Neighborhood 3 1 4 With campaign Without campaign 4.0 3.2 2.5 5.0 2.8 4.0 3.8 4.4 4.3 4.0 Is the amount of food waste per household in the neighborhoods targeted by the campaign lower, on average, than in those not targeted by the campaign? Use a = 0.05.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Do the question in order
![Drop-off points (points de collecte in French), where residents can dispose of their organic waste
for composting, were established in each of the five targeted neighborhoods of PROBLEM 1.
Camille wants to see whether or not there exists a relationship between the average weekly amount
of non-disposed food waste per household and the availability of drop-off points in the
neighborhood, expressed as the number of households per drop-off point (considered fixed). Her
data and some of her preliminary calculations are presented below:
Number of
Amount of non-
(x, – x)*
(Y, -Y)
(x; - x)(Y, – Y)
households per
drop-off point
disposed food waste per
household (kg/week)
Yi
Xi
387.5
4.0
7656.25
0.25
43.75
337.5
3.2
1406.25
0.09
-11.25
187.5
2.5
12656.25
1.00
112.50
412.5
5.0
12656.25
2.25
168.75
175.0
2.8
15625
0.49
87.50
E; = 1500
Σ 17.5
E; = 50000
Σ -4.08
Ej = 401.25
2) Camille also calculated the slope of the fitted regression line: estimated slope = 0.008. Test
whether or not the availability of drop-off points in the neighborhood has a linear effect on the
amount of non-disposed food waste per household. Use a =
: 0.10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aacacdb-b1cd-42a5-b00f-4ebef102db2d%2F7d359d92-15e8-4ad6-8f4e-5e6370dbb307%2F3bwyf7p_processed.png&w=3840&q=75)
![Camille for her part wants to assess the impact of an awareness campaign aimed at reducing
the amount of household food waste. The campaign is taking place in a subset of
neighborhoods of Ville de Montréal. Camille's objective is to compare the average amount of
food waste produced in those neighborhoods, with that in neighborhoods not targeted by the
campaign. Therefore, she randomly chooses five neighborhoods targeted by the campaign and
five neighborhoods where the campaign does not take place. In each of the 10 neighborhoods,
she monitors the weekly amount of food waste (kg) for each of a number of households, and
calculates amounts on a per household basis; see below.
Neighborhood
1
2
3
4
5
With campaign
Without campaign
4.0
3.2
2.5
5.0
2.8
4.0
3.8
4.4
4.3
4.0
Is the amount of food waste per household in the neighborhoods targeted by the campaign
lower, on average, than in those not targeted by the campaign? Use a = 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aacacdb-b1cd-42a5-b00f-4ebef102db2d%2F7d359d92-15e8-4ad6-8f4e-5e6370dbb307%2Ftfnyj2_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
With | Without | D | (D-Dbar)^2 |
4 | 4 | 0 | 0.36 |
3.2 | 3.8 | -0.6 | 0 |
2.5 | 4.4 | -1.9 | 1.69 |
5 | 4.3 | 0.7 | 1.69 |
2.8 | 4 | -1.2 | 0.36 |
The mean is given by
The standard deviation is given by
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