Acompany that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. you want to test this claim. during your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 42.3 milligrams. assume the population is normally distributed and the population standard deviation is 7.1 milligrams. at alphaequals0.04, can you reject the company's claim

Step-by-step explanation:

Put hypotheses as:

(Two tailed test at 4%)

Since population std deviation is  given we can do Z test.

Test statistic t = mean diff/se =

p value=0.075

Since p >0.04 our alpha, we accept null hypothesis.

At alphaequals0.04, we cannot reject the company's claim

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: