Answer:
D…
Step-by-step explanation:
Yours^(I can’t)
1/2 pieces of the hole because you can simplify 2/4 by dividing it by 2 and you'll get 1/2
Answers:
- C) 5/14
- A) 2/16
===========================================
Explanations:
- We have 5+9 = 14 people who don't have a dog. Of this total, 5 have a cat. So that's where 5/14 comes from. We ignore the top row because we know 100% that this person doesn't have a dog (based on what the "given" says).
- Focus on the top row. This is because we're given or told that the person completed the hw. We have 2 people who failed the test out of 14+2 = 16 people who did the hw. The fraction 2/16 reduces to 1/8, but it appears your teacher doesn't want you to reduce.
Answer
test statistic
P-value ![p- value = 0.0198](https://tex.z-dn.net/?f=p-%20value%20%20%3D%20%200.0198)
Step-by-step explanation:
From the question we are told that
The first sample size is ![n_1 = 5](https://tex.z-dn.net/?f=n_1%20%20%3D%205)
The first sample mean is ![\= x_1 = 1.76 \ mm](https://tex.z-dn.net/?f=%5C%3D%20x_1%20%20%3D%20%201.76%20%5C%20mm)
The first standard is ![s_1 = 0.55](https://tex.z-dn.net/?f=s_1%20%20%20%3D%20%200.55)
The second is ![sample \ size\ is\ n_2 = 11](https://tex.z-dn.net/?f=sample%20%5C%20size%5C%20is%5C%20%20n_2%20%3D%20%2011)
The second sample mean is ![\= x_2 = 2.56](https://tex.z-dn.net/?f=%5C%3D%20x_2%20%20%20%3D%202.56)
The second standard deviation is ![\sigma = 0.84](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%200.84)
The level of significance is ![\alpha = 0.01](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.01)
The null hypothesis is ![H_o : \mu_1 - \mu_2 = 0](https://tex.z-dn.net/?f=H_o%20%3A%20%20%5Cmu_1%20-%20%5Cmu_2%20%3D%200)
The alternative hypothesis is ![H_a: \mu_1 - \mu_2 < 0](https://tex.z-dn.net/?f=H_a%3A%20%5Cmu_1%20-%20%5Cmu_2%20%3C%20%200)
Generally the test statistics is mathematically represented as
![t = \frac{ (\= x _1 - \= x_2) - ( \mu_1 - \mu_2)}{ \sqrt{\frac{s_1 ^2 }{ n_1 } + \frac{s_1 ^2 }{ n_1 } } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%20%28%5C%3D%20x%20_1%20-%20%5C%3D%20x_2%29%20-%20%28%20%5Cmu_1%20-%20%5Cmu_2%29%7D%7B%20%5Csqrt%7B%5Cfrac%7Bs_1%20%5E2%20%7D%7B%20n_1%20%7D%20%20%2B%20%5Cfrac%7Bs_1%20%5E2%20%7D%7B%20n_1%20%7D%20%20%7D%20%7D)
=> ![t = \frac{ (1.76 - 2.56 ) - 0 }{ \sqrt{\frac{0.55^2 }{ 5 } + \frac{0.84^2 }{11 } } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%20%281.76%20-%202.56%20%29%20-%200%20%7D%7B%20%5Csqrt%7B%5Cfrac%7B0.55%5E2%20%7D%7B%205%20%7D%20%20%2B%20%5Cfrac%7B0.84%5E2%20%7D%7B11%20%7D%20%20%7D%20%7D)
=>
Generally degree of freedom is mathematically represented as
![df = n_1 + n_2 - 2](https://tex.z-dn.net/?f=df%20%20%3D%20n_1%20%2B%20n_2%20-%202)
=> ![df = 5 + 11 - 2](https://tex.z-dn.net/?f=df%20%20%3D%205%20%2B%2011%20-%202)
=> ![df = 14](https://tex.z-dn.net/?f=df%20%20%3D%2014)
From the student t distribution table the probability value to the left that corresponds to
at a degree of freedom of
is
![p- value = 0.0198](https://tex.z-dn.net/?f=p-%20value%20%20%3D%20%200.0198)
Answer: B. the 1101 people interviewed.
Step-by-step explanation:
- A sample is a subset of an entire population that we take to perform analysis regarding the required information.
Given : An opinion poll contacts 1101 adults and asks them, " Which political party do you think has better ideas for leading the country in the 21st century?" In all, 613 of the 1101 say, " The Democrats."
Here, 1101 adults are representing the subset of entire population of adults in US.
Therefore, The sample in this setting is 1101 people interviewed.
Hence, the correct answer is option(B).