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
4:10 is smaller because when put into fraction form and making the denominators even, 12:20 comes out to be 6/10
Answer:
x≤7.8 ⇒(-∞;7.8]
x<7.8 ⇒ (-∞;7.8)
x>7.8 ⇒ (7.8; ∞)
x≥7.8 ⇒ [7.8; ∞)
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
• x≤7.8
The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets
(-∞;7.8]
• x<7.8
All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)
(-∞;7.8)
• x>7.8
All the numbers higher than 7.8, open interval (parenthesis)
(7.8; ∞)
• x≥7.8
All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)
[7.8; ∞)
8 times four is less than 6 squared by 4, because 8*4 = 32 and 6^2 = 36 then 36-32 = 4.