Answer:
The third option: 3(x-4)
Step-by-step explanation:
In this case factoring means we want our x variable to be on its own and not have a coefficient, so:
3x-12
= 3·x + 3·4
= 3(x+4)
Answer:
1.7321
Step-by-step explanation:
I got this answer when I went through the steps.
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is
The variance is
The second mean is
The second variance is
Let the level of significance be
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically
=>
=>
Generally the degree of freedom is mathematically represented as
=>
Generally from the t- distriibution table the critical value of at a degree of freedom of is
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that
Samples of n:
This means that the standard deviation is:
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
I think its (b) because you would have to go up 2 and over 3