When only two treatments are involved, ANOVA and the Student’s t test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of 6 students who took the course in the normal lecture format. The other group of 8 students took the course as a distance course format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups.

Traditional Lecture (first column) Distance (second column)

38 42

35 33

37 46

35 35

32 49

37 33

      44

      41

a-1.) Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p value to 4 decimal places.)

a-2.) Use a α = 0.05 level of significance. (Round your answer to 2 decimal places.)

B) Using the t test from Chapter 11, compute t. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

C)There is any difference in the mean test scores.

Given the sequence of numbers: 20, 7, 34, 29, 43, 40, 8, 12, 30, 42

(a)[7 pts] Show the resulting BST after inserting the numbers as keys.

(b)[9 pts] What will be the resulting tree if you delete the root? Show the tree and explain the steps taken in deleting the root according to the delete procedure we discussed in class.

(c)[9 pts] Can you reorder the original sequence of numbers to obtain a tree of a smaller height? If, yes, show the permutation of the sequence and the new tree. If no, argue why a smaller height is not obtainable.

A 1.03-kg glider on a horizontal air track is pulled by a string at an angle ?. The taut string runs over a pulley and is attached to a hanging object of mass m = 0.450 kg.

Find the tension in the string at the instant the glider is released for h₀ = 79.0 cm and ? = 34.0°

Suppose that Imagineland is an open economy. Initially, the government balanced. Suppose the government runs a budget surplus.

a. Use the appropriate diagrams to determine the effects on the real interest funds market.

b. In the foreign currency exchange market, show the effects of the budget the balance of trade.

3.70 kg / min of air as ideal gas enters a steady state compressor that runs adiabatically. Air enters P1 = 300 kPa and T1 = 440 K and exits at P2 = 500 kPa. If the isentropic efficiency of the turbine is 0.876, what is the work, in kW?

6) What are the minimum expected values of starting torque, pull up torque and breakdown torque for a 60 Hz, eight pole, 100 HP, NEMA A design B induction motor which runs at 870 RPM when operating at rated load?

An antelope is at a distance of 20.0 m from a converging lens of focal length 27.0 cm. The lens forms an image of the animal.
(a) If the antelope runs away from the lens at a speed of 4.10 m/s, how fast does the image move? mm/s

Simone runs a small business and receives an invoice for $1000 payable in 30 days. The invoice offers a discount of 2% for immediate payment. If Simone doesn’t pay immediately and instead pays in 30 days, what effective annual interest rate is she paying?

A window washer on a scaffold hoists the scaffold up the side of a building by pulling down on a rope that runs over a pulley and connects back to the top of the scaffold. The combined mass of the worker and the scaffold is 100kg, and the washer pulls on the rope with a force of 800N. What is the acceleration of the scaffold?

Simone runs a small business and receives an invoice for $1000 payable in 30 days. The invoice offers a discount of 2% for immediate payment. If Simone doesn’t pay immediately and instead pays in 30 days, what effective annual interest rate is she paying?