on short-run, low-demand routes. As a final constraint, the conpany deos not want more than half the new models to be Super Tankers.
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies.
Using the menu systems, request descriptive statistics (mean, s.d. and variance) for both your original variables
The length of a Colorado brook trout is normally distributed. What is the probability that a brook trout's length, (Round your answers to 4 decimal places.)
A recent study indicated that 29% of the 100 women over age 55 in the study were widows. If no estimate of the sample proportion is available how large should the sample be?
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