For each part, decide whether the blank should be filled in with =, , and give a

clear explanation. In (a) and (b), order doesn't matter.

(a) (number of ways to choose 5 people out of 10) (number of ways to choose 6

people out of 10)

(b) (number of ways to break 10 people into 2 teams of 5) (number of ways to

break 10 people into a team of 6 and a team of 4)

(c) (probability that all 3 people in a group of 3 were born on January 1) (probability that in a group of 3 people, 1 was born on each of January 1, 2, and 3)

Martin and Gale play an exciting game of "toss the coin," where they toss a fair coin

until the pattern HH occurs (two consecutive Heads) or the pattern TH occurs

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.

(4) Is the Markov chain whose transition matrix whose transition matrix is 0 0.4 0.67 regular? (Yes or No) (5) Is the Markov chain whose transition matrix whose transition matrix is 0.2 0 0.8 0.6 0.4 0 regular? (Yes or No)Plant Code: Stomin Plant Code # Stormat Find of C Top of Leaf Field of View Bottom of Leaf 65 Ave: 0 AVE: 636 Sider 73 Range 0 23 Plant Code: # Stomata Plant Code: # Stomata Top of Leaf Field of Field of View Bottom of Leaf View 18 2 20 3 18 5 20 Avc: 0 Ave: 19.2 Sidcy: |0 Sidcy: 0.98 Range: Range: 2 3) (4 pts) Are there stomata on the top of either leaf? If so, what does this mean about your surface area calculation above ? Restate the leal surface area range here, adjusting as needed: Leaf Surface Area in may Leaf Surface Area in num (average) (range) Plant PlantAn article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 159 kN load on a runway with a subbase thickness of 407 mm, the average surface deflection was 3.22 mm with a standard deviation of 0.48 mm. a. Can you conclude that the mean surface deflection is greater than 3 mm? Round the test statistic to four decimal places. b. Can you conclude that the mean surface deflection is greater than 2.5 mm? Round the test statistic to four decimal places