Submitted by: (Insert Name Here **REMOVE THIS NOTE PRIOR TO SUBMITTING**)

(Note: Your labs should be well organized, with results clearly identified and in the proper order. When answering questions, be sure to use complete sentences and proper grammar. It is also important for you to fully explain your answers! Please do not answer “yes” (or “no”); you should explain why the answer is “yes”. **REMOVE THIS NOTE PRIOR TO SUBMITTING**)

Part 1. Normal Distributions and Birth Weights in America

(Insert your answers to the 5 questions on Birth Weights here. Be sure to carefully follow the examples worked in the Normal Ex worksheet from the Week6Lab.xls file. Copy-and-paste the Excel commands and/or Normal Probability Distributions you use to answer Questions 2a, 3a and 4a. You do not need to copy-and-paste anything for the other questions; you must provide your answers, however. **REMOVE THIS NOTE PRIOR TO SUBMITTING**)

a)We see from the graph that is between 7 and 7.5 , the only period of gestation having a mean between 7 and 7.5 is: 37 to 39 weeks (is 7.33)

Answer: 37 to 39 weeks

b)We see from the graph that is between 7.5 and 8 , and the distance between and 7 seems to be 2 times the distance between and 8so is approx 7 2/3= 7.667 so we select the gestation period: 42 weeks and over (having a mean of 7.65)

Answer: 42 weeks and over

c)We see from the graph that is a little greater than 4 , the only period gestation having that mean is 28 to 31 weeks (it has a mean of 4.07)

Answer: 28 to 31 weeks

2)

a)X= weight of birth (period: 28 weeks), =1.88 =1.19 P(X

...Elementary Statistics
iLabWeek6
Statistical Concepts:
* Data Simulation
* Discrete Probability Distribution
* Confidence Intervals
Calculations for a set of variables
Mean Median
3.2 3.5
4.5 5.0
3.7 4.0
3.7 3.0
3.1 3.5
3.6 3.5
3.1 3.0
3.6 3.0
3.8 4.0
2.6 2.0
4.3 4.0
3.5 3.5
3.3 3.5
4.1 4.5
4.2 5.0
2.9 2.5
3.5 4.0
3.7 3.5
3.5 3.0
3.3 4.0
Calculating Descriptive Statistics
Descriptive Statistics: Mean, Median
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
Mean 20 0 3.560 0.106 0.476 2.600 3.225 3.550 3.775 4.500
Median 20 0 3.600 0.169 0.754 2.000 3.000 3.500 4.000 5.000
Calculating Confidence Intervals for one Variable
One-Sample T: Sleep
Variable N Mean StDev SE Mean 95% CI
Sleep 20 6.950 1.572 0.352 (6.214, 7.686)
One-Sample T: Sleep
Variable N Mean StDev SE Mean 99% CI
Sleep 20 6.950 1.572 0.352 (5.944, 7.956)
Short Answer Writing Assignment
All answers should be complete sentences.
1. When rolling a die, is this an example of a discrete or continuous random variable? Explain your reasoning.
It is a discrete random variable because the values of the variable is 1 of the 6 values in the set (1,2,3,4,5,6), Since this set is infinite, the random variable is discrete. |
2. Calculate the mean and standard...

...iLab, Week #6
CRUDE OIL DISTILLATION
Introduction
The purpose of this lab was to see how temperature changes the chemical properties of crude oil and how heat distills the crude oil. The boiling points of organic compounds can provide important information regarding other physical properties. The distillation of a substance is based on the boiling points. When the crude oil is brought to a boil (275 °C), the gasoline and kerosene are distilled, but the lubricant remains a part of the crude oil.
Procedure
1) From the Equipment menu, select Distillation Equipment and obtain a 100 mL Round Bottom Flask.
2) Click on the flask and select Distillation Equipment from the Equipment menu. Obtain the Heating Mantel.
3) Obtain the Distillation Head, the Condenser, and the Distillation take-off.
4) Obtain a 100 mL Graduated Cylinder and place it under the Distillation take-off (To set the Thermometer for Celsius or Fahrenheit, select Equipment under the ChemLab Options menu).
5) With the entire apparatus selected, activate the Chemicals dialog box from either the ChemLab Chemicals menu. Add 50 mL of Crude Oil to the Round Bottom Flask.
6) Turn the Mantel transformer to 100% from the ChemLab Options menu and allow the ceramic mantle to heat up. Once the crude oil starts to boil, reduce the transformer to about 60%. Maintain a level of heating so that a continuous drop-wise flow runs into the graduated cylinder (A rate...

...Statistics – Lab #6
Name:__________
Statistical Concepts:
* Data Simulation
* Discrete Probability Distribution
* Confidence Intervals
Calculations for a set of variables
Answer:
Calculating Descriptive Statistics
Answer:
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
Mean 20 0 3.560 0.106 0.476 2.600 3.225 3.550 3.775 4.500
Median 20 0 3.600 0.169 0.754 2.000 3.000 3.500 4.000 5.000
Calculating Confidence Intervals for one Variable
Answer:
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
Mean 20 0 3.560 0.106 0.476 2.600 3.225 3.550 3.775 4.500
Median 20 0 3.600 0.169 0.754 2.000 3.000 3.500 4.000 5.000
Short Answer Writing Assignment
All answers should be complete sentences.
1. When rolling a die, is this an example of a discrete or continuous random variable? Explain your reasoning.
Rolling a die is a discrete random variable. The random variable can take values like X = 1,2,3,4,5,6 which will always be number and can never be 1.0001 or 1.99 etc. |
2. Calculate the mean and standard deviation of the probability distribution created by rolling a die. Either show work or explain how your answer was calculated.
Mean: 3.5 Standard deviation: 1.7I calculated by using the excel- x | P(x) | Mean | (x^2*P(x)) | Standard Deviation |
1 |...

...Z+—that is, assume that =2+(k-1). For n=k+1, = + (k+1) = 2+ (k-1)+(k+1)= 2+ (2k)= (2=k+1)= 2+k*. So by the Principle of Mathematical Induction, S(n) is true for all n ∈ Z+.
c)
For n=1, =1=(1+1)!-1. So S(1)is true. Assume S(k)is true, for some (particular) k ∈ Z+—that is, assume that = (k+1)!-1. For n=k+1, = +(k+1)(k+1)!=(k+1)!-1+(k+1)(k+1)!=[ 1+(k+1)](k+1)!-1=(K+2)(k+1!-1=(k2)!-1. Hence, it follows that S(k)⇒S(k + 1) is true for all n ∈ Z+ and since S(1) is true for all problems a-c, n ≥ 1is true by the Principle of Mathematical Induction.
18. Consider the following four equations:
1) 1 = 1
2) 2 + 3 + 4 = 1 + 8
3) 5 + 6 + 7 + 8 + 9 = 8 + 27
4) 10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Conjecture the general formula suggested by these four equations, and proves your conjecture.
a) Conjecture:
the general formula suggested by these four equations shows the sum of sequential integers from (n^2+1) to (n+1)^2 = n^3 + (n+1)^3. Therefore the Sum can written as for all of n∈N, (), (), ()+… +(n = =+ +(n
a. Proof: ==(2n+1)+(2n+1)(2n+2)/2=+(
4.2
5. Give a recursive definition for the intersection of the sets A1, A2, . . . , An, An+1 ⊆ _, n ≥ 1. Use the result in part (a) to show that for all n, r ∈ Z+ with n ≥ 3 and 1 ≤ r < n,(A1 ∩ A2 ∩ ・ ・ ・ ∩ Ar ) ∩ (Ar+1 ∩ ・ ・ ・ ∩ An) _ A1 ∩ A2 ∩ ・ ・ ・ ∩ Ar ∩ Ar+1 ∩ ・ ・ ・ ∩ An.
Solution...

...
Week 5/6iLab Report
SriLakshmi Avireneni
DeVry University
MIS589: Networking Concepts and Applications
MIXED 11B/11G WLAN PERFORMANCE
Submitted to: David Apaw
Professor: Name of your professor
Date: 4/12/2015
Mixed 11b/11g WLAN Performance
1. In your opinion, what is the purpose of our dropping the transmit power to such a low level?
I believe having 1 node or just a few nodes would be accessing this access point. With dropping the power output will help increase stability if there is a lot of interference with outside noise. This node might not need the extra performance or the extra distance a higher transmit power would generate.
2. What do access point connectivity statistics collected for the roaming station show?
The Access Point Connectivity statistics collected show that the data remains the same. AP Connectivity remained constant throughout the 30 seconds of the simulation.
3. What do you think the Wireless LAN control traffic received by the roaming 11b node when it is in the engineering building is composed of?
According to the lab help files it contains random outcomes for the size of generated packets (specified in bytes)
4. How much did our roaming node reduce the total throughput in our heavily loaded WLAN?
When the simulation started, throughput was at 25,500,000 bits/sec. At 13 seconds which is when the roaming node entered the engineering building, throughput dropped to about 21,600,000...

...Formulas
Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:
• Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra).
• Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name:
|If your last |For part (a) of problem 92 use this information to calculate the child’s |For part (b) of problem 92 use this |
|name starts with letter|dose. |information to calculate the child’s |
| | |age. |
|A or Z |adult dose 400mg ibuprofen; 5 year old child |800mg adult, 233mg child |
|C or X |adult dose 500mg amoxicillin; 11 year old child |250mg adult, 52mg child |
|E or V |adult dose 1000mg acetaminophen; 8 year old child |600mg adult, 250mg child |
|G or T |adult dose 75mg Tamiflu; 6 year old child |500mg adult, 187mg child |
|I or R |adult dose 400mg ibuprofen; 7 year old child...

...multiples a term to be followed in order for the equation to be complete. Lastly removing parentheses is another step you should follow in any equations or expression. You must remove the parentheses in order to solve the equation.
I will now demonstrate how the properties of real numbers are used while I simplify the following expressions.
2a (a – 5) + 4(a – 5)
2a2-10a+4a-20
2a2-6a-20
The given expression I multiply by distributive property and that allowed me to remove the parentheses. Then I combined the like terms by adding the coefficients. The distributive property removes the parentheses. I did not have change any order of operations the like term was already together in the middle of the expression.
2w – 3 + 3(w – 4) – 5(w – 6)
2w – 3 + 3w -12 – 5w +30
2w +3w -5w -3 -12 +30
w +15
With this given expression I had to distribute the property in order to remove the parentheses. I move the like terms so they can be arrange together using the commutative property to switch their places. Also two of the variable terms are added and two of the constant terms are also added. I then added the like terms and now this expression is simplified.
0.05(0.3m + 35n) – 0.8(-0.09n – 22m)
0.015m + 1.75n + 0.072n + 17.6m
0.015m + 17.6m + 1.75n + 0.072n
17.615m +1.822n
With this given expression I had to distribute the properties and remove the parentheses. I arrange the like terms and then combined them together using the commutative property....

...Up for the Determination of the Coefficient of the Friction
determine its average value. Lastly, Plot Wb along the abscissa (x-axis) and Wp along the ordinate (y-axis). Get the slope of the line.
Table 1. Determination if the Coefficient Friction
TRIAL (Wblock + Weightadded)
Wb(Wpan + Weightadded)
WpCoefficient Friction
µ
1 138.9 g 30 g 0.22
2 238.9 g 40 g 0.17
3 138.9 g 30 g 0.22
4 238.9 g 85 g 0.36
5 338.9 g 105 g 0.31
Coefficient Friction, µ Average 0.26
36577988298130036518854626610Figure 6. Set up for Determination of the Angle Repose
Figure 6. Set up for Determination of the Angle Repose
Based on the gathered data in Table 1, adding smaller weights on top of the block and adjusting the weights on the pan will make the coefficient friction a little constant.
The second part of the experiment is “Determination of the Angle of Repose” as shown in Figure 6. The first procedure is to remove the string that is tied to the block then place the block, facing its wider side, to the center of the plane’s surface then gradually incline the plane until such time that you observe the same type of motion the block had. Next is to measure the corresponding vertical height (h) and horizontal (b) then record them. Just repeat measuring until you get five (5) trials. Lastly, compute the coefficient of motion by getting the tangent of the angle.
Table 2. Determination of the...