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Give an example of a polynomial of a degree 2 that satisfies the following two conditions: (1) the coefficient of x^2 is 1 and (2) the polynomial cannot be factored. Explain why the polynomial cannot be factored.
Give an example of a polynomial with degree 2 that can be factored as the product of two polynomials of degree 1 each. Explain clearly how you factored the polynomial.
Test the hypothesis. Will you reject or not reject the null hypothesis at α = 0.05
Suppose we sample five boys and five girls, and find that the average height of the boys is 0.5 inches more than the average height of the girls.
Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.
Find the percent of a standard Normal model found in the given region. Round to the nearest hundredth of a percent.
Between what two values does the P -value of this test fall?
A scatter plot and regression line can be used for all of the following EXCEPT
Six groups of randomly selected students matched for IQ and age were formed. Each student was taught a concept of time by using one of three methods: Lecture, demonstration
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
Clearly identify the independent and dependent variables you would study. Determine whether a one-tail or two-tail test is most appropriate and explain why. Generate a testable null statistical hypothesis and an alternative statistical hypothesis.
Use SPSS to make a scatterplot between stress and coping, and then add the fitted regression line to the plot. Mark both intercept and slope on the plot (You may consider to change the default X scale in SPSS)
Pollsters attempt to find out whether or not person is a "likely voter" before they count their opinion in poll. If we suppose 40% of registered voters will really vote.
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. Compute and interpret the Z score for each of the six entertainment expenses.
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