State whether each of the following is true or false.

a. Graphs, tables, and summary statistics all illustrate the application of inferential statistics.

b. Inferential statistics are procedures used to

make inferences about a population, given

only a limited amount of data.

c. Descriptive statistics can be used to describe

populations and samples of data.

13. A researcher measured behavior among all individuals in some small population. Are inferential

statistics necessary to draw conclusions concerning this population? Explain.

14. Appropriately use the terms sample and population to describe the following statement: A statistics class has 25 students enrolled, but only 23

students attended class.

15. On occasion, samples can be larger than the population from which it was selected. Explain why

this can't be true.

16. A researcher demonstrates that eating breakfast in

the morning causes increased alertness throughout the day. What research design must the

researcher have used in this example? Explain.

17. A researcher measures the height and income of

participants and finds that taller men tend to

earn greater incomes than shorter men. What

type of research method did the researcher use in

this example? Explain.

Find the equation of the circle whose centre is (-3, -2) and having

circumference 16r

4. Find the equation of the circle whose centre is (2,3) and which passes

through (1,4)

5. Find the equation of the circle passing through the points (0, 1),(4, 3) and (1, -1).

6. Find the equation of the circle on the line joining the points (1,0), (0,1) and having

its centre on the line x + y = 1

7. If the lines x + y = 6 and x + 2y = 4 are diameters of the circle, and the circle passes

through the point (2, 6) then find its equation.

8. Find the equation of the circle having (4, 7) and (-2, 5) as the extremities of a

diameter.

9. Find the Cartesian equation of the circle whose parametric equations are x = 3cos i ,

y =3 sin i , 0 2 # #i r .

Q. Compute chi-square statistic (4 pts in total; 2 pts each) he cross-tabulation table summarizes an NBA team's game results by game location Game) Won Lost Total Home 12 41 Road 24 17 41 Total 53 29 82 First, calculate the expected frequency for each cell, Show all the calculations. Game) Won Lost Total Home 41 Road 41 Total 53 29 82 Then, calculate the chi-square statistic, Show all the calculationsInterpret the following test result by clicking as many answer as apply. r=.68, p <.01 group of answer choices calculation tukey post hoc is appropriate correlation study was conducted coefficient .36 .01 r-squared r indicates a negative result statistically significant differences between or more groups were studied not .68 positive you will be permitted no than attempts for credit on this probiemj each the following transition matrices. determine whether markov chain with that matrix regular: whose regular yes iii markovr area m as marmotr d u t transitlon states has onestep p="3131" a. write down equilibrium equations. marks b. solve these c. if been running long time what proportion spends in state mark>