During a hockey match, Jordan slips and crashes into the goalie who is initially motionless. Jordan grabs onto the goalie so they slide together after the collision. Jordan has a mass of 86 kg and the goalie has a mass of 95kg. If the two hockey players are sliding at 2.9 m/s after the collision, how fast was Jordan sliding before the collision? Friction and air resistance may be neglected.

Your organization currently has a defined contribution pension plan with employees contributing up to 3% with a company match. Effective with the first pay of the new year, new employees will no longer be enrolled in that plan. Instead, they will be enrolled in the new Group Registered Retirement Savings Plan (RRSP) with the same contribution options. In your own words, explain the difference in the T4 information slip reporting for these two groups of employees.

Your organization currently has a defined contribution pension plan with employees contributing up to 3% with a company match. Effective with the first pay of the new year, new employees will no longer be enrolled in that plan. Instead, they will be enrolled in the new Group Registered Retirement Savings Plan (RRSP) with the same contribution options. In your own words, explain the difference in the T4 information slip reporting for these two groups of employees.

Find the measures of the marked angles in the triangle below if you know that a/c=10/11 and a/2=b/3. Hint: if x/y=w/z then xz=wy. In other words, if two fractions are equal, the products you obtain from cross-multiplying will also be equal. (Do not use a protractor to measure the angles below since the diagram is not drawn to perfectly match the angles of your answer.)

Your organization currently has a defined contribution pension plan with employees contributing up to 3% with a company match. Effective with the first pay of the new year, new employees will no longer be enrolled in that plan. Instead, they will be enrolled in the new Group Registered Retirement Savings Plan (RRSP) with the same contribution options. In your own words, explain the difference in the T4 information slip reporting for these two groups of employees.

The following algorithm returns true if the n items in an array are all distinct, i.e., if no two items are equal to each other, otherwise it returns false. 1 ALGORITHM UniqueElements(A[1..n]) 2 // Determine whether all the elements in an array are distinct 3 // Input: Array A[1..n] 4 // Output: “true” if all elements of A are distinct, “false” otherwise 5 for i ← 1 to n – 1 do 6 for j ← i + 1 to n do 7 if A[i] = A[j] return false 8 return true The basic operation is the comparison of two array elements at line 7. Determine the number of basic operations performed for an input of size n. Write your answer in simplest form, if possible.

Recall in the one sample hypothesis testing scenario that we investigated the following presumptions based on previous research, "no evidence currently exists supporting or refuting the use of electric fans during heat waves" in terms of mortality and illness, as well as Public Health guidelines suggesting not using fans during hot weather, with some research reporting the potential of fans accelerating body heating.

You decide to further your research project by hypothesizing that the true proportion of core body temperature increases amidst higher ambient temperature and humidity levels for the population who do not use electric fans is less than those who do use electric fans, setting the level of significance at 10% for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 44 and 15 participants for your first and second groups, respectively, based on your research funding and for 45 minutes, all study participants sit in a chamber maintained at a temperature of 108 degrees Fahrenheit (i.e., 42 degrees Celsius) and a relative humidity of 70%. After the first 45-minute warming period, you record the participants' core body temperatures. Furthermore, for Group 2 only you place a personal sized electric fan 3 feet away with its airflow directed at a given participant's chest area, and the participants relax in this position for the next 45 minutes, whereas for Group 1 you do not provide electric fans. At the end of this 45-minute fan period, you record the core body temperatures of all participants, documenting any temperature increases as compared to the start of the time period. The following table comprises the data you collect.

Per Steps 4 and 5 of the 5-Steps to Hypothesis Testing, compute the test statistic using the appropriate test statistic formula and choose the appropriate formal and informal conclusions.

Please note the following: 1) 0 and 1 are defined as no and yes, respectively, which is a typical coding scheme in Public Health; 2) you may copy and paste the data into Excel to facilitate analysis; and 3) do not round your numerical answer that you submit as the online grading system is designed to mark an answer correct if your response is within a given range. In other words, the system does not take into account rounding. On the other hand, rounding is preferable when formally reporting your statistical results to colleagues.

Research Methods and Design I – Short Assignment #7 – Crazy Correlations

This individual assignment is related to your Chapter 5 (Salkind) material.

Below is a scatterplot between two variables – “Alcohol Consumption” and “Academic Performance.” Fill in the data table (Participant #1 through #20)! I’ll give you the academic performance score, so just make sure to find the corresponding alcohol consumption score using the scores on the X-axis of the chart below.

2). Does there appear to be a correlation between these two variables? If yes, is it a direct correlation (positive) or indirect correlation (negative)?

3). Calculate the specific correlation coefficient for this data. What does r =

4). What are three possible explanations for this correlation? (Note – These can include “third variable” explanations)

5) ). Now design an experimental study to investigate these two variables. What is your hypothesis? What type of hypotheses does the experimental method allow you to test that the correlational method does not? (Note: You can disregard ethical limitations here! Just design an experimental study rather than a purely correlational study). For the study you design, what is your independent variable? What is your dependent variable? How did you operationally define your variables here?

Using the information in the following table and assuming that the cost of transferring units between 2 adjacent departments is $5/unit and between 2 non-adjacent departments is $8/unit,

1. Calculate the cost for the existing layout.     
2. Design a layout that will have a lower cost and calculate the cost.

Existing Layout

Top-Down Design of a Program in PYTHON

Following the process described in the lecture, you should, as a team, perform a top-down design for a program. Then, construct code for the program.

Open the Excel file entitled “Lab8-data.xlsx”. This document lists thermodynamic properties of liquid water at varying temperatures and at two different pressures. The properties listed are as follows:

• Specific volume (v ) in units of m3kg
• Specific internal energy (u ) in units of kJ/kg
• Specific enthalpy (h ) in units of kJ/kg
• Specific entropy (s ) in units of kJ/(kg∙K)

It is common to use linear interpolation for temperature values not listed. So, for example, if you need the properties at T=25 ℃ , you could interpolate between the property values listed for T=20 ℃ and T=40 ℃ as a good estimate.

For your program, hard-code the temperature and property values for P = 5 MPa as lists for temperatures from T=0 ℃ to at least T=100 ℃ . Have the user enter a temperature in that range from the keyboard. Your program should find the two values of temperature that bracket the user’s value, then perform linear interpolation for all four properties. The results should be formatted and printed to the screen based on the example output shown below. Print the specific volume, specific internal energy, specific enthalpy, and specific entropy to 7, 2, 2, and 4 decimal places, respectively.

Example output (using input 50):

Enter a temperature between 0 and 260 C: 50

Properties at 50.0 deg C are:

Specific volume (m^3/kg): 0.0010103

Specific internal energy (kJ/kg): 208.60

Specific enthalpy (kJ/kg): 213.66

Specific entropy (kJ/kgK): 0.6996