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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.
For the following cases, determine whether the sampling is dependent or independent. Explain your conclusion.
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 10 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 6 minutes.
A researcher wants to know if elderly people who own dogs are equally as likely to pay visits to their doctors than those who do not own dogs.
Perform 5 t-tests on the data comparing C1 to C2 on each of the 5 questions. Indicate which of the 5 variables has a difference between C1 and C2.
A local college requires an English composition course for all freshman. This year they are evaluating a new online version of the course. A random sample of n=16 freshman is selected and the students are placed in the online course.
A video rental store has two video cameras available for customers to rent. Historically, demand for cameras has followed this distribution:
A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 20 hours, with a standard deviation of 5.5 hours
What is the probability that the cereal would be high fiber? In other words, what is P (high fiber)?
University of Waterloo are much susceptible to hypnosis which University of Tennessee undergraduates. Set up H0 and Ha for the test.
If the loss of weight of customers at the end of their first month is normally distributed with a mean of 6.7lbs and a standard deviation of 0.81lbs
Hypothesis test for the difference between two means - To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized.
Choose a person aged 19 to 25 years at random and ask, "how many times have you worked out in the past?" Call the response X for short.
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