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1. Give an example of a single polynomial with degree 3, whose value is 4 when the variable is equal to 1.
2. Give an example of a single polynomial with degree 3, whose value is 29 when the variable is equal to 2.
3. Find a polynomial with degree 3 whose values are 4 and 29 when the variable is equal to 1 and 2, respectively. How many polynomials that satisfy these constraints are there? Note that in this part, you need to come up with a single polynomial that satisfies these two constraints simultaneously.
4. State the identities of the difference of two squares and the square of a binomial. Why do you think they are important? give at least one example from each identity.
He is expected to satisfactorily service 10 patients per day at an hourly wage of $8. Which dental hygienist would be the better hire? Why?
Perform a proper analysis. Describe your null and alternative hypothesis, report the p-value. What is your conclusion?
A study wants to examine the relationship between student anxiety for an exam and the number of hours studied. The data is as follows:
Correlation between the two variables based on scatter plot - Show the scatter plot for the variables.
In Gallup polls taken at different times, subjects were asked if they owned a gun, and the number of yes responses was recorded for each time period. Is this discrete or continuous? why?
Index number acts as a barometer for measuring the value of money. What are the characteristics of an index number? State its utility.
Suppose that the number of accidents occurring in an industrial plant is described by a Poisson distribution with an average of one accident per month. Let x denote the time (in months) between successive accidents.a Find the probability that the ..
Armstrong Faber produces a standard number-two pencil called Ultra-Lite. Since Chuck Armstong started Armstrong Faber, sales have grown steadily. With the increase in the price of wood products.
Consider that 10 observations were selected from a normal population whose variance is 64. Observations are: 58, 62, 45, 50, 59, 65, 39, 40, 41 and 52.
A researcher is comparing two antihypertensive drugs A and B with regards to reduction of patient's systolic blood pressure (SBP). Baseline SBP is measured for two groups of patients.
She chooses 40 new home sales at random and determine that average closing costs are $6600. Standard deviation of population is $120. Test her belief at µ = 0.05.
Test the hypothesis that the true Pearson correlation (p) is significantly different from zero. Provide a (p) value (two-tail) n=12. Correlation intake is .448 for the two recording methods.
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