The nature of a decision process and its rationality are empirical questions that must be addressed by primary field study, experimental tests, and other means. But whatever your view about the sophistication and rationality of decision making, your models must conform to certain basic principles.

a.         Explain the principles of modeling human behavior (500 words

please at least 450 words

Give the empirical formula of each of the following compounds if a sample contains the following quantities of each element. (Type your answer using the format CO2 for CO₂.)

(a) 0.0455 mol C, 0.039 mol H, and 0.013 mol O



(b) 6.44 g nitrogen and 3.67 g oxygen



(c) 69.9% iron and 30.1% oxygen by mass

Below are possible explanations for the rise in obesity in the US.

Provide empirical evidence to support or refute each explanation.

(a) Increase calories per meal.

(b) Increase in number of meals.

(c) Increase in calories consumed inside the home.

(d) Increase in calories consumed outside the home.

(e) Decrease in calories consumed (e.g. more sedentary lifestyle).

The student will compare and contrast empirical data and a theoretical distribution to determine if Terry Vogel's lap times fit a continuous distribution.

Directions :

Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places.

Collect the Data

1. Use a stratified sampling method by lap (races 1 to 20) and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

135, 130, 131, 129, 126, 133

131, 132, 128, 127, 135, 134

130, 133, 126, 131, 128, 129

132, 135, 134, 128, 130, 131

133, 127, 125, 124, 129, 135

128, 131, 132, 129, 135, 130

Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.

3. Calculate the following:

a. x ¯ = _______

b. s = _______

4. Draw a smooth curve through the tops of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a v-shape, does it have a hump in the middle or at either end and so on?)

Analyze the Distribution

Using your sample mean, sample standard deviation, and histogram to help, what is the approximate theoretical distribution of the data?

• X ~ _____(_____,_____)

• How does the histogram help you arrive at the approximate distribution?

Describe the Data

Use the data you collected to complete the following statements.

• The IQR goes from __________ to __________.

• IQR = __________. (IQR = Q3 - Q1)

• The 15th percentile is _______.

• The 85th percentile is _______.

• The median is _______.

• The empirical probability that a randomly chosen lap time is more than 130 seconds is _______.

• Explain the meaning of the 85th percentile of this data.

Theoretical Distribution

Using the theoretical distribution, complete the following statements. You should use a normal approximation based on your sample data.

• The IQR goes from __________ to __________.

• IQR = _______.

• The 15th percentile is _______.

• The 85th percentile is _______.

• The median is _______.

• The probability that a randomly chosen lap time is more than 130 seconds is _______.

• Explain the meaning of the 85th percentile of this distribution.

The nature of a decision process and its rationality are empirical questions that must be addressed by primary field study, experimental tests, and other means. But whatever your view about the sophistication and rationality of decision making, your models must conform to certain basic principles.

a.         Explain the principles of modeling human behavior (700 words)

Determine the empirical and molecular formulas of each of the following substances

Part A

Ibuprofen, a headache remedy, contains 75.69% C, 8.80% H, and 15.51% O by mass, and has a molar mass of 206 g/mol.

Express your answers as chemical formulas separated by a comma.

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Part B

Cadaverine, a foul smelling substance produced by the action of bacteria on meat, contains 58.55% C, 13.81% H, and 27.40% N by mass; its molar mass is 102.2 g/mol.

Express your answers as chemical formulas separated by a comma.

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Part C

Epinephrine (adrenaline), a hormone secreted into the bloodstream in times of danger or stress, contains 59.0%C, 7.1% H, 26.2% O, and 7.7% N by mass; its MW is about 180 amu.

Express your answers as chemical formulas separated by a comma.

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A sample of a substance with the empirical formula XBr2 weighs 0.5210 g. When it is dissolved in water and all its bromine is converted to insoluble AgBr by addition of an excess of silver nitrate, the mass of the resulting AgBr is found to be 0.6586 g. The chemical reaction is XBr2 + 2 AgNO32AgBr + X(NO3)2

(a) Calculate the formula mass of XBr2. Formula mass XBr2 = g mol-1

(b) Calculate the atomic mass of X. Atomic mass X = g mol-1

1. According to the empirical rule, for a distribution that is symmetric and bell-shaped, approximately _______ of the data values will lie within 3 standard deviations on each side of the mean.

2. Assuming that the heights of boys in a high-school basket- ball tournament are normally distributed with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 are expected to be taller than 75 inches?

3. Let x be a random variable that represents the length of time it takes a student to complete Dr. Gill’s chemistry lab project. From long experience, it is known that x has a normal distribution with mean μ = 3.6 hours and standard deviation σ = 0.5.

Convert each of the following x intervals to standard z intervals.

(a) x ≥ 4.5 4. (a) __________________________

(b) 3 ≤ x ≤ 4 (b) __________________________

(c) x ≤ 2.5 (c) __________________________

Convert each of the following z intervals to raw-score x intervals.

(d) z ≤ −1 (d) __________________________

(e) 1 ≤ z ≤ 2 (e) __________________________

(f) z ≥ 1.5 (f)_ __________________________

A sample of a substance with the empirical formula XCl2 weighs 0.5555 g. When it is dissolved in water and all its chlorine is converted to insoluble AgCl by addition of an excess of silver nitrate, the mass of the resulting AgCl is found to be 1.1681 g. The chemical reaction is XCl2 + 2 AgNO32AgCl + X(NO3)2

(a) Calculate the formula mass of XCl₂.

(b) Calculate the atomic mass of X.

Taxation Assignment:

XXX Ltd is a UK resident trading company. The company's statement of profit or loss for the year ended 31 March 2018 is as follows:                                                                            

   £                         £

Gross profit                                                                              1,200,500
Other income
     Loan stock interest (note 1)                                                   15,750
     Rental income (note 2)                                                          24,000
Expenses
     Salaries                                                        282,000
     Depreciation                                                 70,500
     Loss on sale of non-current asset                   2,500
     Impairment losses (all trade)                         3,800
     Professional fees (note 3)                              14,300
     Repairs and renewals (note 4)                       18,700
     Other expenses (note 5)                                28,500
                                                                                                                  (420,300)
Finance costs                                                                           
     Loan interest (note 6)                                                            (15,300)
Profit before taxation                                                                804,650

Notes:

1 Loan stock interest
The loan stock interest is in respect of loan stock held by XXX Ltd as an investment. The
amount of £15,750 is the amount received and accrued to 31 March 2018.

2 Rental income
The rental income is in respect of a warehouse which is held as an investment and is let out to an
unconnected company. The rental received of £24,000 is also the amount accrued to
31 March 2018.

3 Professional fees

Professional fees are as follows:
                                                                                              £

Accountancy and audit fees                                                       5,600
Debt collection of trade debts                                                    5,100
Legal fees in connection with renewing a 25 year lease               1,300
Legal fees in connection with director's motoring offences           2,300
                                                                                           14,300

4 Repairs and renewals

Repairs and renewals include:
                                                                                               £
Extension to factory                                                                   9,988
Repainting exterior of company's offices                                     4,500

5 Other expenses

Other expenses include:

                                                                                                          £
100 pens with an advertisement for company, given to customers           1,200

Qualifying charitable donation                                                                6,000


6 Loan interest
The loan interest relates to the warehouse let out (see note (2)). The amount shown is the amount
paid and accrued to 31 March 2018.

REQUIRED:    

What are XXX Ltd's trading profits for the year ended 31 March 2018? Start with the profit before taxation figure of £804,650 and list all of the items in the statement of profit or loss indicating by the use of a zero (0) any items that do not require adjustment.     

What are XXX Ltd's taxable total profits for the year ended 31 March 2018?

What are XXX Ltd's net profit after tax for the year ended 31 March 2018?