1. Choose the statement below that is not true:

A: The Empirical rule applies to all normal distributions.

B: Both the Poisson and the exponential distributions are characterized by only their mean.

C: All of the statements are true.

D: Poisson distributions tend to be less useful the higher the mean is.

E: The exponential distribution tends to be a good fit for counting the discrete number of events per time interval.

2.Combining the standard deviations of two negatively correlated normally distributed random variables results in a lower combined standard deviation than if the same two standard deviations were uncorrelated. (Hint: come up with an example and test against it)

True

False

Use the group structure of the periodic table and the octet rule to predict the empirical formulas and the molecular geometries for the binary compounds that hydrogen forms with the elements polonium, chlorine, arsenic, and tin.

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)_ __________________________