The absolute minimum is the smallest value that a mathematical function can have over its entire curve
Answer:
Cluster sampling
Step-by-step explanation:
Cluster sampling refers to the sampling that is used in market analysis. It is used when a researcher can not obtain information as a whole for the population but may obtain information through the groups or clusters
In the given case since andrew divides the residents through regions so this reflected the cluster sampling method
Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity
Sample 1 (aqueous film forming foam)
n₁= 5
X[bar]₁= 4.7
S₁= 0.6
Sample 2 (alcohol-type concentrates )
n₂= 5
X[bar]₂= 6.8
S₂= 0.8
Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?
The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:
t= ![\frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }](https://tex.z-dn.net/?f=%5Cfrac%7B%28X%5Bbar%5D_1%20-%20X%5Bbar%5D_2%29%20-%20%28mu_1%20-%20mu_2%29%7D%7BSa%2A%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%20%7D%20%7D%20%7D)
a) 95% CI
(X[bar]_1 - X[bar]_2) ±
*![Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }](https://tex.z-dn.net/?f=Sa%2A%20%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%20%7D)
Sa²=
=
= 0.5
Sa= 0.707ç
![t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306](https://tex.z-dn.net/?f=t_%7Bn_1%20%2B%20n_2%20-2%3A%201%20-%20%5Calpha%20%2F2%7D%20%3D%20t_%7B8%3B%200.975%7D%20%3D%202.306)
(4.7-6.9) ± 2.306* ![(0.707\sqrt{\frac{1}{5}+\frac{1}{5} })](https://tex.z-dn.net/?f=%280.707%5Csqrt%7B%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B5%7D%20%7D%29)
[-4.78; 0.38]
With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.
b.
The hypothesis is:
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
The interval contains the cero, so the decision is to reject the null hypothesis.
<u>Complete question</u>
a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?
Answer:
m<ABC = 100degrees
m<IJG = 104degrees
Step-by-step explanation:
14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;
m<ADC + m<ABC = 180
3y+8+4y+4 = 180
7y + 12 = 180
7y = 180 - 12
7y = 168
y = 168/7
y = 24
Get <ABC
m<ABC = 4y+4
m<ABC = 4(24) + 4
m<ABC = 96 + 4
m<ABC = 100degrees
15. Similarly for this;
GHI + IJG = 180
76 + m<IJG = 180
m<IJG = 180 - 76
m<IJG = 104degrees
He can mow 12 lawns in 4 hours.
to get the answer you just multiply the amounts of lawns he mowed by the hours it’s asking.