You are determining whether or not 20 healthcare workers surveyed determine whether they are normotensive or prehypertensive. The 20 healthcare workers were classified as either normal BMI or Overweight. Perform a chi-square test of independence to assess the association between the Blood pressure and the BMI.

1. Are the results statistically significant at the 0.05 level?

2. Provide a statement of the results, based on the significance of the test. Also, include the statistical notation.

A random group of thirty customers at a local theater was interviewed regarding their movie viewing habits. The following responses were obtained for the question, “How many times during the past month did you go to the movies?” Number of movies attended 0 1 2 3 4 Number of customers 3 10 8 6 3 a. b. Find the probability that a customer selected at random went to the movies:

1) more than one time, 2) two times, 3) at least two times, 4) no more than three times.

Find the forecast for all the four quarters for the year 9 & 10.

Design a system with one input called “Up” such that when “Up” equals 1, the machine counts 2, 3, 4, 5, 6, and repeat. If the “Up” input equals 0, the machine counts down 6, 5, 4, 3, 2, and repeat.

Show the State Transition Diagram, State Transition table, K-maps, and equations assuming JK flip flops and AND/OR/NOT combinational logic. Make sure to indicate on your State Transition Diagram what happens if the system initially is in one of the unused states (0, 1, or 7).

Given the following total cost schedule of a firm, derive the total fixed cost and total variable cost schedules of the firm, and from them derive the average fixed cost, average variable cost, average total cost, and marginal cost schedules of the firm.

Q1. Answer question above using the table below:

Quantity TC($) TFC TVC AFC AVC   ATC MC

Q 0 1 2 3 4 5

TC $30 50 60 81 118 180

1. Why are components made from steel or aluminum alloy used on aircraft?

2. For each of the following suggest a part on an aircraft that needs that particular material property: hardness, strength, elasticity, placidity, ductility, toughness, and brittleness.

3. Explain in why exceeding the yield point causes permeant stain, and how that is measured and calculated.

4. What do the temperatures on 1 & 2 of the iron– Carbon phase diagram indicate, shown in the presentation? What is the difference between 3 & 5? Four (4) represents the melted region; will the composition of the alloy be the same?

There are three mutually exclusive alternatives, as vendors to outsource a project, with the following cash flow and useful life. Which of these three alternatives would you recommend to be selected? The MARR is 10% per year.

For each of the following situations where the price of x decreases from p¹_x to p²_x (a-b), calculate the following:

i) the optimal basket at time 1 and time 2.

ii) the income and substitution effect. What type of good does this suggest good x is?

iii) the compensating and equivalent variation. Explain in words what these mean.

(a) u(x,y) = 5xy, p¹_x = 9, p²_x = 4, p_y = 3, I = 72.

(b) u(x,y) = 7x^1/3y^1/3, p¹_x = 4, p²_x = 1, p_y = 2, I = 64

Old Southwest Canning Co. has determined that any one of four machines can be used in its chili-canning operation. The cost of the machines are estimated below, and all machines have a 5-year life. If the minimum attractive rate of return is 25% per year, determine which machine should be selected on the basis of a rate of return analysis.

Machine  (Click to select)  4  2  1  3  should be selected.